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accesskey="z"><span>Halaman Utama</span></a></li><li id="n-Daftar-isi" class="mw-list-item"><a href="/wiki/Wikipedia:Isi"><span>Daftar isi</span></a></li><li id="n-recentchanges" class="mw-list-item"><a href="/wiki/Istimewa:Perubahan_terbaru" title="Daftar perubahan terbaru dalam wiki. [r]" accesskey="r"><span>Perubahan terbaru</span></a></li><li id="n-Artikel-pilihan" class="mw-list-item"><a href="/wiki/Wikipedia:Artikel_pilihan/Topik"><span>Artikel pilihan</span></a></li><li id="n-currentevents" class="mw-list-item"><a href="/wiki/Portal:Peristiwa_terkini" title="Temukan informasi tentang peristiwa terkini"><span>Peristiwa terkini</span></a></li><li id="n-newpage" class="mw-list-item"><a href="/wiki/Istimewa:Halaman_baru"><span>Halaman baru</span></a></li><li id="n-randompage" class="mw-list-item"><a href="/wiki/Istimewa:Halaman_sembarang" title="Tampilkan sembarang halaman [x]" accesskey="x"><span>Halaman sembarang</span></a></li><li id="n-specialpages" class="mw-list-item"><a href="/wiki/Istimewa:Halaman_istimewa"><span>Halaman istimewa</span></a></li> </ul> </div> </div> <div id="p-Komunitas" class="vector-menu mw-portlet mw-portlet-Komunitas" > <div class="vector-menu-heading"> Komunitas </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="n-Warung-Kopi" class="mw-list-item"><a href="/wiki/Wikipedia:Warung_Kopi"><span>Warung Kopi</span></a></li><li id="n-portal" class="mw-list-item"><a href="/wiki/Portal:Komunitas" title="Tentang proyek, apa yang dapat Anda lakukan, di mana untuk mencari sesuatu"><span>Portal komunitas</span></a></li><li id="n-help" class="mw-list-item"><a href="/wiki/Bantuan:Isi" title="Tempat mencari bantuan."><span>Bantuan</span></a></li> </ul> </div> </div> <div id="p-Wikipedia" class="vector-menu mw-portlet mw-portlet-Wikipedia" > <div class="vector-menu-heading"> Wikipedia </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="n-aboutsite" class="mw-list-item"><a href="/wiki/Wikipedia:Perihal"><span>Tentang Wikipedia</span></a></li><li id="n-Pancapilar" class="mw-list-item"><a href="/wiki/Wikipedia:Pancapilar"><span>Pancapilar</span></a></li><li id="n-Kebijakan" class="mw-list-item"><a href="/wiki/Wikipedia:Kebijakan_dan_pedoman"><span>Kebijakan</span></a></li><li id="n-Hubungi-kami" class="mw-list-item"><a href="/wiki/Wikipedia:Hubungi_kami"><span>Hubungi kami</span></a></li><li id="n-Bak-pasir" class="mw-list-item"><a href="/wiki/Wikipedia:Bak_pasir"><span>Bak pasir</span></a></li> </ul> </div> </div> <div id="p-Bagikan" class="vector-menu mw-portlet mw-portlet-Bagikan emptyPortlet" > <div class="vector-menu-heading"> Bagikan </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> </div> </div> </div> </div> </nav> <a href="/wiki/Halaman_Utama" class="mw-logo"> <img class="mw-logo-icon" src="/static/images/icons/wikipedia.png" alt="" aria-hidden="true" height="50" width="50"> <span class="mw-logo-container skin-invert"> <img class="mw-logo-wordmark" alt="Wikipedia" src="/static/images/mobile/copyright/wikipedia-wordmark-en.svg" style="width: 7.5em; height: 1.125em;"> <img class="mw-logo-tagline" alt="Ensiklopedia Bebas" src="/static/images/mobile/copyright/wikipedia-tagline-id.svg" width="120" height="14" style="width: 7.5em; height: 0.875em;"> </span> </a> </div> <div class="vector-header-end"> <div id="p-search" role="search" class="vector-search-box-vue vector-search-box-collapses vector-search-box-show-thumbnail vector-search-box-auto-expand-width vector-search-box"> <a href="/wiki/Istimewa:Pencarian" class="cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only search-toggle" title="Cari di Wikipedia [f]" accesskey="f"><span class="vector-icon mw-ui-icon-search mw-ui-icon-wikimedia-search"></span> <span>Pencarian</span> </a> <div class="vector-typeahead-search-container"> <div class="cdx-typeahead-search cdx-typeahead-search--show-thumbnail cdx-typeahead-search--auto-expand-width"> <form action="/w/index.php" id="searchform" class="cdx-search-input cdx-search-input--has-end-button"> <div id="simpleSearch" class="cdx-search-input__input-wrapper" data-search-loc="header-moved"> <div class="cdx-text-input cdx-text-input--has-start-icon"> <input class="cdx-text-input__input" type="search" name="search" placeholder="Telusuri Wikipedia" aria-label="Telusuri Wikipedia" autocapitalize="sentences" title="Cari di Wikipedia [f]" accesskey="f" id="searchInput" > <span class="cdx-text-input__icon cdx-text-input__start-icon"></span> </div> <input type="hidden" name="title" value="Istimewa:Pencarian"> </div> <button class="cdx-button cdx-search-input__end-button">Cari</button> </form> </div> </div> </div> <nav class="vector-user-links vector-user-links-wide" aria-label="Perkakas pribadi"> <div class="vector-user-links-main"> <div id="p-vector-user-menu-preferences" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <div id="p-vector-user-menu-userpage" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <nav class="vector-appearance-landmark" aria-label="Tampilan"> <div id="vector-appearance-dropdown" class="vector-dropdown " title="Change the appearance of the page's font size, width, and color" > <input type="checkbox" id="vector-appearance-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-appearance-dropdown" class="vector-dropdown-checkbox " aria-label="Tampilan" > <label id="vector-appearance-dropdown-label" for="vector-appearance-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-appearance mw-ui-icon-wikimedia-appearance"></span> <span class="vector-dropdown-label-text">Tampilan</span> </label> <div class="vector-dropdown-content"> <div id="vector-appearance-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <div id="p-vector-user-menu-notifications" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <div id="p-vector-user-menu-overflow" class="vector-menu mw-portlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="https://donate.wikimedia.org/?wmf_source=donate&wmf_medium=sidebar&wmf_campaign=id.wikipedia.org&uselang=id" class=""><span>Menyumbang</span></a> </li> <li id="pt-createaccount-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=Istimewa:Buat_akun&returnto=Volume" title="Anda dianjurkan untuk membuat akun dan masuk log; meskipun, hal itu tidak diwajibkan" class=""><span>Buat akun baru</span></a> </li> <li id="pt-login-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=Istimewa:Masuk_log&returnto=Volume" title="Anda disarankan untuk masuk log, meskipun hal itu tidak diwajibkan. [o]" accesskey="o" class=""><span>Masuk log</span></a> </li> </ul> </div> </div> </div> <div id="vector-user-links-dropdown" class="vector-dropdown vector-user-menu vector-button-flush-right vector-user-menu-logged-out" title="Opsi lainnya" > <input type="checkbox" id="vector-user-links-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-user-links-dropdown" class="vector-dropdown-checkbox " aria-label="Perkakas pribadi" > <label id="vector-user-links-dropdown-label" for="vector-user-links-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-ellipsis mw-ui-icon-wikimedia-ellipsis"></span> <span class="vector-dropdown-label-text">Perkakas pribadi</span> </label> <div class="vector-dropdown-content"> <div id="p-personal" class="vector-menu mw-portlet mw-portlet-personal user-links-collapsible-item" title="Menu pengguna" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport" class="user-links-collapsible-item mw-list-item"><a href="https://donate.wikimedia.org/?wmf_source=donate&wmf_medium=sidebar&wmf_campaign=id.wikipedia.org&uselang=id"><span>Menyumbang</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Istimewa:Buat_akun&returnto=Volume" title="Anda dianjurkan untuk membuat akun dan masuk log; meskipun, hal itu tidak diwajibkan"><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>Buat akun baru</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Istimewa:Masuk_log&returnto=Volume" title="Anda disarankan untuk masuk log, meskipun hal itu tidak diwajibkan. [o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>Masuk log</span></a></li> </ul> </div> </div> <div id="p-user-menu-anon-editor" class="vector-menu mw-portlet mw-portlet-user-menu-anon-editor" > <div class="vector-menu-heading"> Halaman penyunting yang telah keluar log <a href="/wiki/Bantuan:Pengantar" aria-label="Pelajari lebih lanjut tentang menyunting"><span>pelajari lebih lanjut</span></a> </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-anoncontribs" class="mw-list-item"><a href="/wiki/Istimewa:Kontribusi_saya" title="Daftar suntingan yang dibuat dari alamat IP ini [y]" accesskey="y"><span>Kontribusi</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/Istimewa:Pembicaraan_saya" title="Pembicaraan tentang suntingan dari alamat IP ini [n]" accesskey="n"><span>Pembicaraan</span></a></li> </ul> </div> </div> </div> </div> </nav> </div> </header> </div> <div class="mw-page-container"> <div class="mw-page-container-inner"> <div class="vector-sitenotice-container"> <div id="siteNotice"></div> </div> <div class="vector-column-start"> <div class="vector-main-menu-container"> <div id="mw-navigation"> <nav id="mw-panel" class="vector-main-menu-landmark" aria-label="Situs"> <div id="vector-main-menu-pinned-container" class="vector-pinned-container"> </div> </nav> </div> </div> <div class="vector-sticky-pinned-container"> <nav id="mw-panel-toc" aria-label="Daftar isi" data-event-name="ui.sidebar-toc" class="mw-table-of-contents-container vector-toc-landmark"> <div id="vector-toc-pinned-container" class="vector-pinned-container"> <div id="vector-toc" class="vector-toc vector-pinnable-element"> <div class="vector-pinnable-header vector-toc-pinnable-header vector-pinnable-header-pinned" data-feature-name="toc-pinned" data-pinnable-element-id="vector-toc" > <h2 class="vector-pinnable-header-label">Daftar isi</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">pindah ke bilah sisi</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">sembunyikan</button> </div> <ul class="vector-toc-contents" id="mw-panel-toc-list"> <li id="toc-mw-content-text" class="vector-toc-list-item vector-toc-level-1"> <a href="#" class="vector-toc-link"> <div class="vector-toc-text">Awal</div> </a> </li> <li id="toc-Rumus_volume" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Rumus_volume"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Rumus volume</span> </div> </a> <button aria-controls="toc-Rumus_volume-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Gulingkan subbagian Rumus volume</span> </button> <ul id="toc-Rumus_volume-sublist" class="vector-toc-list"> <li id="toc-Rasio_volume_untuk_kerucut,_bola,_dan_tabung_dengan_tinggi_dan_jari-jari_sama" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Rasio_volume_untuk_kerucut,_bola,_dan_tabung_dengan_tinggi_dan_jari-jari_sama"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.1</span> <span>Rasio volume untuk kerucut, bola, dan tabung dengan tinggi dan jari-jari sama</span> </div> </a> <ul id="toc-Rasio_volume_untuk_kerucut,_bola,_dan_tabung_dengan_tinggi_dan_jari-jari_sama-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Penentuan_rusuk,_sisi_dan_titik" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Penentuan_rusuk,_sisi_dan_titik"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Penentuan rusuk, sisi dan titik</span> </div> </a> <ul id="toc-Penentuan_rusuk,_sisi_dan_titik-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Volume_dalam_kalkulus" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Volume_dalam_kalkulus"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Volume dalam kalkulus</span> </div> </a> <ul id="toc-Volume_dalam_kalkulus-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Satuan_volume" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Satuan_volume"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Satuan volume</span> </div> </a> <ul id="toc-Satuan_volume-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Volume_dalam_termodinamika" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Volume_dalam_termodinamika"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Volume dalam termodinamika</span> </div> </a> <ul id="toc-Volume_dalam_termodinamika-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Referensi" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Referensi"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>Referensi</span> </div> </a> <ul id="toc-Referensi-sublist" class="vector-toc-list"> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="Daftar isi" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" title="Daftar Isi" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="Gulingkan daftar isi" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">Gulingkan daftar isi</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">Volume</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="Pergi ke artikel dalam bahasa lain. Terdapat 119 bahasa" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-119" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">119 bahasa</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-af mw-list-item"><a href="https://af.wikipedia.org/wiki/Volume" title="Volume – Afrikaans" lang="af" hreflang="af" data-title="Volume" data-language-autonym="Afrikaans" data-language-local-name="Afrikaans" class="interlanguage-link-target"><span>Afrikaans</span></a></li><li class="interlanguage-link interwiki-anp mw-list-item"><a href="https://anp.wikipedia.org/wiki/%E0%A4%86%E0%A4%AF%E0%A4%A4%E0%A4%A8" title="आयतन – Angika" lang="anp" hreflang="anp" data-title="आयतन" data-language-autonym="अंगिका" data-language-local-name="Angika" class="interlanguage-link-target"><span>अंगिका</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%AD%D8%AC%D9%85" title="حجم – Arab" lang="ar" hreflang="ar" data-title="حجم" data-language-autonym="العربية" data-language-local-name="Arab" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-ary mw-list-item"><a href="https://ary.wikipedia.org/wiki/%D9%82%D8%AF" title="قد – Arab Maroko" lang="ary" hreflang="ary" data-title="قد" data-language-autonym="الدارجة" data-language-local-name="Arab Maroko" class="interlanguage-link-target"><span>الدارجة</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/Volume" title="Volume – Asturia" lang="ast" hreflang="ast" data-title="Volume" data-language-autonym="Asturianu" data-language-local-name="Asturia" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/H%C9%99cm" title="Həcm – Azerbaijani" lang="az" hreflang="az" data-title="Həcm" data-language-autonym="Azərbaycanca" data-language-local-name="Azerbaijani" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-ba mw-list-item"><a href="https://ba.wikipedia.org/wiki/%D0%9A%D2%AF%D0%BB%D3%99%D0%BC" title="Күләм – Bashkir" lang="ba" hreflang="ba" data-title="Күләм" data-language-autonym="Башҡортса" data-language-local-name="Bashkir" class="interlanguage-link-target"><span>Башҡортса</span></a></li><li class="interlanguage-link interwiki-bcl mw-list-item"><a href="https://bcl.wikipedia.org/wiki/Bolyum" title="Bolyum – Central Bikol" lang="bcl" hreflang="bcl" data-title="Bolyum" data-language-autonym="Bikol Central" data-language-local-name="Central Bikol" class="interlanguage-link-target"><span>Bikol Central</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%90%D0%B1%E2%80%99%D1%91%D0%BC" title="Аб’ём – Belarusia" lang="be" hreflang="be" data-title="Аб’ём" data-language-autonym="Беларуская" data-language-local-name="Belarusia" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-be-x-old mw-list-item"><a href="https://be-tarask.wikipedia.org/wiki/%D0%90%D0%B1%E2%80%99%D1%91%D0%BC" title="Аб’ём – Belarusian (Taraškievica orthography)" lang="be-tarask" hreflang="be-tarask" data-title="Аб’ём" data-language-autonym="Беларуская (тарашкевіца)" data-language-local-name="Belarusian (Taraškievica orthography)" class="interlanguage-link-target"><span>Беларуская (тарашкевіца)</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%9E%D0%B1%D0%B5%D0%BC" title="Обем – Bulgaria" lang="bg" hreflang="bg" data-title="Обем" data-language-autonym="Български" data-language-local-name="Bulgaria" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bh mw-list-item"><a href="https://bh.wikipedia.org/wiki/%E0%A4%86%E0%A4%AF%E0%A4%A4%E0%A4%A8" title="आयतन – Bhojpuri" lang="bh" hreflang="bh" data-title="आयतन" data-language-autonym="भोजपुरी" data-language-local-name="Bhojpuri" class="interlanguage-link-target"><span>भोजपुरी</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%86%E0%A6%AF%E0%A6%BC%E0%A6%A4%E0%A6%A8" title="আয়তন – Bengali" lang="bn" hreflang="bn" data-title="আয়তন" data-language-autonym="বাংলা" data-language-local-name="Bengali" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-br mw-list-item"><a href="https://br.wikipedia.org/wiki/Volum" title="Volum – Breton" lang="br" hreflang="br" data-title="Volum" data-language-autonym="Brezhoneg" data-language-local-name="Breton" class="interlanguage-link-target"><span>Brezhoneg</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Zapremina" title="Zapremina – Bosnia" lang="bs" hreflang="bs" data-title="Zapremina" data-language-autonym="Bosanski" data-language-local-name="Bosnia" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Volum" title="Volum – Katalan" lang="ca" hreflang="ca" data-title="Volum" data-language-autonym="Català" data-language-local-name="Katalan" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cdo mw-list-item"><a href="https://cdo.wikipedia.org/wiki/T%C4%81%CC%A4-c%C3%A9k" title="Tā̤-cék – Mindong" lang="cdo" hreflang="cdo" data-title="Tā̤-cék" data-language-autonym="閩東語 / Mìng-dĕ̤ng-ngṳ̄" data-language-local-name="Mindong" class="interlanguage-link-target"><span>閩東語 / Mìng-dĕ̤ng-ngṳ̄</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%D9%82%DB%95%D8%A8%D8%A7%D8%B1%DB%95" title="قەبارە – Kurdi Sorani" lang="ckb" hreflang="ckb" data-title="قەبارە" data-language-autonym="کوردی" data-language-local-name="Kurdi Sorani" class="interlanguage-link-target"><span>کوردی</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Objem" title="Objem – Ceko" lang="cs" hreflang="cs" data-title="Objem" data-language-autonym="Čeština" data-language-local-name="Ceko" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%9A%D0%B0%D0%BB%C4%83%D0%BF%C4%83%D1%88" title="Калăпăш – Chuvash" lang="cv" hreflang="cv" data-title="Калăпăш" data-language-autonym="Чӑвашла" data-language-local-name="Chuvash" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-cy mw-list-item"><a href="https://cy.wikipedia.org/wiki/Cyfaint" title="Cyfaint – Welsh" lang="cy" hreflang="cy" data-title="Cyfaint" data-language-autonym="Cymraeg" data-language-local-name="Welsh" class="interlanguage-link-target"><span>Cymraeg</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Rumfang" title="Rumfang – Dansk" lang="da" hreflang="da" data-title="Rumfang" data-language-autonym="Dansk" data-language-local-name="Dansk" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Volumen" title="Volumen – Jerman" lang="de" hreflang="de" data-title="Volumen" data-language-autonym="Deutsch" data-language-local-name="Jerman" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%8C%CE%B3%CE%BA%CE%BF%CF%82" title="Όγκος – Yunani" lang="el" hreflang="el" data-title="Όγκος" data-language-autonym="Ελληνικά" data-language-local-name="Yunani" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Volume" title="Volume – Inggris" lang="en" hreflang="en" data-title="Volume" data-language-autonym="English" data-language-local-name="Inggris" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Volumeno" title="Volumeno – Esperanto" lang="eo" hreflang="eo" data-title="Volumeno" data-language-autonym="Esperanto" data-language-local-name="Esperanto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Volumen" title="Volumen – Spanyol" lang="es" hreflang="es" data-title="Volumen" data-language-autonym="Español" data-language-local-name="Spanyol" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Ruumala" title="Ruumala – Estonia" lang="et" hreflang="et" data-title="Ruumala" data-language-autonym="Eesti" data-language-local-name="Estonia" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Bolumen_(espazioa)" title="Bolumen (espazioa) – Basque" lang="eu" hreflang="eu" data-title="Bolumen (espazioa)" data-language-autonym="Euskara" data-language-local-name="Basque" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%AD%D8%AC%D9%85" title="حجم – Persia" lang="fa" hreflang="fa" data-title="حجم" data-language-autonym="فارسی" data-language-local-name="Persia" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Tilavuus" title="Tilavuus – Suomi" lang="fi" hreflang="fi" data-title="Tilavuus" data-language-autonym="Suomi" data-language-local-name="Suomi" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Volume" title="Volume – Prancis" lang="fr" hreflang="fr" data-title="Volume" data-language-autonym="Français" data-language-local-name="Prancis" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-frr mw-list-item"><a href="https://frr.wikipedia.org/wiki/R%C3%BCm_(Miat)" title="Rüm (Miat) – Frisia Utara" lang="frr" hreflang="frr" data-title="Rüm (Miat)" data-language-autonym="Nordfriisk" data-language-local-name="Frisia Utara" class="interlanguage-link-target"><span>Nordfriisk</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/Toirt" title="Toirt – Irlandia" lang="ga" hreflang="ga" data-title="Toirt" data-language-autonym="Gaeilge" data-language-local-name="Irlandia" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-gan mw-list-item"><a href="https://gan.wikipedia.org/wiki/%E9%AB%94%E7%A9%8D" title="體積 – Gan" lang="gan" hreflang="gan" data-title="體積" data-language-autonym="贛語" data-language-local-name="Gan" class="interlanguage-link-target"><span>贛語</span></a></li><li class="interlanguage-link interwiki-gcr mw-list-item"><a href="https://gcr.wikipedia.org/wiki/Voloum" title="Voloum – Guianan Creole" lang="gcr" hreflang="gcr" data-title="Voloum" data-language-autonym="Kriyòl gwiyannen" data-language-local-name="Guianan Creole" class="interlanguage-link-target"><span>Kriyòl gwiyannen</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Volume_(magnitude)" title="Volume (magnitude) – Galisia" lang="gl" hreflang="gl" data-title="Volume (magnitude)" data-language-autonym="Galego" data-language-local-name="Galisia" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-hak mw-list-item"><a href="https://hak.wikipedia.org/wiki/Th%C3%AD-chit" title="Thí-chit – Hakka Chinese" lang="hak" hreflang="hak" data-title="Thí-chit" data-language-autonym="客家語 / Hak-kâ-ngî" data-language-local-name="Hakka Chinese" class="interlanguage-link-target"><span>客家語 / Hak-kâ-ngî</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%A0%D7%A4%D7%97" title="נפח – Ibrani" lang="he" hreflang="he" data-title="נפח" data-language-autonym="עברית" data-language-local-name="Ibrani" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%86%E0%A4%AF%E0%A4%A4%E0%A4%A8" title="आयतन – Hindi" lang="hi" hreflang="hi" data-title="आयतन" data-language-autonym="हिन्दी" data-language-local-name="Hindi" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hif mw-list-item"><a href="https://hif.wikipedia.org/wiki/Pasaar" title="Pasaar – Hindi Fiji" lang="hif" hreflang="hif" data-title="Pasaar" data-language-autonym="Fiji Hindi" data-language-local-name="Hindi Fiji" class="interlanguage-link-target"><span>Fiji Hindi</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Obujam" title="Obujam – Kroasia" lang="hr" hreflang="hr" data-title="Obujam" data-language-autonym="Hrvatski" data-language-local-name="Kroasia" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-ht mw-list-item"><a href="https://ht.wikipedia.org/wiki/Volim" title="Volim – Kreol Haiti" lang="ht" hreflang="ht" data-title="Volim" data-language-autonym="Kreyòl ayisyen" data-language-local-name="Kreol Haiti" class="interlanguage-link-target"><span>Kreyòl ayisyen</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/T%C3%A9rfogat" title="Térfogat – Hungaria" lang="hu" hreflang="hu" data-title="Térfogat" data-language-autonym="Magyar" data-language-local-name="Hungaria" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D4%BE%D5%A1%D5%BE%D5%A1%D5%AC" title="Ծավալ – Armenia" lang="hy" hreflang="hy" data-title="Ծավալ" data-language-autonym="Հայերեն" data-language-local-name="Armenia" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-ia mw-list-item"><a href="https://ia.wikipedia.org/wiki/Volumine" title="Volumine – Interlingua" lang="ia" hreflang="ia" data-title="Volumine" data-language-autonym="Interlingua" data-language-local-name="Interlingua" class="interlanguage-link-target"><span>Interlingua</span></a></li><li class="interlanguage-link interwiki-io mw-list-item"><a href="https://io.wikipedia.org/wiki/Volumino" title="Volumino – Ido" lang="io" hreflang="io" data-title="Volumino" data-language-autonym="Ido" data-language-local-name="Ido" class="interlanguage-link-target"><span>Ido</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/R%C3%BAmm%C3%A1l" title="Rúmmál – Islandia" lang="is" hreflang="is" data-title="Rúmmál" data-language-autonym="Íslenska" data-language-local-name="Islandia" class="interlanguage-link-target"><span>Íslenska</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Volume" title="Volume – Italia" lang="it" hreflang="it" data-title="Volume" data-language-autonym="Italiano" data-language-local-name="Italia" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E4%BD%93%E7%A9%8D" title="体積 – Jepang" lang="ja" hreflang="ja" data-title="体積" data-language-autonym="日本語" data-language-local-name="Jepang" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-jam mw-list-item"><a href="https://jam.wikipedia.org/wiki/Valyuum" title="Valyuum – Jamaican Creole English" lang="jam" hreflang="jam" data-title="Valyuum" data-language-autonym="Patois" data-language-local-name="Jamaican Creole English" class="interlanguage-link-target"><span>Patois</span></a></li><li class="interlanguage-link interwiki-jv mw-list-item"><a href="https://jv.wikipedia.org/wiki/Volume" title="Volume – Jawa" lang="jv" hreflang="jv" data-title="Volume" data-language-autonym="Jawa" data-language-local-name="Jawa" class="interlanguage-link-target"><span>Jawa</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%9B%E1%83%9D%E1%83%AA%E1%83%A3%E1%83%9A%E1%83%9D%E1%83%91%E1%83%90" title="მოცულობა – Georgia" lang="ka" hreflang="ka" data-title="მოცულობა" data-language-autonym="ქართული" data-language-local-name="Georgia" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-kab mw-list-item"><a href="https://kab.wikipedia.org/wiki/Able%C9%A3" title="Ableɣ – Kabyle" lang="kab" hreflang="kab" data-title="Ableɣ" data-language-autonym="Taqbaylit" data-language-local-name="Kabyle" class="interlanguage-link-target"><span>Taqbaylit</span></a></li><li class="interlanguage-link interwiki-kbp mw-list-item"><a href="https://kbp.wikipedia.org/wiki/Wonuu_pa%C9%A3laka" title="Wonuu paɣlaka – Kabiye" lang="kbp" hreflang="kbp" data-title="Wonuu paɣlaka" data-language-autonym="Kabɩyɛ" data-language-local-name="Kabiye" class="interlanguage-link-target"><span>Kabɩyɛ</span></a></li><li class="interlanguage-link interwiki-kge mw-list-item"><a href="https://kge.wikipedia.org/wiki/Isi_(Volume)" title="Isi (Volume) – Komering" lang="kge" hreflang="kge" data-title="Isi (Volume)" data-language-autonym="Kumoring" data-language-local-name="Komering" class="interlanguage-link-target"><span>Kumoring</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%9A%D3%A9%D0%BB%D0%B5%D0%BC" title="Көлем – Kazakh" lang="kk" hreflang="kk" data-title="Көлем" data-language-autonym="Қазақша" data-language-local-name="Kazakh" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EB%B6%80%ED%94%BC" title="부피 – Korea" lang="ko" hreflang="ko" data-title="부피" data-language-autonym="한국어" data-language-local-name="Korea" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-krc mw-list-item"><a href="https://krc.wikipedia.org/wiki/%D0%A1%D1%8B%D0%B9%D1%8B%D0%BC" title="Сыйым – Karachai Balkar" lang="krc" hreflang="krc" data-title="Сыйым" data-language-autonym="Къарачай-малкъар" data-language-local-name="Karachai Balkar" class="interlanguage-link-target"><span>Къарачай-малкъар</span></a></li><li class="interlanguage-link interwiki-ku mw-list-item"><a href="https://ku.wikipedia.org/wiki/Qeware" title="Qeware – Kurdi" lang="ku" hreflang="ku" data-title="Qeware" data-language-autonym="Kurdî" data-language-local-name="Kurdi" class="interlanguage-link-target"><span>Kurdî</span></a></li><li class="interlanguage-link interwiki-ky mw-list-item"><a href="https://ky.wikipedia.org/wiki/%D0%9A%D3%A9%D0%BB%D3%A9%D0%BC" title="Көлөм – Kirgiz" lang="ky" hreflang="ky" data-title="Көлөм" data-language-autonym="Кыргызча" data-language-local-name="Kirgiz" class="interlanguage-link-target"><span>Кыргызча</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Capacitas_et_volumen" title="Capacitas et volumen – Latin" lang="la" hreflang="la" data-title="Capacitas et volumen" data-language-autonym="Latina" data-language-local-name="Latin" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lb mw-list-item"><a href="https://lb.wikipedia.org/wiki/Volumen" title="Volumen – Luksemburg" lang="lb" hreflang="lb" data-title="Volumen" data-language-autonym="Lëtzebuergesch" data-language-local-name="Luksemburg" class="interlanguage-link-target"><span>Lëtzebuergesch</span></a></li><li class="interlanguage-link interwiki-lij mw-list-item"><a href="https://lij.wikipedia.org/wiki/Vol%C3%B9mme" title="Volùmme – Liguria" lang="lij" hreflang="lij" data-title="Volùmme" data-language-autonym="Ligure" data-language-local-name="Liguria" class="interlanguage-link-target"><span>Ligure</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/T%C5%ABris" title="Tūris – Lituania" lang="lt" hreflang="lt" data-title="Tūris" data-language-autonym="Lietuvių" data-language-local-name="Lituania" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-ltg mw-list-item"><a href="https://ltg.wikipedia.org/wiki/Vydums" title="Vydums – Latgalian" lang="ltg" hreflang="ltg" data-title="Vydums" data-language-autonym="Latgaļu" data-language-local-name="Latgalian" class="interlanguage-link-target"><span>Latgaļu</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Tilpums" title="Tilpums – Latvia" lang="lv" hreflang="lv" data-title="Tilpums" data-language-autonym="Latviešu" data-language-local-name="Latvia" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-mg mw-list-item"><a href="https://mg.wikipedia.org/wiki/Hadiry" title="Hadiry – Malagasi" lang="mg" hreflang="mg" data-title="Hadiry" data-language-autonym="Malagasy" data-language-local-name="Malagasi" class="interlanguage-link-target"><span>Malagasy</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%97%D0%B0%D1%84%D0%B0%D1%82%D0%BD%D0%B8%D0%BD%D0%B0" title="Зафатнина – Makedonia" lang="mk" hreflang="mk" data-title="Зафатнина" data-language-autonym="Македонски" data-language-local-name="Makedonia" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-ml mw-list-item"><a href="https://ml.wikipedia.org/wiki/%E0%B4%B5%E0%B5%8D%E0%B4%AF%E0%B4%BE%E0%B4%AA%E0%B5%8D%E0%B4%A4%E0%B4%82" title="വ്യാപ്തം – Malayalam" lang="ml" hreflang="ml" data-title="വ്യാപ്തം" data-language-autonym="മലയാളം" data-language-local-name="Malayalam" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-mn mw-list-item"><a href="https://mn.wikipedia.org/wiki/%D0%AD%D0%B7%D0%BB%D1%8D%D1%85%D2%AF%D2%AF%D0%BD" title="Эзлэхүүн – Mongolia" lang="mn" hreflang="mn" data-title="Эзлэхүүн" data-language-autonym="Монгол" data-language-local-name="Mongolia" class="interlanguage-link-target"><span>Монгол</span></a></li><li class="interlanguage-link interwiki-mr mw-list-item"><a href="https://mr.wikipedia.org/wiki/%E0%A4%86%E0%A4%95%E0%A4%BE%E0%A4%B0%E0%A4%AE%E0%A4%BE%E0%A4%A8" title="आकारमान – Marathi" lang="mr" hreflang="mr" data-title="आकारमान" data-language-autonym="मराठी" data-language-local-name="Marathi" class="interlanguage-link-target"><span>मराठी</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Isi_padu" title="Isi padu – Melayu" lang="ms" hreflang="ms" data-title="Isi padu" data-language-autonym="Bahasa Melayu" data-language-local-name="Melayu" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-my mw-list-item"><a href="https://my.wikipedia.org/wiki/%E1%80%91%E1%80%AF%E1%80%91%E1%80%8A%E1%80%BA" title="ထုထည် – Burma" lang="my" hreflang="my" data-title="ထုထည်" data-language-autonym="မြန်မာဘာသာ" data-language-local-name="Burma" class="interlanguage-link-target"><span>မြန်မာဘာသာ</span></a></li><li class="interlanguage-link interwiki-ne mw-list-item"><a href="https://ne.wikipedia.org/wiki/%E0%A4%86%E0%A4%AF%E0%A4%A4%E0%A4%A8" title="आयतन – Nepali" lang="ne" hreflang="ne" data-title="आयतन" data-language-autonym="नेपाली" data-language-local-name="Nepali" class="interlanguage-link-target"><span>नेपाली</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Inhoud_(volume)" title="Inhoud (volume) – Belanda" lang="nl" hreflang="nl" data-title="Inhoud (volume)" data-language-autonym="Nederlands" data-language-local-name="Belanda" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Volum" title="Volum – Nynorsk Norwegia" lang="nn" hreflang="nn" data-title="Volum" data-language-autonym="Norsk nynorsk" data-language-local-name="Nynorsk Norwegia" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Volum" title="Volum – Bokmål Norwegia" lang="nb" hreflang="nb" data-title="Volum" data-language-autonym="Norsk bokmål" data-language-local-name="Bokmål Norwegia" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-oc mw-list-item"><a href="https://oc.wikipedia.org/wiki/Volum" title="Volum – Ositania" lang="oc" hreflang="oc" data-title="Volum" data-language-autonym="Occitan" data-language-local-name="Ositania" class="interlanguage-link-target"><span>Occitan</span></a></li><li class="interlanguage-link interwiki-om mw-list-item"><a href="https://om.wikipedia.org/wiki/Qabee" title="Qabee – Oromo" lang="om" hreflang="om" data-title="Qabee" data-language-autonym="Oromoo" data-language-local-name="Oromo" class="interlanguage-link-target"><span>Oromoo</span></a></li><li class="interlanguage-link interwiki-pa mw-list-item"><a href="https://pa.wikipedia.org/wiki/%E0%A8%86%E0%A8%87%E0%A8%A4%E0%A8%A8" title="ਆਇਤਨ – Punjabi" lang="pa" hreflang="pa" data-title="ਆਇਤਨ" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="Punjabi" class="interlanguage-link-target"><span>ਪੰਜਾਬੀ</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Obj%C4%99to%C5%9B%C4%87" title="Objętość – Polski" lang="pl" hreflang="pl" data-title="Objętość" data-language-autonym="Polski" data-language-local-name="Polski" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pnb mw-list-item"><a href="https://pnb.wikipedia.org/wiki/%D8%AD%D8%AC%D9%85" title="حجم – Western Punjabi" lang="pnb" hreflang="pnb" data-title="حجم" data-language-autonym="پنجابی" data-language-local-name="Western Punjabi" class="interlanguage-link-target"><span>پنجابی</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Volume" title="Volume – Portugis" lang="pt" hreflang="pt" data-title="Volume" data-language-autonym="Português" data-language-local-name="Portugis" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-qu mw-list-item"><a href="https://qu.wikipedia.org/wiki/P%27ulin" title="P'ulin – Quechua" lang="qu" hreflang="qu" data-title="P'ulin" data-language-autonym="Runa Simi" data-language-local-name="Quechua" class="interlanguage-link-target"><span>Runa Simi</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Volum_(geometrie)" title="Volum (geometrie) – Rumania" lang="ro" hreflang="ro" data-title="Volum (geometrie)" data-language-autonym="Română" data-language-local-name="Rumania" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%9E%D0%B1%D1%8A%D1%91%D0%BC" title="Объём – Rusia" lang="ru" hreflang="ru" data-title="Объём" data-language-autonym="Русский" data-language-local-name="Rusia" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sa mw-list-item"><a href="https://sa.wikipedia.org/wiki/%E0%A4%86%E0%A4%AF%E0%A4%A4%E0%A4%A8%E0%A4%AE%E0%A5%8D" title="आयतनम् – Sanskerta" lang="sa" hreflang="sa" data-title="आयतनम्" data-language-autonym="संस्कृतम्" data-language-local-name="Sanskerta" class="interlanguage-link-target"><span>संस्कृतम्</span></a></li><li class="interlanguage-link interwiki-scn mw-list-item"><a href="https://scn.wikipedia.org/wiki/Vulumi" title="Vulumi – Sisilia" lang="scn" hreflang="scn" data-title="Vulumi" data-language-autonym="Sicilianu" data-language-local-name="Sisilia" class="interlanguage-link-target"><span>Sicilianu</span></a></li><li class="interlanguage-link interwiki-sco mw-list-item"><a href="https://sco.wikipedia.org/wiki/Vollum" title="Vollum – Skotlandia" lang="sco" hreflang="sco" data-title="Vollum" data-language-autonym="Scots" data-language-local-name="Skotlandia" class="interlanguage-link-target"><span>Scots</span></a></li><li class="interlanguage-link interwiki-sd mw-list-item"><a href="https://sd.wikipedia.org/wiki/%D8%AD%D8%AC%D9%85" title="حجم – Sindhi" lang="sd" hreflang="sd" data-title="حجم" data-language-autonym="سنڌي" data-language-local-name="Sindhi" class="interlanguage-link-target"><span>سنڌي</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Volumen" title="Volumen – Serbo-Kroasia" lang="sh" hreflang="sh" data-title="Volumen" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="Serbo-Kroasia" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Volume" title="Volume – Simple English" lang="en-simple" hreflang="en-simple" data-title="Volume" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Objem_(matematika)" title="Objem (matematika) – Slovak" lang="sk" hreflang="sk" data-title="Objem (matematika)" data-language-autonym="Slovenčina" data-language-local-name="Slovak" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Prostornina" title="Prostornina – Slovenia" lang="sl" hreflang="sl" data-title="Prostornina" data-language-autonym="Slovenščina" data-language-local-name="Slovenia" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sn mw-list-item"><a href="https://sn.wikipedia.org/wiki/Mumhu" title="Mumhu – Shona" lang="sn" hreflang="sn" data-title="Mumhu" data-language-autonym="ChiShona" data-language-local-name="Shona" class="interlanguage-link-target"><span>ChiShona</span></a></li><li class="interlanguage-link interwiki-so mw-list-item"><a href="https://so.wikipedia.org/wiki/Mug" title="Mug – Somalia" lang="so" hreflang="so" data-title="Mug" data-language-autonym="Soomaaliga" data-language-local-name="Somalia" class="interlanguage-link-target"><span>Soomaaliga</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/V%C3%ABllimi" title="Vëllimi – Albania" lang="sq" hreflang="sq" data-title="Vëllimi" data-language-autonym="Shqip" data-language-local-name="Albania" class="interlanguage-link-target"><span>Shqip</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%97%D0%B0%D0%BF%D1%80%D0%B5%D0%BC%D0%B8%D0%BD%D0%B0" title="Запремина – Serbia" lang="sr" hreflang="sr" data-title="Запремина" data-language-autonym="Српски / srpski" data-language-local-name="Serbia" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Volym" title="Volym – Swedia" lang="sv" hreflang="sv" data-title="Volym" data-language-autonym="Svenska" data-language-local-name="Swedia" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-sw mw-list-item"><a href="https://sw.wikipedia.org/wiki/Mjao" title="Mjao – Swahili" lang="sw" hreflang="sw" data-title="Mjao" data-language-autonym="Kiswahili" data-language-local-name="Swahili" class="interlanguage-link-target"><span>Kiswahili</span></a></li><li class="interlanguage-link interwiki-szl mw-list-item"><a href="https://szl.wikipedia.org/wiki/Uobjynto%C5%9B%C4%87" title="Uobjyntość – Silesia" lang="szl" hreflang="szl" data-title="Uobjyntość" data-language-autonym="Ślůnski" data-language-local-name="Silesia" class="interlanguage-link-target"><span>Ślůnski</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%95%E0%AE%A9_%E0%AE%85%E0%AE%B3%E0%AE%B5%E0%AF%81" title="கன அளவு – Tamil" lang="ta" hreflang="ta" data-title="கன அளவு" data-language-autonym="தமிழ்" data-language-local-name="Tamil" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-te mw-list-item"><a href="https://te.wikipedia.org/wiki/%E0%B0%98%E0%B0%A8%E0%B0%AA%E0%B0%B0%E0%B0%BF%E0%B0%AE%E0%B0%BE%E0%B0%A3%E0%B0%AE%E0%B1%81" title="ఘనపరిమాణము – Telugu" lang="te" hreflang="te" data-title="ఘనపరిమాణము" data-language-autonym="తెలుగు" data-language-local-name="Telugu" class="interlanguage-link-target"><span>తెలుగు</span></a></li><li class="interlanguage-link interwiki-tg mw-list-item"><a href="https://tg.wikipedia.org/wiki/%D2%B2%D0%B0%D2%B7%D0%BC" title="Ҳаҷм – Tajik" lang="tg" hreflang="tg" data-title="Ҳаҷм" data-language-autonym="Тоҷикӣ" data-language-local-name="Tajik" class="interlanguage-link-target"><span>Тоҷикӣ</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%9B%E0%B8%A3%E0%B8%B4%E0%B8%A1%E0%B8%B2%E0%B8%95%E0%B8%A3" title="ปริมาตร – Thai" lang="th" hreflang="th" data-title="ปริมาตร" data-language-autonym="ไทย" data-language-local-name="Thai" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tk mw-list-item"><a href="https://tk.wikipedia.org/wiki/G%C3%B6wr%C3%BCm_birlikleri" title="Göwrüm birlikleri – Turkmen" lang="tk" hreflang="tk" data-title="Göwrüm birlikleri" data-language-autonym="Türkmençe" data-language-local-name="Turkmen" class="interlanguage-link-target"><span>Türkmençe</span></a></li><li class="interlanguage-link interwiki-tl mw-list-item"><a href="https://tl.wikipedia.org/wiki/Volyum" title="Volyum – Tagalog" lang="tl" hreflang="tl" data-title="Volyum" data-language-autonym="Tagalog" data-language-local-name="Tagalog" class="interlanguage-link-target"><span>Tagalog</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Hacim" title="Hacim – Turki" lang="tr" hreflang="tr" data-title="Hacim" data-language-autonym="Türkçe" data-language-local-name="Turki" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%9E%D0%B1%27%D1%94%D0%BC" title="Об'єм – Ukraina" lang="uk" hreflang="uk" data-title="Об'єм" data-language-autonym="Українська" data-language-local-name="Ukraina" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-ur mw-list-item"><a href="https://ur.wikipedia.org/wiki/%D8%AD%D8%AC%D9%85" title="حجم – Urdu" lang="ur" hreflang="ur" data-title="حجم" data-language-autonym="اردو" data-language-local-name="Urdu" class="interlanguage-link-target"><span>اردو</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Hajm" title="Hajm – Uzbek" lang="uz" hreflang="uz" data-title="Hajm" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="Uzbek" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-vec mw-list-item"><a href="https://vec.wikipedia.org/wiki/Vo%C5%82ume" title="Vołume – Venesia" lang="vec" hreflang="vec" data-title="Vołume" data-language-autonym="Vèneto" data-language-local-name="Venesia" class="interlanguage-link-target"><span>Vèneto</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/Th%E1%BB%83_t%C3%ADch" title="Thể tích – Vietnam" lang="vi" hreflang="vi" data-title="Thể tích" data-language-autonym="Tiếng Việt" data-language-local-name="Vietnam" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-war mw-list-item"><a href="https://war.wikipedia.org/wiki/Bolyum" title="Bolyum – Warai" lang="war" hreflang="war" data-title="Bolyum" data-language-autonym="Winaray" data-language-local-name="Warai" class="interlanguage-link-target"><span>Winaray</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/%E4%BD%93%E7%A7%AF" title="体积 – Wu Tionghoa" lang="wuu" hreflang="wuu" data-title="体积" data-language-autonym="吴语" data-language-local-name="Wu Tionghoa" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E4%BD%93%E7%A7%AF" title="体积 – Tionghoa" lang="zh" hreflang="zh" data-title="体积" data-language-autonym="中文" data-language-local-name="Tionghoa" class="interlanguage-link-target"><span>中文</span></a></li><li class="interlanguage-link interwiki-zh-min-nan mw-list-item"><a href="https://zh-min-nan.wikipedia.org/wiki/Th%C3%A9-chek" title="Thé-chek – Minnan" lang="nan" hreflang="nan" data-title="Thé-chek" data-language-autonym="閩南語 / Bân-lâm-gú" data-language-local-name="Minnan" class="interlanguage-link-target"><span>閩南語 / Bân-lâm-gú</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E9%AB%94%E7%A9%8D" title="體積 – Kanton" lang="yue" hreflang="yue" data-title="體積" data-language-autonym="粵語" data-language-local-name="Kanton" class="interlanguage-link-target"><span>粵語</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q39297#sitelinks-wikipedia" title="Sunting pranala interwiki" class="wbc-editpage">Sunting pranala</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav aria-label="Ruang nama"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-nstab-main" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/Volume" title="Lihat halaman isi [c]" accesskey="c"><span>Halaman</span></a></li><li id="ca-talk" class="vector-tab-noicon mw-list-item"><a href="/wiki/Pembicaraan:Volume" rel="discussion" title="Pembicaraan halaman isi [t]" 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wiki yang memiliki pranala ke halaman ini [j]" accesskey="j"><span>Pranala balik</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/Istimewa:Perubahan_terkait/Volume" rel="nofollow" title="Perubahan terbaru halaman-halaman yang memiliki pranala ke halaman ini [k]" accesskey="k"><span>Perubahan terkait</span></a></li><li id="t-permalink" class="mw-list-item"><a href="/w/index.php?title=Volume&oldid=25720030" title="Pranala permanen untuk revisi halaman ini"><span>Pranala permanen</span></a></li><li id="t-info" class="mw-list-item"><a href="/w/index.php?title=Volume&action=info" title="Informasi lanjut tentang halaman ini"><span>Informasi halaman</span></a></li><li id="t-cite" class="mw-list-item"><a href="/w/index.php?title=Istimewa:Kutip&page=Volume&id=25720030&wpFormIdentifier=titleform" title="Informasi tentang bagaimana mengutip halaman ini"><span>Kutip halaman ini</span></a></li><li id="t-urlshortener" class="mw-list-item"><a href="/w/index.php?title=Istimewa:UrlShortener&url=https%3A%2F%2Fid.wikipedia.org%2Fwiki%2FVolume"><span>Lihat URL pendek</span></a></li><li id="t-urlshortener-qrcode" class="mw-list-item"><a href="/w/index.php?title=Istimewa:QrCode&url=https%3A%2F%2Fid.wikipedia.org%2Fwiki%2FVolume"><span>Unduh kode QR</span></a></li> </ul> </div> </div> <div id="p-coll-print_export" class="vector-menu mw-portlet mw-portlet-coll-print_export" > <div class="vector-menu-heading"> Cetak/ekspor </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="coll-create_a_book" class="mw-list-item"><a href="/w/index.php?title=Istimewa:Buku&bookcmd=book_creator&referer=Volume"><span>Buat buku</span></a></li><li id="coll-download-as-rl" class="mw-list-item"><a href="/w/index.php?title=Istimewa:DownloadAsPdf&page=Volume&action=show-download-screen"><span>Unduh versi PDF</span></a></li><li id="t-print" class="mw-list-item"><a href="/w/index.php?title=Volume&printable=yes" title="Versi cetak halaman ini [p]" accesskey="p"><span>Versi cetak</span></a></li> </ul> </div> </div> <div id="p-wikibase-otherprojects" class="vector-menu mw-portlet mw-portlet-wikibase-otherprojects" > <div class="vector-menu-heading"> Dalam proyek lain </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="wb-otherproject-link wb-otherproject-commons mw-list-item"><a href="https://commons.wikimedia.org/wiki/Category:Volumes" hreflang="en"><span>Wikimedia Commons</span></a></li><li id="t-wikibase" class="wb-otherproject-link wb-otherproject-wikibase-dataitem mw-list-item"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q39297" title="Pranala untuk menghubungkan butir pada ruang penyimpanan data [g]" accesskey="g"><span>Butir di Wikidata</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> </div> </div> </div> <div class="vector-column-end"> <div class="vector-sticky-pinned-container"> <nav class="vector-page-tools-landmark" aria-label="Peralatan halaman"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="Tampilan"> <div id="vector-appearance-pinned-container" class="vector-pinned-container"> <div id="vector-appearance" class="vector-appearance vector-pinnable-element"> <div class="vector-pinnable-header vector-appearance-pinnable-header vector-pinnable-header-pinned" data-feature-name="appearance-pinned" data-pinnable-element-id="vector-appearance" data-pinned-container-id="vector-appearance-pinned-container" data-unpinned-container-id="vector-appearance-unpinned-container" > <div class="vector-pinnable-header-label">Tampilan</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">pindah ke bilah sisi</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">sembunyikan</button> </div> </div> </div> </nav> </div> </div> <div id="bodyContent" class="vector-body" aria-labelledby="firstHeading" data-mw-ve-target-container> <div class="vector-body-before-content"> <div class="mw-indicators"> </div> <div id="siteSub" class="noprint">Dari Wikipedia bahasa Indonesia, ensiklopedia bebas</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="id" dir="ltr"><style data-mw-deduplicate="TemplateStyles:r18844875">.mw-parser-output .hatnote{font-style:italic}.mw-parser-output div.hatnote{padding-left:1.6em;margin-bottom:0.5em}.mw-parser-output .hatnote i{font-style:normal}.mw-parser-output .hatnote+link+.hatnote{margin-top:-0.5em}</style><div role="note" class="hatnote navigation-not-searchable">Untuk kegunaan lain, lihat <a href="/wiki/Volume_(disambiguasi)" class="mw-disambig" title="Volume (disambiguasi)">Volume (disambiguasi)</a>.</div> <style data-mw-deduplicate="TemplateStyles:r22657712">.mw-parser-output .infobox-subbox{padding:0;border:none;margin:-3px;width:auto;min-width:100%;font-size:100%;clear:none;float:none;background-color:transparent}.mw-parser-output .infobox-3cols-child{margin:auto}.mw-parser-output .infobox .navbar{font-size:100%}body.skin-minerva .mw-parser-output .infobox-header,body.skin-minerva .mw-parser-output .infobox-subheader,body.skin-minerva .mw-parser-output .infobox-above,body.skin-minerva .mw-parser-output .infobox-title,body.skin-minerva .mw-parser-output .infobox-image,body.skin-minerva .mw-parser-output .infobox-full-data,body.skin-minerva .mw-parser-output .infobox-below{text-align:center}</style><table class="infobox" style="width:20.55em;"><tbody><tr><th colspan="2" class="infobox-above" style="font-style:italic;padding-bottom:0.35em;border-bottom:1px solid #aaa;">Volume, Isi padu</th></tr><tr><td colspan="2" class="infobox-image"><span typeof="mw:File"><a href="/wiki/Berkas:Simple_Measuring_Cup.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/2/27/Simple_Measuring_Cup.jpg/250px-Simple_Measuring_Cup.jpg" decoding="async" width="250" height="289" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/27/Simple_Measuring_Cup.jpg/375px-Simple_Measuring_Cup.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/27/Simple_Measuring_Cup.jpg/500px-Simple_Measuring_Cup.jpg 2x" data-file-width="1020" data-file-height="1180" /></a></span><div class="infobox-caption" style="padding-bottom:0.35em;border-bottom:1px solid #aaa;"><a href="/wiki/Gelas_ukur" title="Gelas ukur">Gelas pengukur</a> dapat digunakan untuk mengukur volume <a href="/wiki/Cairan" title="Cairan">cairan</a>. Gelas ini mengukur volume dalam satuan <a href="https://en.wikipedia.org/wiki/fluid_ounce" class="extiw" title="en:fluid ounce">ons zalir</a> dan <a href="/wiki/Mililiter" class="mw-redirect" title="Mililiter">mililiter</a>.</div></td></tr><tr><th scope="row" class="infobox-label" style="width:auto; padding-top:0.25em;line-height:1.2em; padding-right:0.65em;">Simbol umum</th><td class="infobox-data" style="width:44%;"><i>V</i></td></tr><tr><th scope="row" class="infobox-label" style="width:auto; padding-top:0.25em;line-height:1.2em; padding-right:0.65em;"><a href="/wiki/Satuan_SI" class="mw-redirect" title="Satuan SI">Satuan SI</a></th><td class="infobox-data" style="width:44%;"><a href="/wiki/Meter_kubik" title="Meter kubik">Meter kubik</a> [m<sup>3</sup>]</td></tr><tr><th scope="row" class="infobox-label" style="width:auto; padding-top:0.25em;line-height:1.2em; padding-right:0.65em;">Satuan lainnya</th><td class="infobox-data" style="width:44%;"><a href="/wiki/Liter" title="Liter">Liter</a>, <a href="https://en.wikipedia.org/wiki/Fluid_ounce" class="extiw" title="en:Fluid ounce">ons zalir</a>, <a href="/wiki/Galon" title="Galon">galon</a>, <a href="https://en.wikipedia.org/wiki/quart" class="extiw" title="en:quart">kuart</a>, <a href="https://en.wikipedia.org/wiki/pint" class="extiw" title="en:pint"><i>pint</i></a>, <a href="/wiki/Sendok_teh" title="Sendok teh">sdt</a>, <a href="/wiki/Dram_(satuan)" title="Dram (satuan)">zalir dram</a>, <a href="/w/index.php?title=Inci_kubik&action=edit&redlink=1" class="new" title="Inci kubik (halaman belum tersedia)">in<sup>3</sup></a>, <a href="/w/index.php?title=Yard_kubik&action=edit&redlink=1" class="new" title="Yard kubik (halaman belum tersedia)">yd<sup>3</sup></a>, <a href="/w/index.php?title=Barel_(satuan)&action=edit&redlink=1" class="new" title="Barel (satuan) (halaman belum tersedia)">barel</a></td></tr><tr><th scope="row" class="infobox-label" style="width:auto; padding-top:0.25em;line-height:1.2em; padding-right:0.65em;">Dalam <a href="/wiki/Satuan_pokok_SI" title="Satuan pokok SI">satuan pokok SI</a></th><td class="infobox-data" style="width:44%;">1 <a href="/wiki/Meter" title="Meter">m</a><sup>3</sup></td></tr><tr><th scope="row" class="infobox-label" style="width:auto; padding-top:0.25em;line-height:1.2em; padding-right:0.65em;"><a href="/wiki/Analisis_dimensi" title="Analisis dimensi">Dimensi SI</a></th><td class="infobox-data" style="width:44%;"><b>L</b><sup>3</sup></td></tr></tbody></table> <p><b>Volume</b> atau <b>isi padu</b> adalah penghitungan seberapa banyak ruang yang bisa ditempati dalam suatu objek. Objek itu bisa berupa benda yang beraturan ataupun benda yang tidak beraturan. Benda yang beraturan misalnya <a href="/wiki/Kubus" title="Kubus">kubus</a>, <a href="/wiki/Balok" title="Balok">balok</a>, <a href="/wiki/Silinder" class="mw-redirect" title="Silinder">tabung</a>, <a href="/wiki/Limas" title="Limas">limas</a>, <a href="/wiki/Kerucut" title="Kerucut">kerucut</a>, dan <a href="/wiki/Bola_(geometri)" title="Bola (geometri)">bola</a>. Benda yang tidak beraturan misalnya batu yang ditemukan di jalan. Volume digunakan untuk menentukan <a href="/wiki/Massa_jenis" title="Massa jenis">massa jenis</a> suatu benda. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Rumus_volume">Rumus volume</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Volume&veaction=edit&section=1" title="Sunting bagian: Rumus volume" class="mw-editsection-visualeditor"><span>sunting</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Volume&action=edit&section=1" title="Sunting kode sumber bagian: Rumus volume"><span>sunting sumber</span></a><span class="mw-editsection-bracket">]</span></span></div> <table class="wikitable"> <tbody><tr> <th>Bentuk</th> <th>Rumus volume</th> <th>Variabel </th></tr> <tr> <td><a href="/wiki/Kubus" title="Kubus">Kubus</a> </td> <td style="text-align:center"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle s^{3}\;}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>s</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> <mspace width="thickmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle s^{3}\;}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5caaa448066a3876f96699cd63cfc767d20d3584" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.79ex; height:2.676ex;" alt="{\displaystyle s^{3}\;}"></span> </td> <td><i>s</i> = panjang sisi/rusuk </td></tr> <tr> <td><a href="/wiki/Balok" title="Balok">Balok</a> </td> <td style="text-align:center"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle p\cdot l\cdot t}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>p</mi> <mo>⋅</mo> <mi>l</mi> <mo>⋅</mo> <mi>t</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle p\cdot l\cdot t}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3f07084551b93b732d3288c7e52b5dbe3e0fdb39" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; margin-left: -0.089ex; width:6.15ex; height:2.509ex;" alt="{\displaystyle p\cdot l\cdot t}"></span> </td> <td>p = panjang, l = lebar, t = tinggi </td></tr> <tr> <td><a href="/wiki/Prisma_(geometri)" title="Prisma (geometri)">Prisma</a> </td> <td style="text-align:center"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle L\cdot t}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>L</mi> <mo>⋅</mo> <mi>t</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle L\cdot t}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e498fe1774aaa4d4a23e9b24642916ff5fbee7f8" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:4.102ex; height:2.176ex;" alt="{\displaystyle L\cdot t}"></span> </td> <td><i>L</i> = luas alas, <i>t</i> = tinggi </td></tr> <tr> <td><a href="/w/index.php?title=Prisma_segitiga&action=edit&redlink=1" class="new" title="Prisma segitiga (halaman belum tersedia)">Prisma segitiga</a> </td> <td style="text-align:center"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle ({\frac {1}{2}}at)\cdot tPrisma}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mrow> <mi>a</mi> <mi>t</mi> <mo stretchy="false">)</mo> <mo>⋅</mo> <mi>t</mi> <mi>P</mi> <mi>r</mi> <mi>i</mi> <mi>s</mi> <mi>m</mi> <mi>a</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle ({\frac {1}{2}}at)\cdot tPrisma}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4f1796a86720601964965d598b09f638785f21c5" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:16.353ex; height:5.176ex;" alt="{\displaystyle ({\frac {1}{2}}at)\cdot tPrisma}"></span> </td> <td><i>a</i> = panjang dasar segitiga, <i>t</i> = tinggi prisma, <i>l</i> = length of prism or distance between the triangular bases </td></tr> <tr> <td><a href="/wiki/Limas" title="Limas">Limas</a> </td> <td style="text-align:center"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\frac {1}{3}}Lt}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>3</mn> </mfrac> </mrow> <mi>L</mi> <mi>t</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {1}{3}}Lt}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/dcb67ce3d629763b2d36615866c016a5ae549fcf" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:4.421ex; height:5.176ex;" alt="{\displaystyle {\frac {1}{3}}Lt}"></span> </td> <td><i>L</i> = luas alas, <i>t</i> = tinggi limas </td></tr> <tr> <td><a href="/wiki/Limas_persegi" title="Limas persegi">Limas persegi</a> </td> <td style="text-align:center"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\frac {1}{3}}s^{2}t\;}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>3</mn> </mfrac> </mrow> <msup> <mi>s</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mi>t</mi> <mspace width="thickmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {1}{3}}s^{2}t\;}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e73798ce924e2da1a559b0e5ca3e34b347c19d5e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:5.628ex; height:5.176ex;" alt="{\displaystyle {\frac {1}{3}}s^{2}t\;}"></span> </td> <td><i>s</i> = sisi samping alas limas, <i>t</i> = tinggi </td></tr> <tr> <td><a href="/wiki/Limas_segiempat" class="mw-redirect" title="Limas segiempat">Limas segiempat</a> </td> <td style="text-align:center"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\frac {1}{3}}plt}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>3</mn> </mfrac> </mrow> <mi>p</mi> <mi>l</mi> <mi>t</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {1}{3}}plt}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/aab80131d09a7e1f5ad950517d2c36c0353de307" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:4.701ex; height:5.176ex;" alt="{\displaystyle {\frac {1}{3}}plt}"></span> </td> <td>p = panjang, l = lebar, t = tinggi </td></tr> <tr> <td><a href="/w/index.php?title=Parallelepiped&action=edit&redlink=1" class="new" title="Parallelepiped (halaman belum tersedia)">Parallelepiped</a> </td> <td style="text-align:center"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle abc{\sqrt {K}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> <mi>b</mi> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mi>K</mi> </msqrt> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle abc{\sqrt {K}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f3e4b8b3b1cde51f83356ccc7a33c0ae01c4445d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:7.236ex; height:3.009ex;" alt="{\displaystyle abc{\sqrt {K}}}"></span><br /> <p><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\begin{aligned}K=&1+2\cos(\alpha )\cos(\beta )\cos(\gamma )\\&-\cos ^{2}(\alpha )-\cos ^{2}(\beta )-\cos ^{2}(\gamma )\end{aligned}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mtable columnalign="right left right left right left right left right left right left" rowspacing="3pt" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true"> <mtr> <mtd> <mi>K</mi> <mo>=</mo> </mtd> <mtd> <mn>1</mn> <mo>+</mo> <mn>2</mn> <mi>cos</mi> <mo>⁡</mo> <mo stretchy="false">(</mo> <mi>α</mi> <mo stretchy="false">)</mo> <mi>cos</mi> <mo>⁡</mo> <mo stretchy="false">(</mo> <mi>β</mi> <mo stretchy="false">)</mo> <mi>cos</mi> <mo>⁡</mo> <mo stretchy="false">(</mo> <mi>γ</mi> <mo stretchy="false">)</mo> </mtd> </mtr> <mtr> <mtd /> <mtd> <mi></mi> <mo>−</mo> <msup> <mi>cos</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>⁡</mo> <mo stretchy="false">(</mo> <mi>α</mi> <mo stretchy="false">)</mo> <mo>−</mo> <msup> <mi>cos</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>⁡</mo> <mo stretchy="false">(</mo> <mi>β</mi> <mo stretchy="false">)</mo> <mo>−</mo> <msup> <mi>cos</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>⁡</mo> <mo stretchy="false">(</mo> <mi>γ</mi> <mo stretchy="false">)</mo> </mtd> </mtr> </mtable> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\begin{aligned}K=&1+2\cos(\alpha )\cos(\beta )\cos(\gamma )\\&-\cos ^{2}(\alpha )-\cos ^{2}(\beta )-\cos ^{2}(\gamma )\end{aligned}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7ac7ae70124e4ef3c0338247e5d92c171280bd10" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:35.798ex; height:6.176ex;" alt="{\displaystyle {\begin{aligned}K=&1+2\cos(\alpha )\cos(\beta )\cos(\gamma )\\&-\cos ^{2}(\alpha )-\cos ^{2}(\beta )-\cos ^{2}(\gamma )\end{aligned}}}"></span> </p> </td> <td><i>a</i>, <i>b</i>, and <i>c</i> are the parallelepiped edge lengths, and α, β, and γ are the internal angles between the edges </td></tr> <tr> <td><a href="/wiki/Tetrahedron" title="Tetrahedron">Tetrahedron</a><sup id="cite_ref-Cox_1-0" class="reference"><a href="#cite_note-Cox-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> </td> <td style="text-align:center"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {{\sqrt {2}} \over 12}a^{3}\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>2</mn> </msqrt> </mrow> <mn>12</mn> </mfrac> </mrow> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {{\sqrt {2}} \over 12}a^{3}\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4981067eb214e485499952bda8fed98775873f94" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:6.606ex; height:5.843ex;" alt="{\displaystyle {{\sqrt {2}} \over 12}a^{3}\,}"></span> </td> <td>panjang sisi <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ffd2487510aa438433a2579450ab2b3d557e5edc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.23ex; height:1.676ex;" alt="{\displaystyle a}"></span> </td></tr> <tr> <td><a href="/wiki/Bola_(geometri)" title="Bola (geometri)">Bola</a> </td> <td style="text-align:center"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\frac {4}{3}}\pi r^{3}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>4</mn> <mn>3</mn> </mfrac> </mrow> <mi>π</mi> <msup> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {4}{3}}\pi r^{3}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7112cb504e1399319cb9edbc622d1c4609fd56e3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:5.433ex; height:5.176ex;" alt="{\displaystyle {\frac {4}{3}}\pi r^{3}}"></span> </td> <td><i>r</i> = jari-jari bola<br />di mana merupakan <a href="/wiki/Integral" title="Integral">integral</a> <a href="/wiki/Luas_permukaan" title="Luas permukaan">luas permukaan</a> bola </td></tr> <tr> <td><a href="/w/index.php?title=Ellipsoid&action=edit&redlink=1" class="new" title="Ellipsoid (halaman belum tersedia)">Ellipsoid</a> </td> <td style="text-align:center"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\frac {4}{3}}\pi abc}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>4</mn> <mn>3</mn> </mfrac> </mrow> <mi>π</mi> <mi>a</mi> <mi>b</mi> <mi>c</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {4}{3}}\pi abc}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e6bab0d7b6f5d52c794e589223f04011463277e9" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:6.565ex; height:5.176ex;" alt="{\displaystyle {\frac {4}{3}}\pi abc}"></span> </td> <td><i>a</i>, <i>b</i>, <i>c</i> = semi-axes of ellipsoid </td></tr> <tr> <td><a href="/wiki/Tabung_(geometri)" title="Tabung (geometri)">Tabung</a> </td> <td style="text-align:center"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \pi r^{2}t\;}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>π</mi> <msup> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mi>t</mi> <mspace width="thickmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \pi r^{2}t\;}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8b950bbffae5c32b466137e509fddb82b8abe9e9" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:4.92ex; height:2.676ex;" alt="{\displaystyle \pi r^{2}t\;}"></span> </td> <td><i>r</i> = jari-jari alas, <i>t</i> = tinggi </td></tr> <tr> <td><a href="/wiki/Kerucut" title="Kerucut">Kerucut</a> </td> <td style="text-align:center"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\frac {1}{3}}\pi r^{2}t}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>3</mn> </mfrac> </mrow> <mi>π</mi> <msup> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mi>t</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {1}{3}}\pi r^{2}t}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8c7f0df7e7bf2e6388b2ba6f3239c4f110b9c0b3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:6.273ex; height:5.176ex;" alt="{\displaystyle {\frac {1}{3}}\pi r^{2}t}"></span> </td> <td><i>r</i> = jari-jari <a href="/wiki/Lingkaran" title="Lingkaran">lingkaran</a> di dasar kerucut, <i>t</i> = jarak dari dasar ke pucuk atau tinggi </td></tr> <tr> <td><a href="/wiki/Torus" title="Torus">Torus</a> </td> <td style="text-align:center"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle (\pi r^{2})(2\pi R)=2\pi ^{2}Rr^{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">(</mo> <mi>π</mi> <msup> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo stretchy="false">)</mo> <mo stretchy="false">(</mo> <mn>2</mn> <mi>π</mi> <mi>R</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mn>2</mn> <msup> <mi>π</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mi>R</mi> <msup> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle (\pi r^{2})(2\pi R)=2\pi ^{2}Rr^{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/73fc04dc08da6df57be7b4961db0d65c6ff434d6" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:21.828ex; height:3.176ex;" alt="{\displaystyle (\pi r^{2})(2\pi R)=2\pi ^{2}Rr^{2}}"></span> </td> <td><i>r</i> = jari-jari kecil, <i>R</i> = jari-jari besar </td></tr> <tr> <td>Volume benda putar<br />(dibutuhkan <a href="/wiki/Kalkulus_integral" class="mw-redirect" title="Kalkulus integral">kalkulus</a>) </td> <td style="text-align:center"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \int _{a}^{b}A(h)\,\mathrm {d} h}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msubsup> <mo>∫</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>b</mi> </mrow> </msubsup> <mi>A</mi> <mo stretchy="false">(</mo> <mi>h</mi> <mo stretchy="false">)</mo> <mspace width="thinmathspace" /> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">d</mi> </mrow> <mi>h</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \int _{a}^{b}A(h)\,\mathrm {d} h}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/bf389e165e67594607a07e96126d3b8d16da0067" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:11.699ex; height:6.343ex;" alt="{\displaystyle \int _{a}^{b}A(h)\,\mathrm {d} h}"></span> </td> <td><i>h</i> = dimensi apapun,<br /><i>A</i>(<i>h</i>) = luasan <i>cross-section</i> tegak lurus terhadap <i>h</i> yang didefinisikan sebagai fungsi posisi sepanjang <i>h</i>. <i>a</i> dan <i>b</i> adalah batas integrasi volume putar.<br />(Berlaku untuk semua bangun jika <i>cross-sectional area</i> nya dapat ditentukan dari h). </td></tr> <tr> <td>Semua benda diputar<br />(dibutuhkan <a href="/wiki/Kalkulus_integral" class="mw-redirect" title="Kalkulus integral">kalkulus</a>) </td> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \pi \int _{a}^{b}\left({\left[R_{O}(x)\right]}^{2}-{\left[R_{I}(x)\right]}^{2}\right)\mathrm {d} x}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>π</mi> <msubsup> <mo>∫</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>b</mi> </mrow> </msubsup> <mrow> <mo>(</mo> <mrow> <msup> <mrow class="MJX-TeXAtom-ORD"> <mrow> <mo>[</mo> <mrow> <msub> <mi>R</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>O</mi> </mrow> </msub> <mo stretchy="false">(</mo> <mi>x</mi> <mo stretchy="false">)</mo> </mrow> <mo>]</mo> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>−</mo> <msup> <mrow class="MJX-TeXAtom-ORD"> <mrow> <mo>[</mo> <mrow> <msub> <mi>R</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>I</mi> </mrow> </msub> <mo stretchy="false">(</mo> <mi>x</mi> <mo stretchy="false">)</mo> </mrow> <mo>]</mo> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mrow> <mo>)</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">d</mi> </mrow> <mi>x</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \pi \int _{a}^{b}\left({\left[R_{O}(x)\right]}^{2}-{\left[R_{I}(x)\right]}^{2}\right)\mathrm {d} x}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/15f622970c61715e48e9c33088619c89a4bd40e1" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:31.182ex; height:6.343ex;" alt="{\displaystyle \pi \int _{a}^{b}\left({\left[R_{O}(x)\right]}^{2}-{\left[R_{I}(x)\right]}^{2}\right)\mathrm {d} x}"></span> </td> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle R_{O}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>R</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>O</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle R_{O}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a131c871300f6551262a598d82b3847a8ead4e50" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.25ex; height:2.509ex;" alt="{\displaystyle R_{O}}"></span> dan <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle R_{I}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>R</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>I</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle R_{I}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3f9ea449880cf4ea2cad83bcdb8ecf27ded1b2b0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.825ex; height:2.509ex;" alt="{\displaystyle R_{I}}"></span> menyatakan fungsi dari jari-jari luar dan jari-jari dalam fungsi, secara berurutan. </td></tr></tbody></table> <div class="mw-heading mw-heading3"><h3 id="Rasio_volume_untuk_kerucut,_bola,_dan_tabung_dengan_tinggi_dan_jari-jari_sama"><span id="Rasio_volume_untuk_kerucut.2C_bola.2C_dan_tabung_dengan_tinggi_dan_jari-jari_sama"></span>Rasio volume untuk kerucut, bola, dan tabung dengan tinggi dan jari-jari sama</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Volume&veaction=edit&section=2" title="Sunting bagian: Rasio volume untuk kerucut, bola, dan tabung dengan tinggi dan jari-jari sama" class="mw-editsection-visualeditor"><span>sunting</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Volume&action=edit&section=2" title="Sunting kode sumber bagian: Rasio volume untuk kerucut, bola, dan tabung dengan tinggi dan jari-jari sama"><span>sunting sumber</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure typeof="mw:File/Thumb"><a href="/wiki/Berkas:Inscribed_cone_sphere_cylinder.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/1/12/Inscribed_cone_sphere_cylinder.svg/350px-Inscribed_cone_sphere_cylinder.svg.png" decoding="async" width="350" height="175" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/12/Inscribed_cone_sphere_cylinder.svg/525px-Inscribed_cone_sphere_cylinder.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/12/Inscribed_cone_sphere_cylinder.svg/700px-Inscribed_cone_sphere_cylinder.svg.png 2x" data-file-width="512" data-file-height="256" /></a><figcaption>Kerucut, bola, dan tabung dengan jari-jari <i>r</i> dan tinggi <i>h</i></figcaption></figure> <p>Rumus di atas dapat digunakan untuk menunjukkan bahwa volume kerucut, bola, dan tabung dengan jari-jari dan tinggi sama memiliki rasio <b>1 : 2 : 3</b>, seperti berikut ini. </p><p>Besar jari-jari dianggap <i>r</i> dan tinggi dianggap <i>h</i> (menjadi 2<i>r</i> untuk bola), maka volume kerucut </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {1}{3}}\pi r^{2}h={\tfrac {1}{3}}\pi r^{2}(2r)=({\tfrac {2}{3}}\pi r^{3})\times 1,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="false" scriptlevel="0"> <mfrac> <mn>1</mn> <mn>3</mn> </mfrac> </mstyle> </mrow> <mi>π</mi> <msup> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mi>h</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="false" scriptlevel="0"> <mfrac> <mn>1</mn> <mn>3</mn> </mfrac> </mstyle> </mrow> <mi>π</mi> <msup> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo stretchy="false">(</mo> <mn>2</mn> <mi>r</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="false" scriptlevel="0"> <mfrac> <mn>2</mn> <mn>3</mn> </mfrac> </mstyle> </mrow> <mi>π</mi> <msup> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> <mo stretchy="false">)</mo> <mo>×</mo> <mn>1</mn> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\tfrac {1}{3}}\pi r^{2}h={\tfrac {1}{3}}\pi r^{2}(2r)=({\tfrac {2}{3}}\pi r^{3})\times 1,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7b5742dff1ce9ca6806965984a1aac45d3addc63" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:33.294ex; height:3.676ex;" alt="{\displaystyle {\tfrac {1}{3}}\pi r^{2}h={\tfrac {1}{3}}\pi r^{2}(2r)=({\tfrac {2}{3}}\pi r^{3})\times 1,}"></span></dd></dl> <p>volume bola </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tfrac {4}{3}}\pi r^{3}=({\tfrac {2}{3}}\pi r^{3})\times 2,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="false" scriptlevel="0"> <mfrac> <mn>4</mn> <mn>3</mn> </mfrac> </mstyle> </mrow> <mi>π</mi> <msup> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> <mo>=</mo> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="false" scriptlevel="0"> <mfrac> <mn>2</mn> <mn>3</mn> </mfrac> </mstyle> </mrow> <mi>π</mi> <msup> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> <mo stretchy="false">)</mo> <mo>×</mo> <mn>2</mn> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\tfrac {4}{3}}\pi r^{3}=({\tfrac {2}{3}}\pi r^{3})\times 2,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/dc8faa61f68210ff1100995d088ad2627470787e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:19.743ex; height:3.676ex;" alt="{\displaystyle {\tfrac {4}{3}}\pi r^{3}=({\tfrac {2}{3}}\pi r^{3})\times 2,}"></span></dd></dl> <p>sedangkan volume tabung </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \pi r^{2}h=\pi r^{2}(2r)=({\tfrac {2}{3}}\pi r^{3})\times 3.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>π</mi> <msup> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mi>h</mi> <mo>=</mo> <mi>π</mi> <msup> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo stretchy="false">(</mo> <mn>2</mn> <mi>r</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="false" scriptlevel="0"> <mfrac> <mn>2</mn> <mn>3</mn> </mfrac> </mstyle> </mrow> <mi>π</mi> <msup> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> <mo stretchy="false">)</mo> <mo>×</mo> <mn>3.</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \pi r^{2}h=\pi r^{2}(2r)=({\tfrac {2}{3}}\pi r^{3})\times 3.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f886f17273fc2125800c8f2939265cdc86714ad3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:29.978ex; height:3.676ex;" alt="{\displaystyle \pi r^{2}h=\pi r^{2}(2r)=({\tfrac {2}{3}}\pi r^{3})\times 3.}"></span></dd></dl> <p>Penemuan rasio volume bola dan tabung <b>2 : 3</b> ditemukan oleh <a href="/wiki/Archimedes" title="Archimedes">Archimedes</a>.<sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Penentuan_rusuk,_sisi_dan_titik"><span id="Penentuan_rusuk.2C_sisi_dan_titik"></span>Penentuan rusuk, sisi dan titik</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Volume&veaction=edit&section=3" title="Sunting bagian: Penentuan rusuk, sisi dan titik" class="mw-editsection-visualeditor"><span>sunting</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Volume&action=edit&section=3" title="Sunting kode sumber bagian: Penentuan rusuk, sisi dan titik"><span>sunting sumber</span></a><span class="mw-editsection-bracket">]</span></span></div> <table class="wikitable"> <tbody><tr> <th>Bentuk</th> <th>Rusuk</th> <th>Sisi</th> <th>Titik </th></tr> <tr> <td>Kubus</td> <td>12</td> <td>6</td> <td>8 </td></tr> <tr> <td>Balok</td> <td>12</td> <td>6</td> <td>8 </td></tr> <tr> <td>Prisma segitiga</td> <td>9</td> <td>5</td> <td>6 </td></tr> <tr> <td>Limas segiempat</td> <td>8</td> <td>5</td> <td>5 </td></tr> <tr> <td>Tabung</td> <td>2</td> <td>3</td> <td>0 </td></tr> <tr> <td>Kerucut</td> <td>1</td> <td>2</td> <td>1 </td></tr> <tr> <td>Bola</td> <td>0</td> <td>1</td> <td>0 </td></tr> <tr> <td>Rumus</td> <td align="center" colspan="3"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle R+2=S+T}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>R</mi> <mo>+</mo> <mn>2</mn> <mo>=</mo> <mi>S</mi> <mo>+</mo> <mi>T</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle R+2=S+T}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1b63ccb42099b4120c4af1c133bd17deee2e008e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:14.841ex; height:2.343ex;" alt="{\displaystyle R+2=S+T}"></span> </td></tr></tbody></table> <div class="mw-heading mw-heading2"><h2 id="Volume_dalam_kalkulus">Volume dalam kalkulus</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Volume&veaction=edit&section=4" title="Sunting bagian: Volume dalam kalkulus" class="mw-editsection-visualeditor"><span>sunting</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Volume&action=edit&section=4" title="Sunting kode sumber bagian: Volume dalam kalkulus"><span>sunting sumber</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Pada <a href="/wiki/Kalkulus" title="Kalkulus">kalkulus</a>, volume dari sebuah region <i>D</i> dalam <b>R</b><sup>3</sup> adalah <a href="/w/index.php?title=Integral_rangkap&action=edit&redlink=1" class="new" title="Integral rangkap (halaman belum tersedia)">integral rangkap tiga</a> dari <a href="/wiki/Fungsi_(matematika)" title="Fungsi (matematika)">fungsi</a> konstanta <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle f(x,y,z)=1}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>f</mi> <mo stretchy="false">(</mo> <mi>x</mi> <mo>,</mo> <mi>y</mi> <mo>,</mo> <mi>z</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mn>1</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle f(x,y,z)=1}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f4c4ea840cd139e57682ad1838bf974a9f315d84" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:12.99ex; height:2.843ex;" alt="{\displaystyle f(x,y,z)=1}"></span> dan biasanya dituliskan sebagai: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \iiint \limits _{D}1\,dx\,dy\,dz.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <munder> <mo>∭</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>D</mi> </mrow> </munder> <mn>1</mn> <mspace width="thinmathspace" /> <mi>d</mi> <mi>x</mi> <mspace width="thinmathspace" /> <mi>d</mi> <mi>y</mi> <mspace width="thinmathspace" /> <mi>d</mi> <mi>z</mi> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \iiint \limits _{D}1\,dx\,dy\,dz.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a6a54ef4d87ac3931c1677b7e0c2b28ec76645f5" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -4.005ex; width:15.179ex; height:7.343ex;" alt="{\displaystyle \iiint \limits _{D}1\,dx\,dy\,dz.}"></span></dd></dl> <p>Integral volume pada <a href="/w/index.php?title=Koordinat_tabung&action=edit&redlink=1" class="new" title="Koordinat tabung (halaman belum tersedia)">koordinat tabung</a> adalah </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \iiint \limits _{D}r\,dr\,d\theta \,dz,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <munder> <mo>∭</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>D</mi> </mrow> </munder> <mi>r</mi> <mspace width="thinmathspace" /> <mi>d</mi> <mi>r</mi> <mspace width="thinmathspace" /> <mi>d</mi> <mi>θ</mi> <mspace width="thinmathspace" /> <mi>d</mi> <mi>z</mi> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \iiint \limits _{D}r\,dr\,d\theta \,dz,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1f4466553b35a4fa23a7a2db498a3af6da466673" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -4.005ex; width:14.719ex; height:7.343ex;" alt="{\displaystyle \iiint \limits _{D}r\,dr\,d\theta \,dz,}"></span></dd></dl> <p>dan integral volume dalam <a href="/w/index.php?title=Koordinat_bola&action=edit&redlink=1" class="new" title="Koordinat bola (halaman belum tersedia)">koordinat bola</a> dituliskan sebagai </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \iiint \limits _{D}\rho ^{2}\sin \phi \,d\rho \,d\theta \,d\phi .}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <munder> <mo>∭</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>D</mi> </mrow> </munder> <msup> <mi>ρ</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mi>sin</mi> <mo>⁡</mo> <mi>ϕ</mi> <mspace width="thinmathspace" /> <mi>d</mi> <mi>ρ</mi> <mspace width="thinmathspace" /> <mi>d</mi> <mi>θ</mi> <mspace width="thinmathspace" /> <mi>d</mi> <mi>ϕ</mi> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \iiint \limits _{D}\rho ^{2}\sin \phi \,d\rho \,d\theta \,d\phi .}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/13a09bf1abcf8a7c7e6a0fff69a96a6e880cf95b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -4.005ex; width:21.392ex; height:7.343ex;" alt="{\displaystyle \iiint \limits _{D}\rho ^{2}\sin \phi \,d\rho \,d\theta \,d\phi .}"></span></dd></dl> <div class="mw-heading mw-heading2"><h2 id="Satuan_volume">Satuan volume</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Volume&veaction=edit&section=5" title="Sunting bagian: Satuan volume" class="mw-editsection-visualeditor"><span>sunting</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Volume&action=edit&section=5" title="Sunting kode sumber bagian: Satuan volume"><span>sunting sumber</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Satuan <a href="/wiki/SI" class="mw-disambig" title="SI">SI</a> volume adalah m<sup>3</sup>. Satuan lain yang banyak dipakai adalah <a href="/wiki/Liter" title="Liter">liter</a> (=dm<sup>3</sup>) dan ml. </p> <ul><li>1 m<sup>3</sup> = 10<sup>3</sup> dm<sup>3</sup> = 10<sup>6</sup> cm<sup>3</sup></li> <li>1 dm<sup>3</sup> = 1 l</li> <li>1 cm<sup>3</sup> = 1 ml = 1 cc</li></ul> <div class="mw-heading mw-heading2"><h2 id="Volume_dalam_termodinamika">Volume dalam termodinamika</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Volume&veaction=edit&section=6" title="Sunting bagian: Volume dalam termodinamika" class="mw-editsection-visualeditor"><span>sunting</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Volume&action=edit&section=6" title="Sunting kode sumber bagian: Volume dalam termodinamika"><span>sunting sumber</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r18844875"><div role="note" class="hatnote navigation-not-searchable">Artikel utama: <a href="/wiki/Volume_(termodinamika)" title="Volume (termodinamika)">Volume (termodinamika)</a></div> <p>Dalam <a href="/wiki/Termodinamika" title="Termodinamika">termodinamika</a>, <b>volume</b> dari sebuah <a href="/wiki/Sistem_termodinamika" title="Sistem termodinamika">sistem termodinamika</a> adalah suatu <a href="/wiki/Parameter_ekstensif" class="mw-redirect" title="Parameter ekstensif">parameter ekstensif</a> untuk menjelaskan <a href="/w/index.php?title=Keadaan_termodinamika&action=edit&redlink=1" class="new" title="Keadaan termodinamika (halaman belum tersedia)">keadaan termodinamika</a>. <b>Volume spesifik</b>, adalah <a href="/wiki/Properti_intensif" class="mw-redirect" title="Properti intensif">properti intensif</a>, adalah volume per satuan <a href="/wiki/Massa" title="Massa">massa</a>. Volume merupakan <a href="/w/index.php?title=Fungsi_keadaan&action=edit&redlink=1" class="new" title="Fungsi keadaan (halaman belum tersedia)">fungsi keadaan</a> dan interdependen dengan properti termodinamika lainnya seperti <a href="/wiki/Tekanan" title="Tekanan">tekanan</a> dan <a href="/wiki/Suhu_termodinamika" title="Suhu termodinamika">suhu</a>. Contohnya, volume berhubungan tekanan dan suhu <a href="/wiki/Gas_ideal" title="Gas ideal">gas ideal</a> melalui <a href="/wiki/Hukum_gas_ideal" class="mw-redirect" title="Hukum gas ideal">hukum gas ideal</a>. </p> <div class="mw-heading mw-heading2"><h2 id="Referensi">Referensi</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Volume&veaction=edit&section=7" title="Sunting bagian: Referensi" class="mw-editsection-visualeditor"><span>sunting</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Volume&action=edit&section=7" title="Sunting kode sumber bagian: Referensi"><span>sunting sumber</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r18833634">.mw-parser-output .reflist{font-size:90%;margin-bottom:0.5em;list-style-type:decimal}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output .reflist-lower-alpha{list-style-type:lower-alpha}.mw-parser-output .reflist-lower-greek{list-style-type:lower-greek}.mw-parser-output .reflist-lower-roman{list-style-type:lower-roman}</style><div class="reflist"> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-Cox-1"><span class="mw-cite-backlink"><b><a href="#cite_ref-Cox_1-0">^</a></b></span> <span class="reference-text"><a href="/w/index.php?title=H._S._M._Coxeter&action=edit&redlink=1" class="new" title="H. S. M. Coxeter (halaman belum tersedia)">Coxeter, H. S. M.</a>: <i><a href="/w/index.php?title=Regular_Polytopes_(book)&action=edit&redlink=1" class="new" title="Regular Polytopes (book) (halaman belum tersedia)">Regular Polytopes</a></i> (Methuen and Co., 1948). Table I(i).</span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><b><a href="#cite_ref-2">^</a></b></span> <span class="reference-text"><cite class="citation web">Rorres, Chris. <a rel="nofollow" class="external text" href="https://web.archive.org/web/20061209201723/http://www.math.nyu.edu/~crorres/Archimedes/Tomb/Cicero.html">"Tomb of Archimedes: Sources"</a>. Courant Institute of Mathematical Sciences. Diarsipkan dari <a rel="nofollow" class="external text" href="http://www.math.nyu.edu/~crorres/Archimedes/Tomb/Cicero.html">versi asli</a> tanggal 2004-09-08<span class="reference-accessdate">. Diakses tanggal <span class="nowrap">2007-01-02</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=Tomb+of+Archimedes%3A+Sources&rft.pub=Courant+Institute+of+Mathematical+Sciences&rft.aulast=Rorres&rft.aufirst=Chris&rft_id=http%3A%2F%2Fwww.math.nyu.edu%2F~crorres%2FArchimedes%2FTomb%2FCicero.html&rfr_id=info%3Asid%2Fid.wikipedia.org%3AVolume" class="Z3988"><span style="display:none;"> </span></span></span> </li> </ol></div></div> <div class="navbox-styles"><style data-mw-deduplicate="TemplateStyles:r23782733">.mw-parser-output .hlist dl,.mw-parser-output .hlist ol,.mw-parser-output .hlist ul{margin:0;padding:0}.mw-parser-output .hlist dd,.mw-parser-output .hlist dt,.mw-parser-output .hlist li{margin:0;display:inline}.mw-parser-output .hlist.inline,.mw-parser-output .hlist.inline dl,.mw-parser-output .hlist.inline ol,.mw-parser-output .hlist.inline ul,.mw-parser-output .hlist dl dl,.mw-parser-output .hlist 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href="/wiki/Bangun_(geometri)" title="Bangun (geometri)">Bangun geometri</a></div></th></tr><tr><th scope="row" class="navbox-group" style="width:1%">Elemen geometri menurut dimensi</th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"><a href="/wiki/Titik_(geometri)" title="Titik (geometri)">Titik (0D)</a> <span style="font-weight:bold;"> ·</span>  <a href="/wiki/Garis_(geometri)" title="Garis (geometri)">Garis (1D)</a> <span style="font-weight:bold;"> ·</span>  <a href="/wiki/Bidang_(geometri)" title="Bidang (geometri)">Bidang (2D)</a> <span style="font-weight:bold;"> ·</span>  <a href="/wiki/Ruang_(geometri)" class="mw-redirect" title="Ruang (geometri)">Ruang (3D)</a></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Besaran geometri menurut dimensi</th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"><a href="/wiki/Panjang" title="Panjang">Panjang (1D)</a> <span style="font-weight:bold;"> ·</span>  <a href="/wiki/Luas" title="Luas">Luas (area) (2D)</a> <span style="font-weight:bold;"> ·</span>  <a class="mw-selflink selflink">Volume (3D)</a></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Istilah dasar lain</th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"><a href="/wiki/Jari-jari" title="Jari-jari">Radius (jari-jari)</a> <span style="font-weight:bold;"> ·</span>  <a href="/wiki/Sisi_(geometri)" title="Sisi (geometri)">Sisi (segi)</a> <span style="font-weight:bold;"> ·</span>  <a href="/wiki/Sudut_(geometri)" title="Sudut (geometri)">Sudut</a></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Bangun 2 dimensi</th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"><a href="/wiki/Belah_ketupat" title="Belah ketupat">Belah ketupat</a> <span style="font-weight:bold;"> ·</span>  <a href="/wiki/Elips" title="Elips">Elips</a> <span style="font-weight:bold;"> ·</span>  <a href="/wiki/Jajar_genjang" title="Jajar genjang">Jajar genjang</a> <span style="font-weight:bold;"> ·</span>  <a href="/wiki/Layang-layang_(geometri)" title="Layang-layang (geometri)">Layang-layang</a> <span style="font-weight:bold;"> ·</span>  <a href="/wiki/Lingkaran" title="Lingkaran">Lingkaran</a> <span style="font-weight:bold;"> ·</span>  <a href="/wiki/Persegi" title="Persegi">Persegi</a> <span style="font-weight:bold;"> ·</span>  <a href="/wiki/Persegi_panjang" title="Persegi panjang">Persegi panjang</a> <span style="font-weight:bold;"> ·</span>  <a href="/wiki/Poligon" title="Poligon">Poligon (segi-n)</a> <span style="font-weight:bold;"> ·</span>  <a href="/wiki/Segi_empat" title="Segi empat">Segi empat</a> <span style="font-weight:bold;"> ·</span>  <a href="/wiki/Segitiga" title="Segitiga">Segitiga</a> <span style="font-weight:bold;"> ·</span>  <a href="/wiki/Trapesium_(geometri)" title="Trapesium (geometri)">Trapesium</a></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Bangun 3 dimensi</th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"><a href="/wiki/Balok" title="Balok">Balok</a> <span style="font-weight:bold;"> ·</span>  <a href="/wiki/Bola_(geometri)" title="Bola (geometri)">Bola</a> <span style="font-weight:bold;"> ·</span>  <a href="/wiki/Kerucut" title="Kerucut">Kerucut</a> <span style="font-weight:bold;"> ·</span>  <a href="/wiki/Kubus" title="Kubus">Kubus</a> <span style="font-weight:bold;"> ·</span>  <a href="/wiki/Limas" title="Limas">Limas</a> <span style="font-weight:bold;"> ·</span>  <a href="/wiki/Polihedron" title="Polihedron">Polihedron (bidang-n)</a> <span style="font-weight:bold;"> ·</span>  <a href="/wiki/Prisma_(geometri)" 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