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style="width: 7.5em; height: 1.75em;"> <img class="mw-logo-tagline" alt="" src="/static/images/mobile/copyright/wikipedia-tagline-hi.svg" width="108" height="18" style="width: 6.75em; height: 1.125em;"> </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/%E0%A4%B5%E0%A4%BF%E0%A4%B6%E0%A5%87%E0%A4%B7:%E0%A4%96%E0%A5%8B%E0%A4%9C" class="cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only search-toggle" title="इस विकि में खोजें [f]" accesskey="f"><span class="vector-icon mw-ui-icon-search mw-ui-icon-wikimedia-search"></span> <span>खोजें</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="विकिपीडिया में खोजें" aria-label="विकिपीडिया में खोजें" autocapitalize="sentences" title="इस विकि में खोजें [f]" accesskey="f" id="searchInput" > <span class="cdx-text-input__icon cdx-text-input__start-icon"></span> </div> <input type="hidden" name="title" value="विशेष:खोज"> </div> <button class="cdx-button cdx-search-input__end-button">खोजें</button> </form> </div> </div> </div> <nav class="vector-user-links vector-user-links-wide" aria-label="व्यक्तिगत उपकरण"> <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="दिखावट"> <div id="vector-appearance-dropdown" class="vector-dropdown " title="पृष्ठ के फ़ॉन्ट का आकार, चौड़ाई और रंग बदलें" > <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="दिखावट" > <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">दिखावट</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="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&utm_medium=sidebar&utm_campaign=C13_hi.wikipedia.org&uselang=hi" class=""><span>दान करें</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=%E0%A4%B5%E0%A4%BF%E0%A4%B6%E0%A5%87%E0%A4%B7:%E0%A4%96%E0%A4%BE%E0%A4%A4%E0%A4%BE_%E0%A4%AC%E0%A4%A8%E0%A4%BE%E0%A4%8F%E0%A4%81&returnto=%E0%A4%86%E0%A4%AF%E0%A4%A4%E0%A4%A8" title="हमारा सुझाव है की आप खाता बनाएँ और लॉगिन करें, परन्तु यह अनिवार्य नहीं है" class=""><span>खाता बनाएँ</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=%E0%A4%B5%E0%A4%BF%E0%A4%B6%E0%A5%87%E0%A4%B7:%E0%A4%B2%E0%A5%89%E0%A4%97%E0%A4%BF%E0%A4%A8&returnto=%E0%A4%86%E0%A4%AF%E0%A4%A4%E0%A4%A8" title="आपको सत्रारम्भ करने के लिए प्रोत्साहित किया जाता है; लेकिन यह अनिवार्य नहीं है [o]" accesskey="o" class=""><span>लॉग-इन करें</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="अन्य विकल्प" > <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="व्यक्तिगत उपकरण" > <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">व्यक्तिगत उपकरण</span> </label> <div class="vector-dropdown-content"> <div id="p-personal" class="vector-menu mw-portlet mw-portlet-personal user-links-collapsible-item" title="User menu" > <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="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&utm_medium=sidebar&utm_campaign=C13_hi.wikipedia.org&uselang=hi"><span>दान करें</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=%E0%A4%B5%E0%A4%BF%E0%A4%B6%E0%A5%87%E0%A4%B7:%E0%A4%96%E0%A4%BE%E0%A4%A4%E0%A4%BE_%E0%A4%AC%E0%A4%A8%E0%A4%BE%E0%A4%8F%E0%A4%81&returnto=%E0%A4%86%E0%A4%AF%E0%A4%A4%E0%A4%A8" title="हमारा सुझाव है की आप खाता बनाएँ और लॉगिन करें, परन्तु यह अनिवार्य नहीं है"><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>खाता बनाएँ</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=%E0%A4%B5%E0%A4%BF%E0%A4%B6%E0%A5%87%E0%A4%B7:%E0%A4%B2%E0%A5%89%E0%A4%97%E0%A4%BF%E0%A4%A8&returnto=%E0%A4%86%E0%A4%AF%E0%A4%A4%E0%A4%A8" title="आपको सत्रारम्भ करने के लिए प्रोत्साहित किया जाता है; लेकिन यह अनिवार्य नहीं है [o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>लॉग-इन करें</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"> लॉग-आउट किए गए संपादकों के लिए पृष्ठ <a href="/wiki/%E0%A4%B8%E0%A4%B9%E0%A4%BE%E0%A4%AF%E0%A4%A4%E0%A4%BE:%E0%A4%AA%E0%A4%B0%E0%A4%BF%E0%A4%9A%E0%A4%AF" aria-label="संपादन के बारे में अधिक जानें"><span>अधिक जानें</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/%E0%A4%B5%E0%A4%BF%E0%A4%B6%E0%A5%87%E0%A4%B7:%E0%A4%AE%E0%A5%87%E0%A4%B0%E0%A5%87_%E0%A4%AF%E0%A5%8B%E0%A4%97%E0%A4%A6%E0%A4%BE%E0%A4%A8" title="इस आईपी पते से संपादन की सूची [y]" accesskey="y"><span>योगदान</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/%E0%A4%B5%E0%A4%BF%E0%A4%B6%E0%A5%87%E0%A4%B7:%E0%A4%AE%E0%A5%87%E0%A4%B0%E0%A5%80_%E0%A4%B5%E0%A4%BE%E0%A4%B0%E0%A5%8D%E0%A4%A4%E0%A4%BE" title="इस आईपी एड्रेससे हुए बदलावों के बारे में वार्ता [n]" accesskey="n"><span>वार्ता</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="साइट"> <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="सामग्री" 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">सामग्री</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">साइडबार पर जाएँ</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">छुपाएँ</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">शुरुआत</div> </a> </li> <li id="toc-आयतन_के_सूत्र" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#आयतन_के_सूत्र"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>आयतन के सूत्र</span> </div> </a> <button aria-controls="toc-आयतन_के_सूत्र-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>आयतन के सूत्र उप-अनुभाग को टॉगल करें</span> </button> <ul id="toc-आयतन_के_सूत्र-sublist" class="vector-toc-list"> <li id="toc-किसी_घनाभ_के_आयतन_के_लिये_सदिश_(वेक्टर)_सूत्र_:" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#किसी_घनाभ_के_आयतन_के_लिये_सदिश_(वेक्टर)_सूत्र_:"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.1</span> <span>किसी घनाभ के आयतन के लिये सदिश (वेक्टर) सूत्र :</span> </div> </a> <ul id="toc-किसी_घनाभ_के_आयतन_के_लिये_सदिश_(वेक्टर)_सूत्र_:-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-किसी_चतुष्फलकी_(tetrahedron)_के_आयतन_के_लिये_सदिश_सूत्र_:" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#किसी_चतुष्फलकी_(tetrahedron)_के_आयतन_के_लिये_सदिश_सूत्र_:"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.2</span> <span>किसी चतुष्फलकी (tetrahedron) के आयतन के लिये सदिश सूत्र :</span> </div> </a> <ul id="toc-किसी_चतुष्फलकी_(tetrahedron)_के_आयतन_के_लिये_सदिश_सूत्र_:-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-आयतन_और_घनत्व_(density)" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#आयतन_और_घनत्व_(density)"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>आयतन और घनत्व (density)</span> </div> </a> <ul id="toc-आयतन_और_घनत्व_(density)-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-इन्हें_भी_देखें" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#इन्हें_भी_देखें"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>इन्हें भी देखें</span> </div> </a> <ul id="toc-इन्हें_भी_देखें-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-बाहरी_कड़ियाँ" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#बाहरी_कड़ियाँ"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>बाहरी कड़ियाँ</span> </div> </a> <ul id="toc-बाहरी_कड़ियाँ-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="सामग्री" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <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="विषयसूची को टॉगल करें" > <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">विषयसूची को टॉगल करें</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">आयतन</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="दूसरे भाषा में लेख पर जाएँ। 118 भाषाओं में उपलब्ध" > <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-118" 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">118 भाषाएँ</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 – अफ़्रीकी" lang="af" hreflang="af" data-title="Volume" data-language-autonym="Afrikaans" data-language-local-name="अफ़्रीकी" 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 – अंगिका" lang="anp" hreflang="anp" data-title="आयतन" data-language-autonym="अंगिका" data-language-local-name="अंगिका" 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 – अरबी" lang="ar" hreflang="ar" data-title="حجم" data-language-autonym="العربية" data-language-local-name="अरबी" 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 – Moroccan Arabic" lang="ary" hreflang="ary" data-title="قد" data-language-autonym="الدارجة" data-language-local-name="Moroccan Arabic" 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 – अस्तुरियन" lang="ast" hreflang="ast" data-title="Volume" data-language-autonym="Asturianu" data-language-local-name="अस्तुरियन" 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 – अज़रबैजानी" lang="az" hreflang="az" data-title="Həcm" data-language-autonym="Azərbaycanca" data-language-local-name="अज़रबैजानी" 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 – बशख़िर" lang="ba" hreflang="ba" data-title="Күләм" data-language-autonym="Башҡортса" data-language-local-name="बशख़िर" 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 – बेलारूसी" lang="be" hreflang="be" data-title="Аб’ём" data-language-autonym="Беларуская" data-language-local-name="बेलारूसी" 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 – बुल्गारियाई" lang="bg" hreflang="bg" data-title="Обем" data-language-autonym="Български" data-language-local-name="बुल्गारियाई" 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 – बंगाली" lang="bn" hreflang="bn" data-title="আয়তন" data-language-autonym="বাংলা" data-language-local-name="बंगाली" 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 – ब्रेटन" lang="br" hreflang="br" data-title="Volum" data-language-autonym="Brezhoneg" data-language-local-name="ब्रेटन" 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 – बोस्नियाई" lang="bs" hreflang="bs" data-title="Zapremina" data-language-autonym="Bosanski" data-language-local-name="बोस्नियाई" 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 – कातालान" lang="ca" hreflang="ca" data-title="Volum" data-language-autonym="Català" data-language-local-name="कातालान" 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 – सोरानी कुर्दिश" lang="ckb" hreflang="ckb" data-title="قەبارە" data-language-autonym="کوردی" data-language-local-name="सोरानी कुर्दिश" 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 – चेक" lang="cs" hreflang="cs" data-title="Objem" data-language-autonym="Čeština" data-language-local-name="चेक" 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 – चूवाश" lang="cv" hreflang="cv" data-title="Калăпăш" data-language-autonym="Чӑвашла" data-language-local-name="चूवाश" 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 – वेल्श" lang="cy" hreflang="cy" data-title="Cyfaint" data-language-autonym="Cymraeg" data-language-local-name="वेल्श" 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 – डेनिश" lang="da" hreflang="da" data-title="Rumfang" data-language-autonym="Dansk" data-language-local-name="डेनिश" 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 – जर्मन" lang="de" hreflang="de" data-title="Volumen" data-language-autonym="Deutsch" data-language-local-name="जर्मन" 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 – यूनानी" lang="el" hreflang="el" data-title="Όγκος" data-language-autonym="Ελληνικά" data-language-local-name="यूनानी" 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 – अंग्रेज़ी" lang="en" hreflang="en" data-title="Volume" data-language-autonym="English" data-language-local-name="अंग्रेज़ी" 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 – एस्पेरेंतो" lang="eo" hreflang="eo" data-title="Volumeno" data-language-autonym="Esperanto" data-language-local-name="एस्पेरेंतो" 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 – स्पेनिश" lang="es" hreflang="es" data-title="Volumen" data-language-autonym="Español" data-language-local-name="स्पेनिश" 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 – एस्टोनियाई" lang="et" hreflang="et" data-title="Ruumala" data-language-autonym="Eesti" data-language-local-name="एस्टोनियाई" 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) – बास्क" lang="eu" hreflang="eu" data-title="Bolumen (espazioa)" data-language-autonym="Euskara" data-language-local-name="बास्क" 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 – फ़ारसी" lang="fa" hreflang="fa" data-title="حجم" data-language-autonym="فارسی" data-language-local-name="फ़ारसी" 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 – फ़िनिश" lang="fi" hreflang="fi" data-title="Tilavuus" data-language-autonym="Suomi" data-language-local-name="फ़िनिश" 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 – फ़्रेंच" lang="fr" hreflang="fr" data-title="Volume" data-language-autonym="Français" data-language-local-name="फ़्रेंच" 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) – उत्तरी फ़्रीसियाई" lang="frr" hreflang="frr" data-title="Rüm (Miat)" data-language-autonym="Nordfriisk" data-language-local-name="उत्तरी फ़्रीसियाई" 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 – आयरिश" lang="ga" hreflang="ga" data-title="Toirt" data-language-autonym="Gaeilge" data-language-local-name="आयरिश" 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) – गैलिशियन" lang="gl" hreflang="gl" data-title="Volume (magnitude)" data-language-autonym="Galego" data-language-local-name="गैलिशियन" 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 – हिब्रू" lang="he" hreflang="he" data-title="נפח" data-language-autonym="עברית" data-language-local-name="हिब्रू" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hif mw-list-item"><a href="https://hif.wikipedia.org/wiki/Pasaar" title="Pasaar – Fiji Hindi" lang="hif" hreflang="hif" data-title="Pasaar" data-language-autonym="Fiji Hindi" data-language-local-name="Fiji Hindi" 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 – क्रोएशियाई" lang="hr" hreflang="hr" data-title="Obujam" data-language-autonym="Hrvatski" data-language-local-name="क्रोएशियाई" 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 – हैतियाई" lang="ht" hreflang="ht" data-title="Volim" data-language-autonym="Kreyòl ayisyen" data-language-local-name="हैतियाई" 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 – हंगेरियाई" lang="hu" hreflang="hu" data-title="Térfogat" data-language-autonym="Magyar" data-language-local-name="हंगेरियाई" 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 – आर्मेनियाई" lang="hy" hreflang="hy" data-title="Ծավալ" data-language-autonym="Հայերեն" data-language-local-name="आर्मेनियाई" 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 – इंटरलिंगुआ" lang="ia" hreflang="ia" data-title="Volumine" data-language-autonym="Interlingua" data-language-local-name="इंटरलिंगुआ" class="interlanguage-link-target"><span>Interlingua</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Volume" title="Volume – इंडोनेशियाई" lang="id" hreflang="id" data-title="Volume" data-language-autonym="Bahasa Indonesia" data-language-local-name="इंडोनेशियाई" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-io mw-list-item"><a href="https://io.wikipedia.org/wiki/Volumino" title="Volumino – इडौ" lang="io" hreflang="io" data-title="Volumino" data-language-autonym="Ido" data-language-local-name="इडौ" 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 – आइसलैंडिक" lang="is" hreflang="is" data-title="Rúmmál" data-language-autonym="Íslenska" data-language-local-name="आइसलैंडिक" 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 – इतालवी" lang="it" hreflang="it" data-title="Volume" data-language-autonym="Italiano" data-language-local-name="इतालवी" 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 – जापानी" lang="ja" hreflang="ja" data-title="体積" data-language-autonym="日本語" data-language-local-name="जापानी" 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 – जावानीज़" lang="jv" hreflang="jv" data-title="Volume" data-language-autonym="Jawa" data-language-local-name="जावानीज़" 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 – जॉर्जियाई" lang="ka" hreflang="ka" data-title="მოცულობა" data-language-autonym="ქართული" data-language-local-name="जॉर्जियाई" 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 – कबाइल" lang="kab" hreflang="kab" data-title="Ableɣ" data-language-autonym="Taqbaylit" data-language-local-name="कबाइल" 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 – कज़ाख़" lang="kk" hreflang="kk" data-title="Көлем" data-language-autonym="Қазақша" data-language-local-name="कज़ाख़" 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 – कोरियाई" lang="ko" hreflang="ko" data-title="부피" data-language-autonym="한국어" data-language-local-name="कोरियाई" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-ku mw-list-item"><a href="https://ku.wikipedia.org/wiki/Qeware" title="Qeware – कुर्दिश" lang="ku" hreflang="ku" data-title="Qeware" data-language-autonym="Kurdî" data-language-local-name="कुर्दिश" 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 – किर्गीज़" lang="ky" hreflang="ky" data-title="Көлөм" data-language-autonym="Кыргызча" data-language-local-name="किर्गीज़" 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 – लैटिन" lang="la" hreflang="la" data-title="Capacitas et volumen" data-language-autonym="Latina" data-language-local-name="लैटिन" 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 – लग्ज़मबर्गी" lang="lb" hreflang="lb" data-title="Volumen" data-language-autonym="Lëtzebuergesch" data-language-local-name="लग्ज़मबर्गी" 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 – लिगुरियन" lang="lij" hreflang="lij" data-title="Volùmme" data-language-autonym="Ligure" data-language-local-name="लिगुरियन" 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 – लिथुआनियाई" lang="lt" hreflang="lt" data-title="Tūris" data-language-autonym="Lietuvių" data-language-local-name="लिथुआनियाई" 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 – लातवियाई" lang="lv" hreflang="lv" data-title="Tilpums" data-language-autonym="Latviešu" data-language-local-name="लातवियाई" 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 – मालागासी" lang="mg" hreflang="mg" data-title="Hadiry" data-language-autonym="Malagasy" data-language-local-name="मालागासी" 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 – मकदूनियाई" lang="mk" hreflang="mk" data-title="Зафатнина" data-language-autonym="Македонски" data-language-local-name="मकदूनियाई" 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 – मलयालम" lang="ml" hreflang="ml" data-title="വ്യാപ്തം" data-language-autonym="മലയാളം" data-language-local-name="मलयालम" 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 – मंगोलियाई" lang="mn" hreflang="mn" data-title="Эзлэхүүн" data-language-autonym="Монгол" data-language-local-name="मंगोलियाई" 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 – मराठी" lang="mr" hreflang="mr" data-title="आकारमान" data-language-autonym="मराठी" data-language-local-name="मराठी" 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 – मलय" lang="ms" hreflang="ms" data-title="Isi padu" data-language-autonym="Bahasa Melayu" data-language-local-name="मलय" 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 – बर्मीज़" lang="my" hreflang="my" data-title="ထုထည်" data-language-autonym="မြန်မာဘာသာ" data-language-local-name="बर्मीज़" 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 – नेपाली" lang="ne" hreflang="ne" data-title="आयतन" data-language-autonym="नेपाली" data-language-local-name="नेपाली" 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) – डच" lang="nl" hreflang="nl" data-title="Inhoud (volume)" data-language-autonym="Nederlands" data-language-local-name="डच" 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 – नॉर्वेजियाई नॉयनॉर्स्क" lang="nn" hreflang="nn" data-title="Volum" data-language-autonym="Norsk nynorsk" data-language-local-name="नॉर्वेजियाई नॉयनॉर्स्क" 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 – नॉर्वेजियाई बोकमाल" lang="nb" hreflang="nb" data-title="Volum" data-language-autonym="Norsk bokmål" data-language-local-name="नॉर्वेजियाई बोकमाल" 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 – ओसीटान" lang="oc" hreflang="oc" data-title="Volum" data-language-autonym="Occitan" data-language-local-name="ओसीटान" 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 – ओरोमो" lang="om" hreflang="om" data-title="Qabee" data-language-autonym="Oromoo" data-language-local-name="ओरोमो" 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 – पंजाबी" lang="pa" hreflang="pa" data-title="ਆਇਤਨ" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="पंजाबी" 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 – पोलिश" lang="pl" hreflang="pl" data-title="Objętość" data-language-autonym="Polski" data-language-local-name="पोलिश" 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 – पुर्तगाली" lang="pt" hreflang="pt" data-title="Volume" data-language-autonym="Português" data-language-local-name="पुर्तगाली" 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 – क्वेचुआ" lang="qu" hreflang="qu" data-title="P'ulin" data-language-autonym="Runa Simi" data-language-local-name="क्वेचुआ" 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) – रोमानियाई" lang="ro" hreflang="ro" data-title="Volum (geometrie)" data-language-autonym="Română" data-language-local-name="रोमानियाई" 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 – रूसी" lang="ru" hreflang="ru" data-title="Объём" data-language-autonym="Русский" data-language-local-name="रूसी" 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 – संस्कृत" lang="sa" hreflang="sa" data-title="आयतनम्" data-language-autonym="संस्कृतम्" data-language-local-name="संस्कृत" 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 – सिसिलियन" lang="scn" hreflang="scn" data-title="Vulumi" data-language-autonym="Sicilianu" data-language-local-name="सिसिलियन" 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 – स्कॉट्स" lang="sco" hreflang="sco" data-title="Vollum" data-language-autonym="Scots" data-language-local-name="स्कॉट्स" 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 – सिंधी" lang="sd" hreflang="sd" data-title="حجم" data-language-autonym="سنڌي" data-language-local-name="सिंधी" 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 – सेर्बो-क्रोएशियाई" lang="sh" hreflang="sh" data-title="Volumen" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="सेर्बो-क्रोएशियाई" 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) – स्लोवाक" lang="sk" hreflang="sk" data-title="Objem (matematika)" data-language-autonym="Slovenčina" data-language-local-name="स्लोवाक" 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 – स्लोवेनियाई" lang="sl" hreflang="sl" data-title="Prostornina" data-language-autonym="Slovenščina" data-language-local-name="स्लोवेनियाई" 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 – शोणा" lang="sn" hreflang="sn" data-title="Mumhu" data-language-autonym="ChiShona" data-language-local-name="शोणा" 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 – सोमाली" lang="so" hreflang="so" data-title="Mug" data-language-autonym="Soomaaliga" data-language-local-name="सोमाली" 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 – अल्बानियाई" lang="sq" hreflang="sq" data-title="Vëllimi" data-language-autonym="Shqip" data-language-local-name="अल्बानियाई" 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 – सर्बियाई" lang="sr" hreflang="sr" data-title="Запремина" data-language-autonym="Српски / srpski" data-language-local-name="सर्बियाई" 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 – स्वीडिश" lang="sv" hreflang="sv" data-title="Volym" data-language-autonym="Svenska" data-language-local-name="स्वीडिश" 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 – स्वाहिली" lang="sw" hreflang="sw" data-title="Mjao" data-language-autonym="Kiswahili" data-language-local-name="स्वाहिली" 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 – Silesian" lang="szl" hreflang="szl" data-title="Uobjyntość" data-language-autonym="Ślůnski" data-language-local-name="Silesian" 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 – तमिल" lang="ta" hreflang="ta" data-title="கன அளவு" data-language-autonym="தமிழ்" data-language-local-name="तमिल" 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 – तेलुगू" lang="te" hreflang="te" data-title="ఘనపరిమాణము" data-language-autonym="తెలుగు" data-language-local-name="तेलुगू" 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 – ताजिक" lang="tg" hreflang="tg" data-title="Ҳаҷм" data-language-autonym="Тоҷикӣ" data-language-local-name="ताजिक" 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 – थाई" lang="th" hreflang="th" data-title="ปริมาตร" data-language-autonym="ไทย" data-language-local-name="थाई" 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 – तुर्कमेन" lang="tk" hreflang="tk" data-title="Göwrüm birlikleri" data-language-autonym="Türkmençe" data-language-local-name="तुर्कमेन" 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 – टैगलॉग" lang="tl" hreflang="tl" data-title="Volyum" data-language-autonym="Tagalog" data-language-local-name="टैगलॉग" 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 – तुर्की" lang="tr" hreflang="tr" data-title="Hacim" data-language-autonym="Türkçe" data-language-local-name="तुर्की" 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 – यूक्रेनियाई" lang="uk" hreflang="uk" data-title="Об'єм" data-language-autonym="Українська" data-language-local-name="यूक्रेनियाई" 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 – उर्दू" lang="ur" hreflang="ur" data-title="حجم" data-language-autonym="اردو" data-language-local-name="उर्दू" 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 – उज़्बेक" lang="uz" hreflang="uz" data-title="Hajm" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="उज़्बेक" 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 – Venetian" lang="vec" hreflang="vec" data-title="Vołume" data-language-autonym="Vèneto" data-language-local-name="Venetian" 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 – वियतनामी" lang="vi" hreflang="vi" data-title="Thể tích" data-language-autonym="Tiếng Việt" data-language-local-name="वियतनामी" 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 – वारै" lang="war" hreflang="war" data-title="Bolyum" data-language-autonym="Winaray" data-language-local-name="वारै" 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 – वू चीनी" lang="wuu" hreflang="wuu" data-title="体积" data-language-autonym="吴语" data-language-local-name="वू चीनी" 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 – चीनी" lang="zh" hreflang="zh" data-title="体积" data-language-autonym="中文" data-language-local-name="चीनी" 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 – मिन नान" lang="nan" hreflang="nan" data-title="Thé-chek" data-language-autonym="閩南語 / Bân-lâm-gú" data-language-local-name="मिन नान" class="interlanguage-link-target"><span>閩南語 / 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class="mw-list-item"><a href="/w/index.php?title=%E0%A4%B5%E0%A4%BF%E0%A4%B6%E0%A5%87%E0%A4%B7:DownloadAsPdf&page=%E0%A4%86%E0%A4%AF%E0%A4%A4%E0%A4%A8&action=show-download-screen"><span>पीडीएफ़ रूप डाउनलोड करें</span></a></li><li id="t-print" class="mw-list-item"><a href="/w/index.php?title=%E0%A4%86%E0%A4%AF%E0%A4%A4%E0%A4%A8&printable=yes" title="इस पृष्ठका छपानेलायक अवतरण [p]" accesskey="p"><span>प्रिन्ट करने लायक</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"> दूसरे परियोजनाओं में </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>विकिमीडिया कॉमन्स</span></a></li><li id="t-wikibase" class="wb-otherproject-link wb-otherproject-wikibase-dataitem mw-list-item"><a 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> <div class="vector-pinnable-header-label">दिखावट</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">साइडबार पर जाएँ</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">छुपाएँ</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">मुक्त ज्ञानकोश विकिपीडिया से</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="hi" dir="ltr"><table class="vertical-navbox nowraplinks" style="float:right;clear:right;width:22.0em;margin:0 0 1.0em 1.0em;background:#f9f9f9;border:1px solid #aaa;padding:0.2em;border-spacing:0.4em 0;text-align:center;line-height:1.4em;font-size:88%"><tbody><tr><th style="padding:0.2em 0.4em 0.2em;font-size:145%;line-height:1.2em"><a href="/wiki/%E0%A4%9C%E0%A5%8D%E0%A4%AF%E0%A4%BE%E0%A4%AE%E0%A4%BF%E0%A4%A4%E0%A4%BF" title="ज्यामिति">ज्यामिति</a></th></tr><tr><td style="padding:0.2em 0 0.4em"><span class="mw-default-size" typeof="mw:File/Frameless"><a href="/wiki/%E0%A4%9A%E0%A4%BF%E0%A4%A4%E0%A5%8D%E0%A4%B0:P._Oxy._I_29.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/8/8d/P._Oxy._I_29.jpg/220px-P._Oxy._I_29.jpg" decoding="async" width="220" height="134" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/8d/P._Oxy._I_29.jpg/330px-P._Oxy._I_29.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/8d/P._Oxy._I_29.jpg/440px-P._Oxy._I_29.jpg 2x" data-file-width="1694" data-file-height="1032" /></a></span><div style="padding-top:0.2em;line-height:1.2em">ओक्सीरिंकस पेपिरस(P.Oxy. I 29) जो यूक्लिड का एलीमेंट्स का एक टुकड़ा दिखा रहा है</div></td></tr><tr><td style="padding:0 0.1em 0.4em"> <a href="/wiki/%E0%A4%9C%E0%A5%8D%E0%A4%AF%E0%A4%BE%E0%A4%AE%E0%A4%BF%E0%A4%A4%E0%A4%BF_%E0%A4%95%E0%A4%BE_%E0%A4%87%E0%A4%A4%E0%A4%BF%E0%A4%B9%E0%A4%BE%E0%A4%B8" title="ज्यामिति का इतिहास">ज्यामिति का इतिहास</a></td> </tr><tr><td style="padding:0 0.1em 0.4em"> <div class="NavFrame collapsed" style="border:none;padding:0"><div class="NavHead" style="font-size:105%;background:transparent;text-align:left">उपखंड</div><div class="NavContent" style="font-size:105%;padding:0.2em 0 0.4em;text-align:center"><a href="/wiki/%E0%A4%89%E0%A4%AA%E0%A4%96%E0%A4%82%E0%A4%A1" class="mw-redirect" title="उपखंड">उपखंड</a> <span style="font-weight:bold;">·</span>  <a href="/wiki/%E0%A4%85%E0%A4%AF%E0%A5%82%E0%A4%95%E0%A5%8D%E0%A4%B2%E0%A4%BF%E0%A4%A1%E0%A5%80%E0%A4%AF_%E0%A4%9C%E0%A5%8D%E0%A4%AF%E0%A4%BE%E0%A4%AE%E0%A4%BF%E0%A4%A4%E0%A4%BF" title="अयूक्लिडीय ज्यामिति">अयूक्लिडीय ज्यामिति</a>  <span style="font-weight:bold;">·</span>  <a href="/wiki/%E0%A4%B5%E0%A5%88%E0%A4%B6%E0%A5%8D%E2%80%8D%E0%A4%B2%E0%A5%87%E0%A4%B7%E0%A4%BF%E0%A4%95_%E0%A4%9C%E0%A5%8D%E0%A4%AF%E0%A4%BE%E0%A4%AE%E0%A4%BF%E0%A4%A4%E0%A4%BF" title="वैश्‍लेषिक ज्यामिति">वैश्‍लेषिक ज्यामिति</a>  <span style="font-weight:bold;">·</span>  <a href="/wiki/%E0%A4%B0%E0%A5%80%E0%A4%AE%E0%A4%BE%E0%A4%A8%E0%A5%80_%E0%A4%9C%E0%A5%8D%E0%A4%AF%E0%A4%BE%E0%A4%AE%E0%A4%BF%E0%A4%A4%E0%A4%BF" title="रीमानी ज्यामिति">रीमानी ज्यामिति</a>  <span style="font-weight:bold;">·</span>  <a href="/wiki/%E0%A4%85%E0%A4%B5%E0%A4%95%E0%A4%B2_%E0%A4%9C%E0%A5%8D%E0%A4%AF%E0%A4%BE%E0%A4%AE%E0%A4%BF%E0%A4%A4%E0%A4%BF" title="अवकल ज्यामिति">अवकल ज्यामिति</a>  <span style="font-weight:bold;">·</span>  <a href="/wiki/%E0%A4%AA%E0%A5%8D%E0%A4%B0%E0%A4%95%E0%A5%8D%E0%A4%B7%E0%A5%87%E0%A4%AA%E0%A5%80%E0%A4%AF_%E0%A4%9C%E0%A5%8D%E0%A4%AF%E0%A4%BE%E0%A4%AE%E0%A4%BF%E0%A4%A4%E0%A4%BF" title="प्रक्षेपीय ज्यामिति">प्रक्षेपीय ज्यामिति</a>  <span style="font-weight:bold;">·</span>  <a href="/wiki/%E0%A4%AC%E0%A5%80%E0%A4%9C%E0%A5%80%E0%A4%AF_%E0%A4%9C%E0%A5%8D%E0%A4%AF%E0%A4%BE%E0%A4%AE%E0%A4%BF%E0%A4%A4%E0%A4%BF" title="बीजीय ज्यामिति">बीजीय ज्यामिति</a>  <span style="font-weight:bold;">·</span>  <a href="/w/index.php?title=%E0%A4%AA%E0%A5%8D%E0%A4%B0%E0%A4%A4%E0%A4%BF%E0%A4%B2%E0%A5%8B%E0%A4%AE%E0%A5%80%E0%A4%AF_%E0%A4%9C%E0%A5%8D%E0%A4%AF%E0%A4%BE%E0%A4%AE%E0%A4%BF%E0%A4%A4%E0%A4%BF&action=edit&redlink=1" class="new" title="प्रतिलोमीय ज्यामिति (पृष्ठ मौजूद नहीं है)">प्रतिलोमीय ज्यामिति</a></div></div></td> </tr><tr><td style="padding:0 0.1em 0.4em"> <div class="NavFrame collapsed" style="border:none;padding:0"><div class="NavHead" style="font-size:105%;background:transparent;text-align:left">अनुसंधान के क्षेत्रों</div><div class="NavContent" style="font-size:105%;padding:0.2em 0 0.4em;text-align:center"><a href="/wiki/%E0%A4%AC%E0%A5%80%E0%A4%9C%E0%A5%80%E0%A4%AF_%E0%A4%9C%E0%A5%8D%E0%A4%AF%E0%A4%BE%E0%A4%AE%E0%A4%BF%E0%A4%A4%E0%A4%BF" title="बीजीय ज्यामिति">बीजीय ज्यामिति</a></div></div></td> </tr><tr><td style="padding:0 0.1em 0.4em"> <div class="NavFrame collapsed" style="border:none;padding:0"><div class="NavHead" style="font-size:105%;background:transparent;text-align:left">महत्वपूर्ण अवधारणा</div><div class="NavContent" style="font-size:105%;padding:0.2em 0 0.4em;text-align:center"><a href="/wiki/%E0%A4%AC%E0%A4%BF%E0%A4%82%E0%A4%A6%E0%A5%81" title="बिंदु">बिंदु</a>  <span style="font-weight:bold;">·</span>  <a href="/wiki/%E0%A4%B8%E0%A4%B0%E0%A4%B2_%E0%A4%B0%E0%A5%87%E0%A4%96%E0%A4%BE" title="सरल रेखा">सरल रेखा</a>  <span style="font-weight:bold;">·</span>  <a href="/w/index.php?title=Perpendicular&action=edit&redlink=1" class="new" title="Perpendicular (पृष्ठ मौजूद नहीं है)">Perpendicular</a>  <span style="font-weight:bold;">·</span>  <a href="/w/index.php?title=Parallel_(geometry)&action=edit&redlink=1" class="new" title="Parallel (geometry) (पृष्ठ मौजूद नहीं है)">Parallel</a>  <span style="font-weight:bold;">·</span>  <a href="/w/index.php?title=Line_segment&action=edit&redlink=1" class="new" title="Line segment (पृष्ठ मौजूद नहीं है)">Line segment</a>  <span style="font-weight:bold;">·</span>  <a href="/w/index.php?title=Ray_(geometry)&action=edit&redlink=1" class="new" title="Ray (geometry) (पृष्ठ मौजूद नहीं है)">Ray</a>  <span style="font-weight:bold;">·</span>  <a href="/wiki/%E0%A4%B8%E0%A4%AE%E0%A4%A4%E0%A4%B2_(%E0%A4%9C%E0%A5%8D%E0%A4%AF%E0%A4%BE%E0%A4%AE%E0%A4%BF%E0%A4%A4%E0%A4%BF)" title="समतल (ज्यामिति)">समतल </a>  <span style="font-weight:bold;">·</span>  <a href="/wiki/%E0%A4%B2%E0%A4%AE%E0%A5%8D%E0%A4%AC%E0%A4%BE%E0%A4%88" title="लम्बाई">लम्बाई</a>  <span style="font-weight:bold;">·</span>  <a href="/wiki/%E0%A4%95%E0%A5%8D%E0%A4%B7%E0%A5%87%E0%A4%A4%E0%A5%8D%E0%A4%B0%E0%A4%AB%E0%A4%B2" title="क्षेत्रफल">क्षेत्रफल</a>  <span style="font-weight:bold;">·</span>  <a class="mw-selflink selflink">आयतन</a>  <span style="font-weight:bold;">·</span>  <a href="/w/index.php?title=Vertex_(geometry)&action=edit&redlink=1" class="new" title="Vertex (geometry) (पृष्ठ मौजूद नहीं है)">Vertex</a>  <span style="font-weight:bold;">·</span>  <a href="/wiki/%E0%A4%95%E0%A5%8B%E0%A4%A3" title="कोण">कोण</a>  <span style="font-weight:bold;">·</span>  <a href="/wiki/%E0%A4%B8%E0%A4%B0%E0%A5%8D%E0%A4%B5%E0%A4%BE%E0%A4%82%E0%A4%97%E0%A4%B8%E0%A4%AE%E0%A4%A4%E0%A4%BE" title="सर्वांगसमता">सर्वांगसमता</a>  <span style="font-weight:bold;">·</span>  <a href="/wiki/%E0%A4%B8%E0%A4%AE%E0%A4%B0%E0%A5%82%E0%A4%AA%E0%A4%A4%E0%A4%BE" title="समरूपता">समरूपता</a>  <span style="font-weight:bold;">·</span>  <a href="/wiki/%E0%A4%AC%E0%A4%B9%E0%A5%81%E0%A4%AD%E0%A5%81%E0%A4%9C" title="बहुभुज">बहुभुज</a>  <span style="font-weight:bold;">·</span>  <a href="/wiki/%E0%A4%A4%E0%A5%8D%E0%A4%B0%E0%A4%BF%E0%A4%AD%E0%A5%81%E0%A4%9C" title="त्रिभुज">त्रिभुज</a>  <span style="font-weight:bold;">·</span>  <a href="/w/index.php?title=Altitude_(triangle)&action=edit&redlink=1" class="new" title="Altitude (triangle) (पृष्ठ मौजूद नहीं है)">Altitude</a>  <span style="font-weight:bold;">·</span>  <a href="/w/index.php?title=Hypotenuse&action=edit&redlink=1" class="new" title="Hypotenuse (पृष्ठ मौजूद नहीं है)">Hypotenuse</a> <span style="font-weight:bold;">·</span>  <a href="/wiki/%E0%A4%AA%E0%A4%BE%E0%A4%AF%E0%A4%A5%E0%A5%8B%E0%A4%97%E0%A5%8B%E0%A4%B0%E0%A4%B8_%E0%A4%AA%E0%A5%8D%E0%A4%B0%E0%A4%AE%E0%A5%87%E0%A4%AF" class="mw-redirect" title="पायथोगोरस प्रमेय">पायथोगोरस प्रमेय</a> <span style="font-weight:bold;">·</span>  <a href="/wiki/%E0%A4%9A%E0%A4%A4%E0%A5%81%E0%A4%B0%E0%A5%8D%E0%A4%AD%E0%A5%81%E0%A4%9C" title="चतुर्भुज">चतुर्भुज</a>  <span style="font-weight:bold;">·</span>  <a href="/w/index.php?title=Trapezoid&action=edit&redlink=1" class="new" title="Trapezoid (पृष्ठ मौजूद नहीं है)">Trapezoid</a> <span style="font-weight:bold;">·</span>  <a href="/w/index.php?title=Kite_(geometry)&action=edit&redlink=1" class="new" title="Kite (geometry) (पृष्ठ मौजूद नहीं है)">Kite</a>  <span style="font-weight:bold;">·</span>  <a href="/w/index.php?title=Parallelogram&action=edit&redlink=1" class="new" title="Parallelogram (पृष्ठ मौजूद नहीं है)">Parallelogram</a> (<a href="/w/index.php?title=Rhomboid&action=edit&redlink=1" class="new" title="Rhomboid (पृष्ठ मौजूद नहीं है)">Rhomboid</a>, <a href="/wiki/%E0%A4%86%E0%A4%AF%E0%A4%A4" title="आयत">आयत</a>, <a href="/w/index.php?title=Rhombus&action=edit&redlink=1" class="new" title="Rhombus (पृष्ठ मौजूद नहीं है)">Rhombus</a>, <a href="/wiki/%E0%A4%B5%E0%A4%B0%E0%A5%8D%E0%A4%97" title="वर्ग">वर्ग</a>)  <span style="font-weight:bold;">·</span>  <a href="/w/index.php?title=Diagonal&action=edit&redlink=1" class="new" title="Diagonal (पृष्ठ मौजूद नहीं है)">Diagonal</a>  <span style="font-weight:bold;">·</span>  <a href="/wiki/%E0%A4%B8%E0%A4%AE%E0%A4%AE%E0%A4%BF%E0%A4%A4%E0%A4%BF" title="सममिति">सममिति</a>  <span style="font-weight:bold;">·</span>  <a href="/wiki/%E0%A4%B5%E0%A4%95%E0%A5%8D%E0%A4%B0" title="वक्र">वक्र</a> <span style="font-weight:bold;">·</span>  <a href="/wiki/%E0%A4%B5%E0%A5%83%E0%A4%A4%E0%A5%8D%E0%A4%A4" title="वृत्त">वृत्त</a>  <span style="font-weight:bold;">·</span>  <a href="/w/index.php?title=Area_of_a_disk&action=edit&redlink=1" class="new" title="Area of a disk (पृष्ठ मौजूद नहीं है)">Area of a disk</a>  <span style="font-weight:bold;">·</span>  <a href="/w/index.php?title=Circumference&action=edit&redlink=1" class="new" title="Circumference (पृष्ठ मौजूद नहीं है)">Circumference</a>  <span style="font-weight:bold;">·</span>  <a href="/w/index.php?title=Diameter&action=edit&redlink=1" class="new" title="Diameter (पृष्ठ मौजूद नहीं है)">Diameter</a>  <span style="font-weight:bold;">·</span>  <a href="/w/index.php?title=Cylinder_(geometry)&action=edit&redlink=1" class="new" title="Cylinder (geometry) (पृष्ठ मौजूद नहीं है)">Cylinder</a>  <span style="font-weight:bold;">·</span>  <a href="/w/index.php?title=Sphere&action=edit&redlink=1" class="new" title="Sphere (पृष्ठ मौजूद नहीं है)">Sphere</a>  <span style="font-weight:bold;">·</span>  <a href="/wiki/%E0%A4%AA%E0%A4%BF%E0%A4%B0%E0%A4%BE%E0%A4%AE%E0%A4%BF%E0%A4%A1_%E0%A4%86%E0%A4%95%E0%A4%BE%E0%A4%B0" title="पिरामिड आकार">पिरामिड आकार</a>  <span style="font-weight:bold;">·</span> <a href="/wiki/%E0%A4%86%E0%A4%AF%E0%A4%BE%E0%A4%AE" title="आयाम">आयाम</a> (<a href="/wiki/%E0%A4%8F%E0%A4%95_%E0%A4%B5%E0%A4%BF%E0%A4%AE%E0%A5%80%E0%A4%AF_%E0%A4%B8%E0%A4%AE%E0%A4%B7%E0%A5%8D%E0%A4%9F%E0%A4%BF" title="एक विमीय समष्टि">एक</a>, <a href="/wiki/%E0%A4%A6%E0%A5%8D%E0%A4%B5%E0%A4%BF-%E0%A4%B5%E0%A4%BF%E0%A4%AE_%E0%A4%B8%E0%A4%AE%E0%A4%B7%E0%A5%8D%E0%A4%9F%E0%A4%BF" title="द्वि-विम समष्टि">दो</a>, <a href="/wiki/%E0%A4%A4%E0%A5%8D%E0%A4%B0%E0%A4%BF%E0%A4%B5%E0%A4%BF%E0%A4%AE_%E0%A4%B8%E0%A4%AE%E0%A4%B7%E0%A5%8D%E0%A4%9F%E0%A4%BF" title="त्रिविम समष्टि">तीन</a>, <a href="/wiki/%E0%A4%9A%E0%A4%A4%E0%A5%81%E0%A4%B0%E0%A5%8D%E0%A4%B5%E0%A4%BF%E0%A4%AE%E0%A5%80%E0%A4%AF_%E0%A4%B8%E0%A4%AE%E0%A4%B7%E0%A5%8D%E0%A4%9F%E0%A4%BF" class="mw-redirect" title="चतुर्विमीय समष्टि">चार</a>)</div></div></td> </tr><tr><td style="padding:0 0.1em 0.4em"> <div class="NavFrame collapsed" style="border:none;padding:0"><div class="NavHead" style="font-size:105%;background:transparent;text-align:left">रेखागणितज्ञ</div><div class="NavContent" style="font-size:105%;padding:0.2em 0 0.4em;text-align:center"><a href="/wiki/%E0%A4%86%E0%A4%B0%E0%A5%8D%E0%A4%AF%E0%A4%AD%E0%A4%9F" title="आर्यभट">आर्यभट</a>  <span style="font-weight:bold;">·</span>  <a href="/w/index.php?title=Ahmes&action=edit&redlink=1" class="new" title="Ahmes (पृष्ठ मौजूद नहीं है)">Ahmes</a>  <span style="font-weight:bold;">·</span>  <a href="/wiki/%E0%A4%8F%E0%A4%AA%E0%A5%8B%E0%A4%B2%E0%A5%8B%E0%A4%A8%E0%A4%BF%E0%A4%AF%E0%A4%B8" title="एपोलोनियस">एपोलोनियस</a>  <span style="font-weight:bold;">·</span>  <a href="/wiki/%E0%A4%86%E0%A4%B0%E0%A5%8D%E0%A4%95%E0%A4%BF%E0%A4%AE%E0%A4%BF%E0%A4%A1%E0%A4%BF%E0%A4%9C%E0%A4%BC" class="mw-redirect" title="आर्किमिडिज़">आर्किमिडिज़</a>  <span style="font-weight:bold;">·</span>  <a href="/wiki/%E0%A4%AC%E0%A5%8C%E0%A4%A7%E0%A4%BE%E0%A4%AF%E0%A4%A8" title="बौधायन">बौधायन</a>  <span style="font-weight:bold;">·</span>  <a href="/wiki/%E0%A4%AC%E0%A5%8D%E0%A4%B0%E0%A4%B9%E0%A5%8D%E0%A4%AE%E0%A4%97%E0%A5%81%E0%A4%AA%E0%A5%8D%E0%A4%A4" title="ब्रह्मगुप्त">ब्रह्मगुप्त</a>  <span style="font-weight:bold;">·</span>  <a href="/wiki/%E0%A4%AF%E0%A5%82%E0%A4%95%E0%A5%8D%E0%A4%B2%E0%A4%BF%E0%A4%A1" title="यूक्लिड">यूक्लिड</a>  <span style="font-weight:bold;">·</span>  <a href="/wiki/%E0%A4%AA%E0%A4%BE%E0%A4%87%E0%A4%A5%E0%A4%BE%E0%A4%97%E0%A5%8B%E0%A4%B0%E0%A4%B8" title="पाइथागोरस">पाइथागोरस</a>  <span style="font-weight:bold;">·</span>  <a href="/wiki/%E0%A4%89%E0%A4%AE%E0%A4%B0_%E0%A4%96%E0%A4%AF%E0%A5%8D%E0%A4%AF%E0%A4%BE%E0%A4%AE" class="mw-redirect" title="उमर खय्याम">खय्याम</a>  <span style="font-weight:bold;">·</span>  <a href="/wiki/%E0%A4%B0%E0%A5%87%E0%A4%A8%E0%A5%87_%E0%A4%A6%E0%A5%87%E0%A4%95%E0%A4%BE%E0%A4%B0%E0%A5%8D%E0%A4%A4" title="रेने देकार्त">देकार्त</a> <span style="font-weight:bold;">·</span>  <a href="/wiki/%E0%A4%AC%E0%A5%8D%E0%A4%B2%E0%A5%87%E0%A4%9C%E0%A4%BC_%E0%A4%AA%E0%A4%BE%E0%A4%B8%E0%A5%8D%E0%A4%95%E0%A4%B2" title="ब्लेज़ पास्कल">पास्कल</a>  <span style="font-weight:bold;">·</span>  <a href="/wiki/%E0%A4%B2%E0%A4%BF%E0%A4%AF%E0%A5%8B%E0%A4%A8%E0%A4%BE%E0%A4%B0%E0%A5%8D%E0%A4%A1_%E0%A4%93%E0%A4%87%E0%A4%B2%E0%A4%B0" title="लियोनार्ड ओइलर">ओइलर</a>  <span style="font-weight:bold;">·</span>  <a href="/w/index.php?title=Carl_Friedrich_Gauss&action=edit&redlink=1" class="new" title="Carl Friedrich Gauss (पृष्ठ मौजूद नहीं है)">Gauss</a>  <span 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है)">Zhang Heng</a></div></div></td> </tr><tr><td style="text-align:right;font-size:115%;padding-top: 0.6em;"><div class="plainlinks hlist navbar mini"><ul><li class="nv-view"><a href="/wiki/%E0%A4%B8%E0%A4%BE%E0%A4%81%E0%A4%9A%E0%A4%BE:%E0%A4%9C%E0%A5%8D%E0%A4%AF%E0%A4%BE%E0%A4%AE%E0%A4%BF%E0%A4%A4%E0%A4%BF" title="साँचा:ज्यामिति"><abbr title="यह साँचा देखें">दे</abbr></a></li><li class="nv-talk"><a href="/w/index.php?title=%E0%A4%B8%E0%A4%BE%E0%A4%81%E0%A4%9A%E0%A4%BE_%E0%A4%B5%E0%A4%BE%E0%A4%B0%E0%A5%8D%E0%A4%A4%E0%A4%BE:%E0%A4%9C%E0%A5%8D%E0%A4%AF%E0%A4%BE%E0%A4%AE%E0%A4%BF%E0%A4%A4%E0%A4%BF&action=edit&redlink=1" class="new" title="साँचा वार्ता:ज्यामिति (पृष्ठ मौजूद नहीं है)"><abbr title="इस साँचे से संबंधित चर्चा करें">वा</abbr></a></li><li class="nv-edit"><a class="external text" href="https://hi.wikipedia.org/w/index.php?title=%E0%A4%B8%E0%A4%BE%E0%A4%81%E0%A4%9A%E0%A4%BE:%E0%A4%9C%E0%A5%8D%E0%A4%AF%E0%A4%BE%E0%A4%AE%E0%A4%BF%E0%A4%A4%E0%A4%BF&action=edit"><abbr title="यह साँचा संपादित करें">सं</abbr></a></li></ul></div></td></tr></tbody></table> <p>सभी <a href="/wiki/%E0%A4%AA%E0%A4%A6%E0%A4%BE%E0%A4%B0%E0%A5%8D%E0%A4%A5" title="पदार्थ">पदार्थ</a> स्थान (त्रि-विमीय स्थान) घेरते हैं। इसी त्रि-विमीय स्थान की मात्रा की माप को <b><a rel="nofollow" class="external text" href="https://web.archive.org/web/20190707115038/https://www.cbsenoteshindi.com/2018/02/surface-areas-and-volumes-class-10.html">आयतन</a></b> कहते हैं। एक-विमीय आकृतियाँ (जैसे रेखा) एवं द्वि-विमीय आकृतियाँ (जैसे त्रिभुज, चतुर्भुज, वर्ग आदि) का आयतन शून्य होता है। </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="आयतन_के_सूत्र"><span id=".E0.A4.86.E0.A4.AF.E0.A4.A4.E0.A4.A8_.E0.A4.95.E0.A5.87_.E0.A4.B8.E0.A5.82.E0.A4.A4.E0.A5.8D.E0.A4.B0"></span>आयतन के सूत्र</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E0%A4%86%E0%A4%AF%E0%A4%A4%E0%A4%A8&action=edit&section=1" title="अनुभाग सम्पादित करें: आयतन के सूत्र"><span>संपादित करें</span></a><span class="mw-editsection-bracket">]</span></span></div> <table class="prettytable"> <tbody><tr> <th colspan="3">आयतन के प्रमुख समीकरण: </th></tr> <tr> <th>आकार </th> <th>सूत्र </th> <th>चर (Variables) का अर्थ </th></tr> <tr> <td>घन (cube): </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 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> </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/d809d6096040d213a084012207fdf0d50946e70e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.145ex; height:2.676ex;" alt="{\displaystyle s^{3}}"></span> </td> <td><i>s</i> = एक भुजा की लम्बाई </td></tr> <tr> <td>घनाभ (पैरेलोपाइप्ड) : </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 l\cdot b\cdot h}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>l</mi> <mo>⋅</mo> <mi>b</mi> <mo>⋅</mo> <mi>h</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle l\cdot b\cdot h}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7103abe60b6779446a8dca033273880b2a82ecb7" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:6.388ex; height:2.176ex;" alt="{\displaystyle l\cdot b\cdot h}"></span> </td> <td>l = लम्बाई, b = चौड़ाई, h = ऊँचाई </td></tr> <tr> <td>लम्ब वृत्तीय बेलन (या, वृत्तीय प्रिज्म) : </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 r^{2}h}"> <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> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \pi r^{2}h}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7f0350a9c71cfb1388ec50689af098b6be292acd" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:4.774ex; height:2.676ex;" alt="{\displaystyle \pi r^{2}h}"></span> </td> <td><i>r</i> = समतल वृत्तीय फलक (face) की <a href="/wiki/%E0%A4%A4%E0%A5%8D%E0%A4%B0%E0%A4%BF%E0%A4%9C%E0%A5%8D%E0%A4%AF%E0%A4%BE" title="त्रिज्या">त्रिज्या</a>, <i>h</i> = ऊँचाई </td></tr> <tr> <td>कोई भी प्रिज्म, जिसकी पूरी ऊँचाई में सर्वत्र अनुप्रस्थ काट का क्षेत्रफल समान हो**: </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 A\cdot h}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>A</mi> <mo>⋅</mo> <mi>h</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle A\cdot h}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/77f49002624282f7885f23e19f358effe01df6b1" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:4.761ex; height:2.176ex;" alt="{\displaystyle A\cdot h}"></span> </td> <td><i>A</i> = आधार का क्षेत्रफल, <i>h</i> = ऊंचाई </td></tr> <tr> <td><a href="/wiki/%E0%A4%97%E0%A5%8B%E0%A4%B2%E0%A4%BE" title="गोला">गोला</a> (sphere) </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 {\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> <br /> गोले का आयतन उसके वक्र पृष्ठ के समाकलन (इन्टीग्रेशन) के बराबर होता है। </td> <td><i>r</i> = गोले की त्रिज्या </td></tr> <tr> <td>दीर्घ वृत्ताभ (ellipsoid): </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 {\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> = दीर्घ वृत्ताभ के अर्धाक्ष (semi-axes) की माप </td></tr> <tr> <td>सूची स्तम्भ (Pyramid): </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 {\frac {1}{3}}Ah}"> <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>A</mi> <mi>h</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {1}{3}}Ah}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3a8c13285719d11dda618789c63554b59ee51e64" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:5.081ex; height:5.176ex;" alt="{\displaystyle {\frac {1}{3}}Ah}"></span> </td> <td><i>A</i> = आधार का क्षेत्रफल, <i>h</i> = लम्बवत ऊँचाई </td></tr> <tr> <td>शंकु (Cone) या वृत्तीय आधार वाला सूची-स्तम्भ (pyramid): </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 {\frac {1}{3}}\pi r^{2}h}"> <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>h</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {1}{3}}\pi r^{2}h}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6d2006a2f5533ecd0dce30332eba227da86b7404" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:6.772ex; height:5.176ex;" alt="{\displaystyle {\frac {1}{3}}\pi r^{2}h}"></span> </td> <td><i>r</i> = वृत्तीय आधार की त्रिज्या, <i>h</i> = शीर्ष (tip) की आधार से लम्बवत दूरी </td></tr> <tr> <td>किसी भी आकार के लिये (समाकलन का प्रयोग करना पड़ता है) </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 \int A(h)\,dh}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo>∫</mo> <mi>A</mi> <mo stretchy="false">(</mo> <mi>h</mi> <mo stretchy="false">)</mo> <mspace width="thinmathspace" /> <mi>d</mi> <mi>h</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \int A(h)\,dh}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/fe42db01aa0c2961476863abe7dffc386e30f973" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:10.414ex; height:5.676ex;" alt="{\displaystyle \int A(h)\,dh}"></span> </td> <td><i>h</i> = आकृति का कोई बीमा (dimension), <i>A</i>(<i>h</i>) = <i>h</i> के लम्बवत क्षेत्रफल </td></tr></tbody></table> <p>(आयतन की इकाई <b>घन मीटर'<i>, </i>घन सेमी</b>, <b>लीटर</b> आदि होती हैं। </p> <div class="mw-heading mw-heading3"><h3 id="किसी_घनाभ_के_आयतन_के_लिये_सदिश_(वेक्टर)_सूत्र_:"><span id=".E0.A4.95.E0.A4.BF.E0.A4.B8.E0.A5.80_.E0.A4.98.E0.A4.A8.E0.A4.BE.E0.A4.AD_.E0.A4.95.E0.A5.87_.E0.A4.86.E0.A4.AF.E0.A4.A4.E0.A4.A8_.E0.A4.95.E0.A5.87_.E0.A4.B2.E0.A4.BF.E0.A4.AF.E0.A5.87_.E0.A4.B8.E0.A4.A6.E0.A4.BF.E0.A4.B6_.28.E0.A4.B5.E0.A5.87.E0.A4.95.E0.A5.8D.E0.A4.9F.E0.A4.B0.29_.E0.A4.B8.E0.A5.82.E0.A4.A4.E0.A5.8D.E0.A4.B0_:"></span>किसी <a href="/wiki/%E0%A4%98%E0%A4%A8%E0%A4%BE%E0%A4%AD" title="घनाभ">घनाभ</a> के आयतन के लिये <a href="/wiki/%E0%A4%B8%E0%A4%A6%E0%A4%BF%E0%A4%B6_%E0%A4%B0%E0%A4%BE%E0%A4%B6%E0%A4%BF" title="सदिश राशि">सदिश</a> (वेक्टर) सूत्र :</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E0%A4%86%E0%A4%AF%E0%A4%A4%E0%A4%A8&action=edit&section=2" title="अनुभाग सम्पादित करें: किसी घनाभ के आयतन के लिये सदिश (वेक्टर) सूत्र :"><span>संपादित करें</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>किसी घनाभ के किसी एक शीर्ष पर मिलने वाली तीनों कोर () को सदिश रूप में व्यक्त करें तो उसका आयतन इन तीन सदिशों के अदिश गुणनफल (scalar triple product) के बराबर होता है। </p> <div class="mw-heading mw-heading3"><h3 id="किसी_चतुष्फलकी_(tetrahedron)_के_आयतन_के_लिये_सदिश_सूत्र_:"><span id=".E0.A4.95.E0.A4.BF.E0.A4.B8.E0.A5.80_.E0.A4.9A.E0.A4.A4.E0.A5.81.E0.A4.B7.E0.A5.8D.E0.A4.AB.E0.A4.B2.E0.A4.95.E0.A5.80_.28tetrahedron.29_.E0.A4.95.E0.A5.87_.E0.A4.86.E0.A4.AF.E0.A4.A4.E0.A4.A8_.E0.A4.95.E0.A5.87_.E0.A4.B2.E0.A4.BF.E0.A4.AF.E0.A5.87_.E0.A4.B8.E0.A4.A6.E0.A4.BF.E0.A4.B6_.E0.A4.B8.E0.A5.82.E0.A4.A4.E0.A5.8D.E0.A4.B0_:"></span>किसी चतुष्फलकी (tetrahedron) के आयतन के लिये सदिश सूत्र :</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E0%A4%86%E0%A4%AF%E0%A4%A4%E0%A4%A8&action=edit&section=3" title="अनुभाग सम्पादित करें: किसी चतुष्फलकी (tetrahedron) के आयतन के लिये सदिश सूत्र :"><span>संपादित करें</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>किसी चतुष्फलकी के चारों शीर्षों के <a href="/wiki/%E0%A4%B8%E0%A5%8D%E0%A4%A5%E0%A4%BF%E0%A4%A4%E0%A4%BF_%E0%A4%B8%E0%A4%A6%E0%A4%BF%E0%A4%B6" title="स्थिति सदिश">स्थिति सदिश</a> (position vectors) <b>a</b>, <b>b</b>, <b>c</b> and <b>d</b> हों तो उसका आयतन (<b>a</b>−<b>b</b>, <b>b</b>−<b>c</b>, <b>c</b>−<b>d</b>) के तिर्यक सदिश गुणनफल (scalar triple product) के १/६ के बराबर होता है। </p> <div class="mw-heading mw-heading2"><h2 id="आयतन_और_घनत्व_(density)"><span id=".E0.A4.86.E0.A4.AF.E0.A4.A4.E0.A4.A8_.E0.A4.94.E0.A4.B0_.E0.A4.98.E0.A4.A8.E0.A4.A4.E0.A5.8D.E0.A4.B5_.28density.29"></span>आयतन और घनत्व (density)</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E0%A4%86%E0%A4%AF%E0%A4%A4%E0%A4%A8&action=edit&section=4" title="अनुभाग सम्पादित करें: आयतन और घनत्व (density)"><span>संपादित करें</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>किसी पदार्थ के इकाई आयतन में निहित द्रब्य </p><p>मान (mass) को उस पदार्थ का <b>घनत्व</b> कहते हैं। लोहे का घनत्व लकड़ी के घनत्व से अधिक होता है। </p> <div class="mw-heading mw-heading2"><h2 id="इन्हें_भी_देखें"><span id=".E0.A4.87.E0.A4.A8.E0.A5.8D.E0.A4.B9.E0.A5.87.E0.A4.82_.E0.A4.AD.E0.A5.80_.E0.A4.A6.E0.A5.87.E0.A4.96.E0.A5.87.E0.A4.82"></span>इन्हें भी देखें</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E0%A4%86%E0%A4%AF%E0%A4%A4%E0%A4%A8&action=edit&section=5" title="अनुभाग सम्पादित करें: इन्हें भी देखें"><span>संपादित करें</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/%E0%A4%95%E0%A5%8D%E0%A4%B7%E0%A5%87%E0%A4%A4%E0%A5%8D%E0%A4%B0%E0%A4%AB%E0%A4%B2" title="क्षेत्रफल">क्षेत्रफल</a></li> <li><a href="/wiki/%E0%A4%98%E0%A4%A8%E0%A4%A4%E0%A5%8D%E0%A4%B5" title="घनत्व">घनत्व</a></li> <li><a href="/wiki/%E0%A4%B2%E0%A4%AE%E0%A5%8D%E0%A4%AC%E0%A4%BE%E0%A4%88" title="लम्बाई">लम्बाई</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="बाहरी_कड़ियाँ"><span id=".E0.A4.AC.E0.A4.BE.E0.A4.B9.E0.A4.B0.E0.A5.80_.E0.A4.95.E0.A4.A1.E0.A4.BC.E0.A4.BF.E0.A4.AF.E0.A4.BE.E0.A4.81"></span>बाहरी कड़ियाँ</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E0%A4%86%E0%A4%AF%E0%A4%A4%E0%A4%A8&action=edit&section=6" title="अनुभाग सम्पादित करें: बाहरी कड़ियाँ"><span>संपादित करें</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a rel="nofollow" class="external text" href="https://web.archive.org/web/20080620032716/http://www.phy.ilstu.edu/~mnorton/Geometry.txt">FORTRAN code for finding volumes of various shapes</a></li> <li><a rel="nofollow" class="external text" href="https://web.archive.org/web/20080526052649/http://www.pneumofore.com/support/tools">Unit Converter Tool also for Volume</a></li></ul>    </div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">"<a dir="ltr" href="https://hi.wikipedia.org/w/index.php?title=आयतन&oldid=5893600">https://hi.wikipedia.org/w/index.php?title=आयतन&oldid=5893600</a>" से प्राप्त</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/%E0%A4%B5%E0%A4%BF%E0%A4%B6%E0%A5%87%E0%A4%B7:%E0%A4%B6%E0%A5%8D%E0%A4%B0%E0%A5%87%E0%A4%A3%E0%A4%BF%E0%A4%AF%E0%A4%BE%E0%A4%81" title="विशेष:श्रेणियाँ">श्रेणियाँ</a>: <ul><li><a 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