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class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Kubo dvigubinimas</span> </div> </a> <ul id="toc-Kubo_dvigubinimas-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Praktinis_panaudojimas" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Praktinis_panaudojimas"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>Praktinis panaudojimas</span> </div> </a> <ul id="toc-Praktinis_panaudojimas-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Šaltiniai" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Šaltiniai"> <div class="vector-toc-text"> <span class="vector-toc-numb">7</span> <span>Šaltiniai</span> </div> </a> <ul id="toc-Šaltiniai-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="Turinys" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" title="Turinys" > <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="Toggle the table of contents" > <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">Toggle the table of contents</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">Kubas</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="Go to an article in another language. Available in 105 languages" > <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-105" 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">105 kalbų</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/Kubus" title="Kubus – afrikanų" lang="af" hreflang="af" data-title="Kubus" data-language-autonym="Afrikaans" data-language-local-name="afrikanų" class="interlanguage-link-target"><span>Afrikaans</span></a></li><li class="interlanguage-link interwiki-am mw-list-item"><a href="https://am.wikipedia.org/wiki/%E1%8A%AD%E1%8B%A9%E1%89%A5" title="ክዩብ – amharų" lang="am" hreflang="am" data-title="ክዩብ" data-language-autonym="አማርኛ" data-language-local-name="amharų" class="interlanguage-link-target"><span>አማርኛ</span></a></li><li class="interlanguage-link interwiki-an mw-list-item"><a href="https://an.wikipedia.org/wiki/Cubo" title="Cubo – aragonesų" lang="an" hreflang="an" data-title="Cubo" data-language-autonym="Aragonés" data-language-local-name="aragonesų" class="interlanguage-link-target"><span>Aragonés</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D9%85%D9%83%D8%B9%D8%A8" title="مكعب – arabų" lang="ar" hreflang="ar" data-title="مكعب" data-language-autonym="العربية" data-language-local-name="arabų" 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%85%D9%83%D8%B9%D8%A8" title="مكعب – Maroko arabų" lang="ary" hreflang="ary" data-title="مكعب" data-language-autonym="الدارجة" data-language-local-name="Maroko arabų" 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/Hexaedru" title="Hexaedru – asturianų" lang="ast" hreflang="ast" data-title="Hexaedru" data-language-autonym="Asturianu" data-language-local-name="asturianų" 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/Kub" title="Kub – azerbaidžaniečių" lang="az" hreflang="az" data-title="Kub" data-language-autonym="Azərbaycanca" data-language-local-name="azerbaidžaniečių" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-azb mw-list-item"><a href="https://azb.wikipedia.org/wiki/%DA%A9%DB%86%D8%A8" title="کۆب – South Azerbaijani" lang="azb" hreflang="azb" data-title="کۆب" data-language-autonym="تۆرکجه" data-language-local-name="South Azerbaijani" class="interlanguage-link-target"><span>تۆرکجه</span></a></li><li class="interlanguage-link interwiki-ba mw-list-item"><a href="https://ba.wikipedia.org/wiki/%D0%9A%D1%83%D0%B1" title="Куб – baškirų" lang="ba" hreflang="ba" data-title="Куб" data-language-autonym="Башҡортса" data-language-local-name="baškirų" class="interlanguage-link-target"><span>Башҡортса</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%9A%D1%83%D0%B1" title="Куб – baltarusių" lang="be" hreflang="be" data-title="Куб" data-language-autonym="Беларуская" data-language-local-name="baltarusių" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%9A%D1%83%D0%B1" title="Куб – bulgarų" lang="bg" hreflang="bg" data-title="Куб" data-language-autonym="Български" data-language-local-name="bulgarų" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Kocka" title="Kocka – bosnių" lang="bs" hreflang="bs" data-title="Kocka" data-language-autonym="Bosanski" data-language-local-name="bosnių" 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/Cub" title="Cub – katalonų" lang="ca" hreflang="ca" data-title="Cub" data-language-autonym="Català" data-language-local-name="katalonų" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%D8%B4%DB%95%D8%B4%D9%BE%D8%A7%DA%B5%D9%88%D9%88" title="شەشپاڵوو – soranių kurdų" lang="ckb" hreflang="ckb" data-title="شەشپاڵوو" data-language-autonym="کوردی" data-language-local-name="soranių kurdų" 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/Krychle" title="Krychle – čekų" lang="cs" hreflang="cs" data-title="Krychle" data-language-autonym="Čeština" data-language-local-name="čekų" 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%D1%83%D0%B1" title="Куб – čiuvašų" lang="cv" hreflang="cv" data-title="Куб" data-language-autonym="Чӑвашла" data-language-local-name="čiuvašų" 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/Ciwb" title="Ciwb – valų" lang="cy" hreflang="cy" data-title="Ciwb" data-language-autonym="Cymraeg" data-language-local-name="valų" 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/Terning" title="Terning – danų" lang="da" hreflang="da" data-title="Terning" data-language-autonym="Dansk" data-language-local-name="danų" 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/W%C3%BCrfel_(Geometrie)" title="Würfel (Geometrie) – vokiečių" lang="de" hreflang="de" data-title="Würfel (Geometrie)" data-language-autonym="Deutsch" data-language-local-name="vokiečių" 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%9A%CF%8D%CE%B2%CE%BF%CF%82" title="Κύβος – graikų" lang="el" hreflang="el" data-title="Κύβος" data-language-autonym="Ελληνικά" data-language-local-name="graikų" 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/Cube" title="Cube – anglų" lang="en" hreflang="en" data-title="Cube" data-language-autonym="English" data-language-local-name="anglų" 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/Kubo_(geometrio)" title="Kubo (geometrio) – esperanto" lang="eo" hreflang="eo" data-title="Kubo (geometrio)" 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/Cubo" title="Cubo – ispanų" lang="es" hreflang="es" data-title="Cubo" data-language-autonym="Español" data-language-local-name="ispanų" 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/Kuup" title="Kuup – estų" lang="et" hreflang="et" data-title="Kuup" data-language-autonym="Eesti" data-language-local-name="estų" 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/Kubo" title="Kubo – baskų" lang="eu" hreflang="eu" data-title="Kubo" data-language-autonym="Euskara" data-language-local-name="baskų" 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/%D9%85%DA%A9%D8%B9%D8%A8" title="مکعب – persų" lang="fa" hreflang="fa" data-title="مکعب" data-language-autonym="فارسی" data-language-local-name="persų" 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/Kuutio" title="Kuutio – suomių" lang="fi" hreflang="fi" data-title="Kuutio" data-language-autonym="Suomi" data-language-local-name="suomių" 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/Cube" title="Cube – prancūzų" lang="fr" hreflang="fr" data-title="Cube" data-language-autonym="Français" data-language-local-name="prancūzų" 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/Tiarling_(Geometrii)" title="Tiarling (Geometrii) – šiaurinių fryzų" lang="frr" hreflang="frr" data-title="Tiarling (Geometrii)" data-language-autonym="Nordfriisk" data-language-local-name="šiaurinių fryzų" 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/Ci%C3%BAb" title="Ciúb – airių" lang="ga" hreflang="ga" data-title="Ciúb" data-language-autonym="Gaeilge" data-language-local-name="airių" 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/%E7%AB%8B%E6%96%B9%E9%AB%94" title="立方體 – kinų kalbos dziangsi tarmė" lang="gan" hreflang="gan" data-title="立方體" data-language-autonym="贛語" data-language-local-name="kinų kalbos dziangsi tarmė" class="interlanguage-link-target"><span>贛語</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Cubo" title="Cubo – galisų" lang="gl" hreflang="gl" data-title="Cubo" data-language-autonym="Galego" data-language-local-name="galisų" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-gu mw-list-item"><a href="https://gu.wikipedia.org/wiki/%E0%AA%B8%E0%AA%AE%E0%AA%98%E0%AA%A8" title="સમઘન – gudžaratų" lang="gu" hreflang="gu" data-title="સમઘન" data-language-autonym="ગુજરાતી" data-language-local-name="gudžaratų" class="interlanguage-link-target"><span>ગુજરાતી</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%A7%D7%95%D7%91%D7%99%D7%99%D7%94" title="קובייה – hebrajų" lang="he" hreflang="he" data-title="קובייה" data-language-autonym="עברית" data-language-local-name="hebrajų" 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%98%E0%A4%A8_(%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="घन (ज्यामिति) – hindi" lang="hi" hreflang="hi" data-title="घन (ज्यामिति)" data-language-autonym="हिन्दी" data-language-local-name="hindi" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Kocka" title="Kocka – kroatų" lang="hr" hreflang="hr" data-title="Kocka" data-language-autonym="Hrvatski" data-language-local-name="kroatų" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Kocka" title="Kocka – vengrų" lang="hu" hreflang="hu" data-title="Kocka" data-language-autonym="Magyar" data-language-local-name="vengrų" 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%BD%D5%B8%D6%80%D5%A1%D5%B6%D5%A1%D6%80%D5%A4" title="Խորանարդ – armėnų" lang="hy" hreflang="hy" data-title="Խորանարդ" data-language-autonym="Հայերեն" data-language-local-name="armėnų" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-hyw mw-list-item"><a href="https://hyw.wikipedia.org/wiki/%D4%BD%D5%B8%D6%80%D5%A1%D5%B6%D5%A1%D6%80%D5%A4" title="Խորանարդ – Western Armenian" lang="hyw" hreflang="hyw" data-title="Խորանարդ" data-language-autonym="Արեւմտահայերէն" data-language-local-name="Western Armenian" class="interlanguage-link-target"><span>Արեւմտահայերէն</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Kubus" title="Kubus – indoneziečių" lang="id" hreflang="id" data-title="Kubus" data-language-autonym="Bahasa Indonesia" data-language-local-name="indoneziečių" 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/Kubo" title="Kubo – ido" lang="io" hreflang="io" data-title="Kubo" data-language-autonym="Ido" data-language-local-name="ido" class="interlanguage-link-target"><span>Ido</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Cubo" title="Cubo – italų" lang="it" hreflang="it" data-title="Cubo" data-language-autonym="Italiano" data-language-local-name="italų" 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/%E6%AD%A3%E5%85%AD%E9%9D%A2%E4%BD%93" title="正六面体 – japonų" lang="ja" hreflang="ja" data-title="正六面体" data-language-autonym="日本語" data-language-local-name="japonų" 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/Kyuub" title="Kyuub – Jamaikos kreolų anglų" lang="jam" hreflang="jam" data-title="Kyuub" data-language-autonym="Patois" data-language-local-name="Jamaikos kreolų anglų" 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/Kubuk" title="Kubuk – javiečių" lang="jv" hreflang="jv" data-title="Kubuk" data-language-autonym="Jawa" data-language-local-name="javiečių" 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%99%E1%83%A3%E1%83%91%E1%83%98" title="კუბი – gruzinų" lang="ka" hreflang="ka" data-title="კუბი" data-language-autonym="ქართული" data-language-local-name="gruzinų" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%9A%D1%83%D0%B1" title="Куб – kazachų" lang="kk" hreflang="kk" data-title="Куб" data-language-autonym="Қазақша" data-language-local-name="kazachų" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-kn mw-list-item"><a href="https://kn.wikipedia.org/wiki/%E0%B2%98%E0%B2%A8_(%E0%B2%86%E0%B2%95%E0%B3%83%E0%B2%A4%E0%B2%BF)" title="ಘನ (ಆಕೃತಿ) – kanadų" lang="kn" hreflang="kn" data-title="ಘನ (ಆಕೃತಿ)" data-language-autonym="ಕನ್ನಡ" data-language-local-name="kanadų" class="interlanguage-link-target"><span>ಕನ್ನಡ</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%A0%95%EC%9C%A1%EB%A9%B4%EC%B2%B4" title="정육면체 – korėjiečių" lang="ko" hreflang="ko" data-title="정육면체" data-language-autonym="한국어" data-language-local-name="korėjiečių" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-ky mw-list-item"><a href="https://ky.wikipedia.org/wiki/%D0%9A%D1%83%D0%B1" title="Куб – kirgizų" lang="ky" hreflang="ky" data-title="Куб" data-language-autonym="Кыргызча" data-language-local-name="kirgizų" 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/Cubus" title="Cubus – lotynų" lang="la" hreflang="la" data-title="Cubus" data-language-autonym="Latina" data-language-local-name="lotynų" 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/Wierfel" title="Wierfel – liuksemburgiečių" lang="lb" hreflang="lb" data-title="Wierfel" data-language-autonym="Lëtzebuergesch" data-language-local-name="liuksemburgiečių" class="interlanguage-link-target"><span>Lëtzebuergesch</span></a></li><li class="interlanguage-link interwiki-lo mw-list-item"><a href="https://lo.wikipedia.org/wiki/%E0%BA%A5%E0%BA%B9%E0%BA%81%E0%BA%9A%E0%BA%B2%E0%BA%94" title="ລູກບາດ – laosiečių" lang="lo" hreflang="lo" data-title="ລູກບາດ" data-language-autonym="ລາວ" data-language-local-name="laosiečių" class="interlanguage-link-target"><span>ລາວ</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Kubs" title="Kubs – latvių" lang="lv" hreflang="lv" data-title="Kubs" data-language-autonym="Latviešu" data-language-local-name="latvių" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-mdf mw-list-item"><a href="https://mdf.wikipedia.org/wiki/%D0%9A%D1%83%D0%B1%D1%81%D1%8C" title="Кубсь – mokša" lang="mdf" hreflang="mdf" data-title="Кубсь" data-language-autonym="Мокшень" data-language-local-name="mokša" class="interlanguage-link-target"><span>Мокшень</span></a></li><li class="interlanguage-link interwiki-mg mw-list-item"><a href="https://mg.wikipedia.org/wiki/Goba_(je%C3%B4metria)" title="Goba (jeômetria) – malagasų" lang="mg" hreflang="mg" data-title="Goba (jeômetria)" data-language-autonym="Malagasy" data-language-local-name="malagasų" class="interlanguage-link-target"><span>Malagasy</span></a></li><li class="interlanguage-link interwiki-mhr mw-list-item"><a href="https://mhr.wikipedia.org/wiki/%D0%9A%D1%83%D0%B1" title="Куб – Eastern Mari" lang="mhr" hreflang="mhr" data-title="Куб" data-language-autonym="Олык марий" data-language-local-name="Eastern Mari" class="interlanguage-link-target"><span>Олык марий</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%9A%D0%BE%D1%86%D0%BA%D0%B0" title="Коцка – makedonų" lang="mk" hreflang="mk" data-title="Коцка" data-language-autonym="Македонски" data-language-local-name="makedonų" 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%B8%E0%B4%AE%E0%B4%9A%E0%B4%A4%E0%B5%81%E0%B4%B0%E0%B4%95%E0%B5%8D%E0%B4%95%E0%B4%9F%E0%B5%8D%E0%B4%9F" title="സമചതുരക്കട്ട – malajalių" lang="ml" hreflang="ml" data-title="സമചതുരക്കട്ട" data-language-autonym="മലയാളം" data-language-local-name="malajalių" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-mr mw-list-item"><a href="https://mr.wikipedia.org/wiki/%E0%A4%98%E0%A4%A8_(%E0%A4%AD%E0%A5%82%E0%A4%AE%E0%A4%BF%E0%A4%A4%E0%A5%80)" title="घन (भूमिती) – maratų" lang="mr" hreflang="mr" data-title="घन (भूमिती)" data-language-autonym="मराठी" data-language-local-name="maratų" 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/Kubus" title="Kubus – malajiečių" lang="ms" hreflang="ms" data-title="Kubus" data-language-autonym="Bahasa Melayu" data-language-local-name="malajiečių" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-nds mw-list-item"><a href="https://nds.wikipedia.org/wiki/W%C3%B6rpel_(Geometrie)" title="Wörpel (Geometrie) – Žemutinės Vokietijos" lang="nds" hreflang="nds" data-title="Wörpel (Geometrie)" data-language-autonym="Plattdüütsch" data-language-local-name="Žemutinės Vokietijos" class="interlanguage-link-target"><span>Plattdüütsch</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Kubus_(ruimtelijke_figuur)" title="Kubus (ruimtelijke figuur) – olandų" lang="nl" hreflang="nl" data-title="Kubus (ruimtelijke figuur)" data-language-autonym="Nederlands" data-language-local-name="olandų" 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/Kube" title="Kube – naujoji norvegų" lang="nn" hreflang="nn" data-title="Kube" data-language-autonym="Norsk nynorsk" data-language-local-name="naujoji norvegų" 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/Kube" title="Kube – norvegų bukmolas" lang="nb" hreflang="nb" data-title="Kube" data-language-autonym="Norsk bokmål" data-language-local-name="norvegų bukmolas" 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/Cube" title="Cube – očitarų" lang="oc" hreflang="oc" data-title="Cube" data-language-autonym="Occitan" data-language-local-name="očitarų" 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/Garjii" title="Garjii – oromų" lang="om" hreflang="om" data-title="Garjii" data-language-autonym="Oromoo" data-language-local-name="oromų" 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%98%E0%A8%A3_(%E0%A8%96%E0%A9%87%E0%A8%A4%E0%A8%B0%E0%A8%AE%E0%A8%BF%E0%A8%A4%E0%A9%80)" title="ਘਣ (ਖੇਤਰਮਿਤੀ) – pendžabų" lang="pa" hreflang="pa" data-title="ਘਣ (ਖੇਤਰਮਿਤੀ)" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="pendžabų" 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/Sze%C5%9Bcian_(geometria)" title="Sześcian (geometria) – lenkų" lang="pl" hreflang="pl" data-title="Sześcian (geometria)" data-language-autonym="Polski" data-language-local-name="lenkų" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pms mw-list-item"><a href="https://pms.wikipedia.org/wiki/Cubo" title="Cubo – italų kalbos Pjemonto tarmė" lang="pms" hreflang="pms" data-title="Cubo" data-language-autonym="Piemontèis" data-language-local-name="italų kalbos Pjemonto tarmė" class="interlanguage-link-target"><span>Piemontèis</span></a></li><li class="interlanguage-link interwiki-pnb mw-list-item"><a href="https://pnb.wikipedia.org/wiki/%D9%85%DA%A9%D8%B9%D8%A8" title="مکعب – Western Punjabi" lang="pnb" hreflang="pnb" data-title="مکعب" data-language-autonym="پنجابی" data-language-local-name="Western Punjabi" class="interlanguage-link-target"><span>پنجابی</span></a></li><li class="interlanguage-link interwiki-ps mw-list-item"><a href="https://ps.wikipedia.org/wiki/%D8%AF%D8%B1%DB%90%D9%8A%DA%81_(%D9%85%DB%90%DA%86%D9%BE%D9%88%D9%87%D9%86%D9%87)" title="درېيځ (مېچپوهنه) – puštūnų" lang="ps" hreflang="ps" data-title="درېيځ (مېچپوهنه)" data-language-autonym="پښتو" data-language-local-name="puštūnų" class="interlanguage-link-target"><span>پښتو</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Cubo" title="Cubo – portugalų" lang="pt" hreflang="pt" data-title="Cubo" data-language-autonym="Português" data-language-local-name="portugalų" 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/Mach%27ina" title="Mach'ina – kečujų" lang="qu" hreflang="qu" data-title="Mach'ina" data-language-autonym="Runa Simi" data-language-local-name="kečujų" 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/Cub" title="Cub – rumunų" lang="ro" hreflang="ro" data-title="Cub" data-language-autonym="Română" data-language-local-name="rumunų" 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%9A%D1%83%D0%B1" title="Куб – rusų" lang="ru" hreflang="ru" data-title="Куб" data-language-autonym="Русский" data-language-local-name="rusų" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sah mw-list-item"><a href="https://sah.wikipedia.org/wiki/%D0%9A%D1%83%D0%B1" title="Куб – jakutų" lang="sah" hreflang="sah" data-title="Куб" data-language-autonym="Саха тыла" data-language-local-name="jakutų" class="interlanguage-link-target"><span>Саха тыла</span></a></li><li class="interlanguage-link interwiki-scn mw-list-item"><a href="https://scn.wikipedia.org/wiki/Cubbu" title="Cubbu – siciliečių" lang="scn" hreflang="scn" data-title="Cubbu" data-language-autonym="Sicilianu" data-language-local-name="siciliečių" 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/Cube" title="Cube – škotų" lang="sco" hreflang="sco" data-title="Cube" data-language-autonym="Scots" data-language-local-name="škotų" class="interlanguage-link-target"><span>Scots</span></a></li><li class="interlanguage-link interwiki-se mw-list-item"><a href="https://se.wikipedia.org/wiki/Gu%C4%91ahas" title="Guđahas – šiaurės samių" lang="se" hreflang="se" data-title="Guđahas" data-language-autonym="Davvisámegiella" data-language-local-name="šiaurės samių" class="interlanguage-link-target"><span>Davvisámegiella</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Kocka" title="Kocka – serbų-kroatų" lang="sh" hreflang="sh" data-title="Kocka" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="serbų-kroatų" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-si mw-list-item"><a href="https://si.wikipedia.org/wiki/%E0%B6%9D%E0%B6%B1%E0%B6%9A%E0%B6%BA" title="ඝනකය – sinhalų" lang="si" hreflang="si" data-title="ඝනකය" data-language-autonym="සිංහල" data-language-local-name="sinhalų" class="interlanguage-link-target"><span>සිංහල</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Cube" title="Cube – Simple English" lang="en-simple" hreflang="en-simple" data-title="Cube" 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/Kocka" title="Kocka – slovakų" lang="sk" hreflang="sk" data-title="Kocka" data-language-autonym="Slovenčina" data-language-local-name="slovakų" 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/Kocka" title="Kocka – slovėnų" lang="sl" hreflang="sl" data-title="Kocka" data-language-autonym="Slovenščina" data-language-local-name="slovėnų" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-so mw-list-item"><a href="https://so.wikipedia.org/wiki/Sedjibeke_(shaxan)" title="Sedjibeke (shaxan) – somaliečių" lang="so" hreflang="so" data-title="Sedjibeke (shaxan)" data-language-autonym="Soomaaliga" data-language-local-name="somaliečių" 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/Kubi_(gjeometri)" title="Kubi (gjeometri) – albanų" lang="sq" hreflang="sq" data-title="Kubi (gjeometri)" data-language-autonym="Shqip" data-language-local-name="albanų" 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%9A%D0%BE%D1%86%D0%BA%D0%B0" title="Коцка – serbų" lang="sr" hreflang="sr" data-title="Коцка" data-language-autonym="Српски / srpski" data-language-local-name="serbų" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-su mw-list-item"><a href="https://su.wikipedia.org/wiki/Kubes" title="Kubes – sundų" lang="su" hreflang="su" data-title="Kubes" data-language-autonym="Sunda" data-language-local-name="sundų" class="interlanguage-link-target"><span>Sunda</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Kub" title="Kub – švedų" lang="sv" hreflang="sv" data-title="Kub" data-language-autonym="Svenska" data-language-local-name="švedų" 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/Mchemraba" title="Mchemraba – suahilių" lang="sw" hreflang="sw" data-title="Mchemraba" data-language-autonym="Kiswahili" data-language-local-name="suahilių" class="interlanguage-link-target"><span>Kiswahili</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%9A%E0%AE%A4%E0%AF%81%E0%AE%B0%E0%AE%AE%E0%AF%8D" title="கனசதுரம் – tamilų" lang="ta" hreflang="ta" data-title="கனசதுரம்" data-language-autonym="தமிழ்" data-language-local-name="tamilų" 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%95%E0%B1%8D%E0%B0%AF%E0%B1%82%E0%B0%AC%E0%B1%8D" title="క్యూబ్ – telugų" lang="te" hreflang="te" data-title="క్యూబ్" data-language-autonym="తెలుగు" data-language-local-name="telugų" class="interlanguage-link-target"><span>తెలుగు</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%97%E0%B8%A3%E0%B8%87%E0%B8%A5%E0%B8%B9%E0%B8%81%E0%B8%9A%E0%B8%B2%E0%B8%A8%E0%B8%81%E0%B9%8C" title="ทรงลูกบาศก์ – tajų" lang="th" hreflang="th" data-title="ทรงลูกบาศก์" data-language-autonym="ไทย" data-language-local-name="tajų" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/K%C3%BCp" title="Küp – turkų" lang="tr" hreflang="tr" data-title="Küp" data-language-autonym="Türkçe" data-language-local-name="turkų" 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%9A%D1%83%D0%B1" title="Куб – ukrainiečių" lang="uk" hreflang="uk" data-title="Куб" data-language-autonym="Українська" data-language-local-name="ukrainiečių" 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/%D9%85%DA%A9%D8%B9%D8%A8" title="مکعب – urdų" lang="ur" hreflang="ur" data-title="مکعب" data-language-autonym="اردو" data-language-local-name="urdų" 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/Kub" title="Kub – uzbekų" lang="uz" hreflang="uz" data-title="Kub" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="uzbekų" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/Kh%E1%BB%91i_l%E1%BA%ADp_ph%C6%B0%C6%A1ng" title="Khối lập phương – vietnamiečių" lang="vi" hreflang="vi" data-title="Khối lập phương" data-language-autonym="Tiếng Việt" data-language-local-name="vietnamiečių" 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/Kubo" title="Kubo – varai" lang="war" hreflang="war" data-title="Kubo" data-language-autonym="Winaray" data-language-local-name="varai" 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/%E7%AB%8B%E6%96%B9%E4%BD%93" title="立方体 – kinų kalbos vu tarmė" lang="wuu" hreflang="wuu" data-title="立方体" data-language-autonym="吴语" data-language-local-name="kinų kalbos vu tarmė" 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/%E7%AB%8B%E6%96%B9%E9%AB%94" title="立方體 – kinų" lang="zh" hreflang="zh" data-title="立方體" data-language-autonym="中文" data-language-local-name="kinų" 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/Chi%C3%A0%E2%81%BF_lio%CC%8Dk-bi%C4%81n-th%C3%A9" title="Chiàⁿ lio̍k-biān-thé – kinų kalbos pietų minų tarmė" lang="nan" hreflang="nan" data-title="Chiàⁿ lio̍k-biān-thé" data-language-autonym="閩南語 / Bân-lâm-gú" data-language-local-name="kinų kalbos pietų minų tarmė" 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/%E6%AD%A3%E6%96%B9%E9%AB%94" title="正方體 – kinų kalbos Kantono tarmė" lang="yue" hreflang="yue" data-title="正方體" data-language-autonym="粵語" data-language-local-name="kinų kalbos Kantono 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class="vector-unpinned-container"> <div id="vector-page-tools" class="vector-page-tools vector-pinnable-element"> <div class="vector-pinnable-header vector-page-tools-pinnable-header vector-pinnable-header-unpinned" data-feature-name="page-tools-pinned" data-pinnable-element-id="vector-page-tools" data-pinned-container-id="vector-page-tools-pinned-container" data-unpinned-container-id="vector-page-tools-unpinned-container" > <div class="vector-pinnable-header-label">Įrankiai</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-page-tools.pin">move to sidebar</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-page-tools.unpin">paslėpti</button> </div> <div id="p-cactions" class="vector-menu mw-portlet mw-portlet-cactions emptyPortlet vector-has-collapsible-items" title="Daugiau nustatymų" > <div 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href="/w/index.php?title=Specialus:CiteThisPage&page=Kubas&id=7391165&wpFormIdentifier=titleform" title="Informacija kaip cituoti šį puslapį"><span>Cituoti straipsnį</span></a></li><li id="t-urlshortener" class="mw-list-item"><a href="/w/index.php?title=Specialus:UrlShortener&url=https%3A%2F%2Flt.wikipedia.org%2Fwiki%2FKubas"><span>Gauti sutrumpintą URL nuorodą</span></a></li><li id="t-urlshortener-qrcode" class="mw-list-item"><a href="/w/index.php?title=Specialus:QrCode&url=https%3A%2F%2Flt.wikipedia.org%2Fwiki%2FKubas"><span>Atsisiųsti QR kodą</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"> Spausdinti/eksportuoti </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=Specialus:Book&bookcmd=book_creator&referer=Kubas"><span>Kurti knygą</span></a></li><li id="coll-download-as-rl" class="mw-list-item"><a href="/w/index.php?title=Specialus:DownloadAsPdf&page=Kubas&action=show-download-screen"><span>Parsisiųsti kaip PDF</span></a></li><li id="t-print" class="mw-list-item"><a href="/w/index.php?title=Kubas&printable=yes" title="Šio puslapio versija spausdinimui [p]" accesskey="p"><span>Versija spausdinimui</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"> Kituose projektuose </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:Cube" hreflang="en"><span>Vikiteka</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/Q812880" title="Nuoroda į susietą duomenų saugyklos įrašą [g]" accesskey="g"><span>Vikiduomenys įrašas</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="Page tools"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="Išvaizda"> <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">Išvaizda</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">move to sidebar</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">paslėpti</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">Straipsnis iš Vikipedijos, laisvosios enciklopedijos.</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="lt" dir="ltr"><table class="toccolours" style="float:right; margin: 0 0 1em 1em;" width="280"> <tbody><tr> <th style="background-color:#e7dcc3" colspan="2">Taisyklingas heksaedras (kubas) </th></tr> <tr> <td style="text-align:center;" colspan="2"><span typeof="mw:File"><a href="/wiki/Vaizdas:Hexahedron.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/7/78/Hexahedron.jpg/280px-Hexahedron.jpg" decoding="async" width="280" height="312" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/78/Hexahedron.jpg/420px-Hexahedron.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/78/Hexahedron.jpg/560px-Hexahedron.jpg 2x" data-file-width="742" data-file-height="826" /></a></span><br /><a href="/wiki/Vaizdas:Hexahedron.gif" title="Vaizdas:Hexahedron.gif">(Čia spustelėjus, suksis)</a> </td></tr> <tr> <td style="background-color:#e7dcc3" width="110"><b>Tipas</b></td> <td><a href="/wiki/Platono_k%C5%ABnas" title="Platono kūnas">Platono kūnas</a> </td></tr> <tr> <td style="background-color:#e7dcc3"><b><a href="/wiki/Oilerio_charakteristika" title="Oilerio charakteristika">Elementai</a></b></td> <td><i>F</i> = 6, <i>E</i> = 12<br /><i>V</i> = 8 (χ = 2) </td></tr> <tr> <td style="background-color:#e7dcc3"><b>Sienos pagal puses</b></td> <td>6{4} </td></tr> <tr> <td style="background-color:#e7dcc3"><b>Konvėjaus užrašas</b></td> <td>C </td></tr> <tr> <td rowspan="2" style="background-color:#e7dcc3"><b><a href="/w/index.php?title=%C5%A0l%C4%97fli_simbolis&action=edit&redlink=1" class="new" title="Šlėfli simbolis (puslapis neegzistuoja)">Šlėfli simbolis</a></b></td> <td>{4,3} </td></tr> <tr> <td>{4}×{}, {}×{}×{} </td></tr> <tr> <td style="background-color:#e7dcc3"><b><a href="/w/index.php?title=Vithofo_simbolis&action=edit&redlink=1" class="new" title="Vithofo simbolis (puslapis neegzistuoja)">Vithofo simbolis</a></b></td> <td>3 | 2 4 </td></tr> <tr> <td style="background-color:#e7dcc3"><b><a href="/w/index.php?title=Kokseterio_diagrama&action=edit&redlink=1" class="new" title="Kokseterio diagrama (puslapis neegzistuoja)">Kokseterio diagrama</a></b></td> <td><span style="display:inline-block;"><span class="mw-default-size" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/b/bd/CDel_node_1.png" decoding="async" width="9" height="23" class="mw-file-element" data-file-width="9" data-file-height="23" /></span></span><span class="mw-default-size" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/8/8c/CDel_4.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span><span class="mw-default-size" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png" decoding="async" width="6" height="23" class="mw-file-element" data-file-width="6" data-file-height="23" /></span></span><span class="mw-default-size" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png" decoding="async" width="5" height="23" class="mw-file-element" data-file-width="5" data-file-height="23" /></span></span></span> </td></tr> <tr> <td style="background-color:#e7dcc3"><b><a href="/wiki/Simetrija" title="Simetrija">Simetrija</a></b></td> <td><a href="/w/index.php?title=Oktaedrin%C4%97_simetrija&action=edit&redlink=1" class="new" title="Oktaedrinė simetrija (puslapis neegzistuoja)">O<sub>h</sub></a>, BC<sub>3</sub>, [4,3], (*432) </td></tr> <tr> <td style="background-color:#e7dcc3"><b><a href="/w/index.php?title=Sukinio_grup%C4%97&action=edit&redlink=1" class="new" title="Sukinio grupė (puslapis neegzistuoja)">Sukinio grupė</a></b></td> <td><a href="/w/index.php?title=Oktaedrin%C4%97_simetrija&action=edit&redlink=1" class="new" title="Oktaedrinė simetrija (puslapis neegzistuoja)">O</a>, [4,3]<sup>+</sup>, (432) </td></tr> <tr> <td style="background-color:#e7dcc3"><b><a href="/wiki/Tolygusis_briaunainis" title="Tolygusis briaunainis">Indeksai</a></b></td> <td><a href="/wiki/Tolygusis_briaunainis" title="Tolygusis briaunainis">U</a><sub>06</sub>, <a href="/w/index.php?title=Kokseterio_grup%C4%97&action=edit&redlink=1" class="new" title="Kokseterio grupė (puslapis neegzistuoja)">C</a><sub>18</sub>, <a href="/w/index.php?title=Veningerio_briaunani%C5%B3_modeli%C5%B3_s%C4%85ra%C5%A1as&action=edit&redlink=1" class="new" title="Veningerio briaunanių modelių sąrašas (puslapis neegzistuoja)">W</a><sub>3</sub> </td></tr> <tr> <td style="background-color:#e7dcc3"><b>Savybės</b></td> <td><a href="/wiki/Taisyklingasis_briaunainis" title="Taisyklingasis briaunainis">taisyklingas</a> <a href="/w/index.php?title=I%C5%A1kilas_briaunainis&action=edit&redlink=1" class="new" title="Iškilas briaunainis (puslapis neegzistuoja)">iškilas</a> <a href="/w/index.php?title=Zonoedras&action=edit&redlink=1" class="new" title="Zonoedras (puslapis neegzistuoja)">zonoedras</a> </td></tr> <tr> <td style="background-color:#e7dcc3"><b>Dvisienis kampas</b></td> <td>90° </td></tr> <tr> <td style="vertical-align:top;text-align:center;"><span typeof="mw:File"><a href="/wiki/Vaizdas:Cube_vertfig.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/a/aa/Cube_vertfig.png/100px-Cube_vertfig.png" decoding="async" width="100" height="100" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/aa/Cube_vertfig.png/150px-Cube_vertfig.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/aa/Cube_vertfig.png/200px-Cube_vertfig.png 2x" data-file-width="600" data-file-height="600" /></a></span><br />4.4.4<br />(Viršūnės planas) </td> <td style="vertical-align:top;text-align:center;"><span typeof="mw:File"><a href="/wiki/Vaizdas:Octahedron_(vector).svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/6/64/Octahedron_%28vector%29.svg/120px-Octahedron_%28vector%29.svg.png" decoding="async" width="120" height="125" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/64/Octahedron_%28vector%29.svg/180px-Octahedron_%28vector%29.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/64/Octahedron_%28vector%29.svg/240px-Octahedron_%28vector%29.svg.png 2x" data-file-width="480" data-file-height="500" /></a></span><br /><a href="/wiki/Oktaedras" title="Oktaedras">Oktaedras</a><br />(<a href="/wiki/Dualus_briaunainis" title="Dualus briaunainis">dualus briaunainis</a>) </td></tr> <tr> <td style="text-align:center;" colspan="2"><span typeof="mw:File"><a href="/wiki/Vaizdas:Hexahedron_flat_color.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/c/cf/Hexahedron_flat_color.svg/240px-Hexahedron_flat_color.svg.png" decoding="async" width="240" height="314" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/cf/Hexahedron_flat_color.svg/360px-Hexahedron_flat_color.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/cf/Hexahedron_flat_color.svg/480px-Hexahedron_flat_color.svg.png 2x" data-file-width="171" data-file-height="224" /></a></span><br /><a href="/w/index.php?title=I%C5%A1klotin%C4%97_(briaunaniai)&action=edit&redlink=1" class="new" title="Išklotinė (briaunaniai) (puslapis neegzistuoja)">Išklotinė</a> </td></tr></tbody></table> <dl><dd><div class="dablink" style="font-size: 90%;"><span typeof="mw:File"><a href="/wiki/Vaizdas:Disambig.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/7/72/Disambig.svg/15px-Disambig.svg.png" decoding="async" width="15" height="12" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/72/Disambig.svg/23px-Disambig.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/72/Disambig.svg/30px-Disambig.svg.png 2x" data-file-width="230" data-file-height="183" /></a></span> <i>Šis straipsnis apie geometrinę figūrą. Apie filmą skaitykite straipsnyje <a href="/wiki/Kubas_(filmas)" title="Kubas (filmas)">Kubas (filmas)</a>.</i></div></dd></dl> <p><b>Kubas</b> – trimatė vientisa <a href="/wiki/Geometrin%C4%97_fig%C5%ABra" title="Geometrinė figūra">geometrinė figūra</a>, sudaryta iš šešių <a href="/wiki/Kvadratas" title="Kvadratas">kvadratų</a>. Visos kubo <a href="/wiki/Kra%C5%A1tin%C4%97" title="Kraštinė">kraštinės</a> yra lygios. Kubas yra vienas iš penkių <a href="/wiki/Platono_k%C5%ABnas" title="Platono kūnas">Platono kūnų</a> – taisyklingųjų iškilųjų <a href="/wiki/Briaunainis" title="Briaunainis">briaunainių</a>. </p><p>Jei <a href="/w/index.php?title=Briauna&action=edit&redlink=1" class="new" title="Briauna (puslapis neegzistuoja)">briaunos</a> ilgis yra <b>a</b>, vienos kubo <a href="/wiki/Siena" class="mw-disambig" title="Siena">sienos</a> plotas yra lygus <b><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^{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a^{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f564e5dc0b6e68af32ca8614e972f5b36e944a24" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.284ex; height:2.676ex;" alt="{\displaystyle a^{2}}" /></span></b>, visą paviršiaus plotą sudaro šešios sienos – <b><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 6a^{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>6</mn> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 6a^{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/abd1d7935383caf99e3aece9d1eb41f91a2691f9" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.447ex; height:2.676ex;" alt="{\displaystyle 6a^{2}}" /></span></b>, tūris – <b><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^{3}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a^{3}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/abd83c98f7301a720f69dd6d4043461e4cc83daa" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.284ex; height:2.676ex;" alt="{\displaystyle a^{3}}" /></span></b>. </p><p>Kubo <a href="/wiki/%C4%AEstri%C5%BEain%C4%97" title="Įstrižainė">įstrižainės</a> ilgis tarp artimiausių viršūnių lygus <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 c={\sqrt {2a^{2}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>c</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>2</mn> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </msqrt> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle c={\sqrt {2a^{2}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/42868875f00d99c37324096eb2f5a54509bdbe66" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:9.876ex; height:3.343ex;" alt="{\displaystyle c={\sqrt {2a^{2}}}}" /></span>, kur a – kubo kraštinės ilgis, o c – <a href="/wiki/Kvadratas" title="Kvadratas">kvadrato</a> įstrižainės ilgis. </p><p>Kubo įstrižainės ilgis tarp dviejų labiausiai vienas nuo kito nutolusių <a href="/wiki/Kampas" title="Kampas">kampų</a> lygus <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 c={\sqrt {3a^{2}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>c</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>3</mn> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </msqrt> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle c={\sqrt {3a^{2}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c81fde68225c7c98da14dcc7e6b10338b37d2f9f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:9.876ex; height:3.343ex;" alt="{\displaystyle c={\sqrt {3a^{2}}}}" /></span>, kur a – kubo kraštinės ilgis, o c – kubo įstrižainės ilgis. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Formulės"><span id="Formul.C4.97s"></span>Formulės</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Kubas&veaction=edit&section=1" title="Redaguoti skyrelį: Formulės" class="mw-editsection-visualeditor"><span>redaguoti</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Kubas&action=edit&section=1" title="Edit section's source code: Formulės"><span>redaguoti vikitekstą</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Žemiau pateiktose formulėse <i>a</i> yra kubo kraštinės ilgis. </p> <table class="wikitable"> <tbody><tr> <th>Dydis</th> <th>Formulė </th></tr> <tr> <td>Kubo <a href="/wiki/T%C5%ABris" title="Tūris">tūris</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 V=a^{3}\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>V</mi> <mo>=</mo> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> <mspace width="thinmathspace"></mspace> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle V=a^{3}\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8190db0d682a966215231c1441b4a7fb7f795f2d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:7.557ex; height:2.676ex;" alt="{\displaystyle V=a^{3}\,}" /></span> </td></tr> <tr> <td>Kubo paviršiaus <a href="/wiki/Plotas" title="Plotas">plotas</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 S=6a^{2}\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>S</mi> <mo>=</mo> <mn>6</mn> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mspace width="thinmathspace"></mspace> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle S=6a^{2}\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/53556248c567e465e10323fa8766450e3a2986b1" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:8.431ex; height:2.676ex;" alt="{\displaystyle S=6a^{2}\,}" /></span> </td></tr> <tr> <td>Ilgiausios kubo <a href="/wiki/%C4%AEstri%C5%BEain%C4%97" title="Įstrižainė">įstrižainės</a> ilgis</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 d={\sqrt {3}}a}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>d</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>3</mn> </msqrt> </mrow> <mi>a</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle d={\sqrt {3}}a}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/79277b009989aacaac7ac6f6bdab8c0c555bf3e1" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:8.642ex; height:2.843ex;" alt="{\displaystyle d={\sqrt {3}}a}" /></span> </td></tr> <tr> <td>Apibrėžtos <a href="/wiki/Sfera" title="Sfera">sferos</a> spindulys</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={\frac {d}{2}}={\frac {\sqrt {3}}{2}}a}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>R</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>d</mi> <mn>2</mn> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msqrt> <mn>3</mn> </msqrt> <mn>2</mn> </mfrac> </mrow> <mi>a</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle R={\frac {d}{2}}={\frac {\sqrt {3}}{2}}a}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e7412808f6b5ccac4d47c7ddcb1dce91fbffadd1" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:15.177ex; height:5.843ex;" alt="{\displaystyle R={\frac {d}{2}}={\frac {\sqrt {3}}{2}}a}" /></span> </td></tr> <tr> <td>Įbrėžtos sferos spindulys</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={\frac {a}{2}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>r</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>a</mi> <mn>2</mn> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle r={\frac {a}{2}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/808d93b47f31d9ccdac78b5494d9dbbb2dbd1259" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:6.213ex; height:4.676ex;" alt="{\displaystyle r={\frac {a}{2}}}" /></span> </td></tr></tbody></table> <div class="mw-heading mw-heading2"><h2 id="Kubo_įstrižainė"><span id="Kubo_.C4.AFstri.C5.BEain.C4.97"></span>Kubo įstrižainė</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Kubas&veaction=edit&section=2" title="Redaguoti skyrelį: Kubo įstrižainė" class="mw-editsection-visualeditor"><span>redaguoti</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Kubas&action=edit&section=2" title="Edit section's source code: Kubo įstrižainė"><span>redaguoti vikitekstą</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/Vaizdas:Cube_diagonals.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/5/57/Cube_diagonals.svg/220px-Cube_diagonals.svg.png" decoding="async" width="220" height="212" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/57/Cube_diagonals.svg/330px-Cube_diagonals.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/57/Cube_diagonals.svg/440px-Cube_diagonals.svg.png 2x" data-file-width="275" data-file-height="265" /></a><figcaption>Atkarpa <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 {\overline {AC'}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mrow> <mi>A</mi> <msup> <mi>C</mi> <mo>′</mo> </msup> </mrow> <mo accent="false">¯</mo> </mover> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\overline {AC'}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/33d00d8ea036abbb4aac39503c46203a859d7038" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:4.341ex; height:3.176ex;" alt="{\displaystyle {\overline {AC'}}}" /></span> - kubo įstrižainė.</figcaption></figure> <p>Kubo įstrižainės ilgį galima apskaičiuoti naudojant <a href="/wiki/Pitagoro_teorema" title="Pitagoro teorema">Pitagoro teoremą</a>, užtenka žinoti vienos kubo kraštinės (briaunos) ilgį. </p><p>Taigi pagal Pitagoro teoremą: </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 a^{2}+a^{2}=({\overline {AC}})^{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>=</mo> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <mover> <mrow> <mi>A</mi> <mi>C</mi> </mrow> <mo accent="false">¯</mo> </mover> </mrow> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a^{2}+a^{2}=({\overline {AC}})^{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/268b39dc9d6daa1bb3afffc7bd34cac8498ea958" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:17.063ex; height:3.509ex;" alt="{\displaystyle a^{2}+a^{2}=({\overline {AC}})^{2}}" /></span></dd></dl> <p>čia <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> - kubo kraštinė, <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 {\overline {AC}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mrow> <mi>A</mi> <mi>C</mi> </mrow> <mo accent="false">¯</mo> </mover> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\overline {AC}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ea69bf8ccc972402f794c261e00b222f396bcce3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.692ex; height:3.009ex;" alt="{\displaystyle {\overline {AC}}}" /></span> - viena iš kubo sienos įstrižainių. Iš teoremos seka: </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 a^{2}+a^{2}=({\overline {AC}})^{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>=</mo> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <mover> <mrow> <mi>A</mi> <mi>C</mi> </mrow> <mo accent="false">¯</mo> </mover> </mrow> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a^{2}+a^{2}=({\overline {AC}})^{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/268b39dc9d6daa1bb3afffc7bd34cac8498ea958" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:17.063ex; height:3.509ex;" alt="{\displaystyle a^{2}+a^{2}=({\overline {AC}})^{2}}" /></span></dd> <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 \Rightarrow 2a^{2}=({\overline {AC}})^{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">⇒</mo> <mn>2</mn> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>=</mo> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <mover> <mrow> <mi>A</mi> <mi>C</mi> </mrow> <mo accent="false">¯</mo> </mover> </mrow> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \Rightarrow 2a^{2}=({\overline {AC}})^{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/36bd8dced5ed5bad3f2fb67fd1dc603630eedf69" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:16.07ex; height:3.509ex;" alt="{\displaystyle \Rightarrow 2a^{2}=({\overline {AC}})^{2}}" /></span></dd> <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 \Rightarrow {\sqrt {2a^{2}}}={\sqrt {({\overline {AC}})^{2}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">⇒</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>2</mn> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </msqrt> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <mover> <mrow> <mi>A</mi> <mi>C</mi> </mrow> <mo accent="false">¯</mo> </mover> </mrow> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </msqrt> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \Rightarrow {\sqrt {2a^{2}}}={\sqrt {({\overline {AC}})^{2}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0b52065830818feabaa9518e7becdb881f47ea41" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.505ex; width:20.717ex; height:4.843ex;" alt="{\displaystyle \Rightarrow {\sqrt {2a^{2}}}={\sqrt {({\overline {AC}})^{2}}}}" /></span></dd> <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 \Rightarrow a{\sqrt {2}}={\overline {AC}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">⇒</mo> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>2</mn> </msqrt> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mover> <mrow> <mi>A</mi> <mi>C</mi> </mrow> <mo accent="false">¯</mo> </mover> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \Rightarrow a{\sqrt {2}}={\overline {AC}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d57771652e8c5f6df496b833454e869a75860b29" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:14.088ex; height:3.343ex;" alt="{\displaystyle \Rightarrow a{\sqrt {2}}={\overline {AC}}}" /></span></dd></dl> <p>Vėl pritaikius Pitagoro teoremą: </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 a^{2}+({\overline {AC}})^{2}=({\overline {AC'}})^{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <mover> <mrow> <mi>A</mi> <mi>C</mi> </mrow> <mo accent="false">¯</mo> </mover> </mrow> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>=</mo> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <mover> <mrow> <mi>A</mi> <msup> <mi>C</mi> <mo>′</mo> </msup> </mrow> <mo accent="false">¯</mo> </mover> </mrow> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a^{2}+({\overline {AC}})^{2}=({\overline {AC'}})^{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2062ffb555a049c8a7b8746e9c93e93260b9597a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:21.983ex; height:3.676ex;" alt="{\displaystyle a^{2}+({\overline {AC}})^{2}=({\overline {AC'}})^{2}}" /></span></dd></dl> <p>čia <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 {\overline {AC'}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mrow> <mi>A</mi> <msup> <mi>C</mi> <mo>′</mo> </msup> </mrow> <mo accent="false">¯</mo> </mover> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\overline {AC'}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/33d00d8ea036abbb4aac39503c46203a859d7038" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:4.341ex; height:3.176ex;" alt="{\displaystyle {\overline {AC'}}}" /></span> - ieškoma kubo įstrižainė, įsistatoma anksčiau apskaičiuota <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 {\overline {AC}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mrow> <mi>A</mi> <mi>C</mi> </mrow> <mo accent="false">¯</mo> </mover> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\overline {AC}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ea69bf8ccc972402f794c261e00b222f396bcce3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.692ex; height:3.009ex;" alt="{\displaystyle {\overline {AC}}}" /></span> vertė <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{\sqrt {2}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>2</mn> </msqrt> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a{\sqrt {2}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/04f5c1e0c6480a9d660cc0e67063dfc3b872654a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:4.328ex; height:3.009ex;" alt="{\displaystyle a{\sqrt {2}}}" /></span>: </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 a^{2}+({\overline {AC}})^{2}=({\overline {AC'}})^{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <mover> <mrow> <mi>A</mi> <mi>C</mi> </mrow> <mo accent="false">¯</mo> </mover> </mrow> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>=</mo> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <mover> <mrow> <mi>A</mi> <msup> <mi>C</mi> <mo>′</mo> </msup> </mrow> <mo accent="false">¯</mo> </mover> </mrow> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a^{2}+({\overline {AC}})^{2}=({\overline {AC'}})^{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2062ffb555a049c8a7b8746e9c93e93260b9597a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:21.983ex; height:3.676ex;" alt="{\displaystyle a^{2}+({\overline {AC}})^{2}=({\overline {AC'}})^{2}}" /></span></dd> <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 \Rightarrow a^{2}+{\Big (}{a{\sqrt {2}}}{\Big )}^{2}=({\overline {AC'}})^{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">⇒</mo> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mo maxsize="1.623em" minsize="1.623em">(</mo> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>2</mn> </msqrt> </mrow> </mrow> <msup> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mo maxsize="1.623em" minsize="1.623em">)</mo> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>=</mo> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <mover> <mrow> <mi>A</mi> <msup> <mi>C</mi> <mo>′</mo> </msup> </mrow> <mo accent="false">¯</mo> </mover> </mrow> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \Rightarrow a^{2}+{\Big (}{a{\sqrt {2}}}{\Big )}^{2}=({\overline {AC'}})^{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/fce643f270d639ed09f54cd04c5206cfc103e133" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:26.554ex; height:5.176ex;" alt="{\displaystyle \Rightarrow a^{2}+{\Big (}{a{\sqrt {2}}}{\Big )}^{2}=({\overline {AC'}})^{2}}" /></span></dd> <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 \Rightarrow a^{2}+2a^{2}=({\overline {AC'}})^{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">⇒</mo> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <mn>2</mn> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>=</mo> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <mover> <mrow> <mi>A</mi> <msup> <mi>C</mi> <mo>′</mo> </msup> </mrow> <mo accent="false">¯</mo> </mover> </mrow> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \Rightarrow a^{2}+2a^{2}=({\overline {AC'}})^{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6a35d9c713b760f3ccf86f3415bafa75f59c37b8" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:21.842ex; height:3.676ex;" alt="{\displaystyle \Rightarrow a^{2}+2a^{2}=({\overline {AC'}})^{2}}" /></span></dd> <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 \Rightarrow 3a^{2}=({\overline {AC'}})^{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">⇒</mo> <mn>3</mn> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>=</mo> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <mover> <mrow> <mi>A</mi> <msup> <mi>C</mi> <mo>′</mo> </msup> </mrow> <mo accent="false">¯</mo> </mover> </mrow> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \Rightarrow 3a^{2}=({\overline {AC'}})^{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/17c0a5b2b78365725eb5222d3f61a5a62b42b0b9" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:16.718ex; height:3.676ex;" alt="{\displaystyle \Rightarrow 3a^{2}=({\overline {AC'}})^{2}}" /></span></dd> <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 \Rightarrow {\sqrt {3a^{2}}}={\sqrt {({\overline {AC'}})^{2}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">⇒</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>3</mn> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </msqrt> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mo stretchy="false">(</mo> <mrow class="MJX-TeXAtom-ORD"> <mover> <mrow> <mi>A</mi> <msup> <mi>C</mi> <mo>′</mo> </msup> </mrow> <mo accent="false">¯</mo> </mover> </mrow> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </msqrt> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \Rightarrow {\sqrt {3a^{2}}}={\sqrt {({\overline {AC'}})^{2}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e08f22e2d3249f0d1ad4bf768422812eca75f6a2" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:21.366ex; height:4.843ex;" alt="{\displaystyle \Rightarrow {\sqrt {3a^{2}}}={\sqrt {({\overline {AC'}})^{2}}}}" /></span></dd> <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 \Rightarrow a{\sqrt {3}}={\overline {AC'}}.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">⇒</mo> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>3</mn> </msqrt> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mover> <mrow> <mi>A</mi> <msup> <mi>C</mi> <mo>′</mo> </msup> </mrow> <mo accent="false">¯</mo> </mover> </mrow> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \Rightarrow a{\sqrt {3}}={\overline {AC'}}.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/47a0987c2c3f66469d65495f222edd903f36a88c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:15.383ex; height:3.509ex;" alt="{\displaystyle \Rightarrow a{\sqrt {3}}={\overline {AC'}}.}" /></span></dd></dl> <p>Vadinasi, kubo įstrižainės ilgis yra <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{\sqrt {3}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>3</mn> </msqrt> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a{\sqrt {3}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c265627f35e18499654722022d0dee669febfe19" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:4.328ex; height:2.843ex;" alt="{\displaystyle a{\sqrt {3}}}" /></span>. </p> <div class="mw-heading mw-heading2"><h2 id="Išklotinės"><span id="I.C5.A1klotin.C4.97s"></span>Išklotinės</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Kubas&veaction=edit&section=3" title="Redaguoti skyrelį: Išklotinės" class="mw-editsection-visualeditor"><span>redaguoti</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Kubas&action=edit&section=3" title="Edit section's source code: Išklotinės"><span>redaguoti vikitekstą</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure typeof="mw:File/Thumb"><a href="/wiki/Vaizdas:Planificacao_cubo.gif" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Planificacao_cubo.gif/502px-Planificacao_cubo.gif" decoding="async" width="502" height="228" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4d/Planificacao_cubo.gif/753px-Planificacao_cubo.gif 1.5x, //upload.wikimedia.org/wikipedia/commons/4/4d/Planificacao_cubo.gif 2x" data-file-width="776" data-file-height="352" /></a><figcaption>Kubo išklotinės</figcaption></figure> <p>Iš viso kubas turi 11 skirtingų išklotinių.<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> Tai reiškia, kad yra 11 būdų, kaip išskleisti tuščiavidurį ant plokštumos, atlikus 7 jo briaunų pjūvius. Likusios 5 neatpjautos kraštines jungia 6 kvadratus plokštumoje. </p> <div class="mw-heading mw-heading2"><h2 id="Hiperkubas">Hiperkubas</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Kubas&veaction=edit&section=4" title="Redaguoti skyrelį: Hiperkubas" class="mw-editsection-visualeditor"><span>redaguoti</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Kubas&action=edit&section=4" title="Edit section's source code: Hiperkubas"><span>redaguoti vikitekstą</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure typeof="mw:File/Thumb"><a href="/wiki/Vaizdas:From_Point_to_Tesseract_(Looped_Version).gif" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/d/d9/From_Point_to_Tesseract_%28Looped_Version%29.gif/160px-From_Point_to_Tesseract_%28Looped_Version%29.gif" decoding="async" width="160" height="160" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/d9/From_Point_to_Tesseract_%28Looped_Version%29.gif/240px-From_Point_to_Tesseract_%28Looped_Version%29.gif 1.5x, //upload.wikimedia.org/wikipedia/commons/d/d9/From_Point_to_Tesseract_%28Looped_Version%29.gif 2x" data-file-width="256" data-file-height="256" /></a><figcaption>Animacija, vaizduojanti pirmųjų keturių hiperkubų formavimąsi kaip kiekvieno išplėtimą į sekančią <a href="/wiki/Dimensija" title="Dimensija">dimensiją</a>.</figcaption></figure> <p>Kalbant apie n-matę erdvę yra vartojama <a href="/w/index.php?title=Hiperkubas&action=edit&redlink=1" class="new" title="Hiperkubas (puslapis neegzistuoja)">hiperkubo</a> (n-kubo) sąvoka. Pagal matmenų skaičių hiperkubai vadinami taip: </p> <ul><li><a href="/wiki/Ta%C5%A1kas_(geometrija)" title="Taškas (geometrija)">taškas</a> (0 matmenų)</li> <li><a href="/wiki/Ties%C4%97" title="Tiesė">tiesė</a> (1 matmuo)</li> <li><a href="/wiki/Kvadratas" title="Kvadratas">kvadratas</a> (2 matmenys)</li> <li>kubas (3 matmenys)</li> <li><a href="/wiki/Teseraktas" title="Teseraktas">teseraktas</a> (4 matmenys)</li> <li>penteraktas (5 matmenys)</li></ul> <div class="mw-heading mw-heading2"><h2 id="Kubo_dvigubinimas">Kubo dvigubinimas</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Kubas&veaction=edit&section=5" title="Redaguoti skyrelį: Kubo dvigubinimas" class="mw-editsection-visualeditor"><span>redaguoti</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Kubas&action=edit&section=5" title="Edit section's source code: Kubo dvigubinimas"><span>redaguoti vikitekstą</span></a><span class="mw-editsection-bracket">]</span></span></div> <dl><dd><div class="noprint relarticle mainarticle"><i>Pagrindinis straipsnis – <a href="/wiki/Kubo_dvigubinimas" title="Kubo dvigubinimas">Kubo dvigubinimas</a></i>.</div></dd></dl> <p>Kubo padvigubinimas – geometrinė užduotis sukonstruoti antrą kubą tam tikram kubui, kurio tūris yra dvigubai didesnis nei pirmojo kubo tūris. Išspręsti problemą tik su <a href="/wiki/Skriestuvas" class="mw-disambig" title="Skriestuvas">skriestuvu</a> ir <a href="/wiki/Liniuot%C4%97" title="Liniuotė">liniuote</a> - neįmanoma, tai buvo įrodyta 1837 m. Naudojant papildomas pagalbines priemones, pavyzdžiui, sužymėtą liniuotę arba specialias kreives, galima sukonstruoti dvigubai didesnio tūrio kubą. </p> <div class="mw-heading mw-heading2"><h2 id="Praktinis_panaudojimas">Praktinis panaudojimas</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Kubas&veaction=edit&section=6" title="Redaguoti skyrelį: Praktinis panaudojimas" class="mw-editsection-visualeditor"><span>redaguoti</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Kubas&action=edit&section=6" title="Edit section's source code: Praktinis panaudojimas"><span>redaguoti vikitekstą</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/Vaizdas:Dice01.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/6/62/Dice01.jpg" decoding="async" width="155" height="219" class="mw-file-element" data-file-width="155" data-file-height="219" /></a><figcaption>Įvairūs kubo formos lošimo kauliukai: vakarietiško stiliaus, azijietiško stiliaus ir kazino kauliukai</figcaption></figure> <p>Kubo formos kauliukai (<a href="/wiki/Lo%C5%A1imo_kauliukas" title="Lošimo kauliukas">lošimo kauliukai</a>) dažnai yra naudojami daugelyje stalo, vaidmenų ir azartiniuose žaidimuose generuojant atsitiktinius skaičius. Šiame kontekste kubas dar gali būti vadinamas <i>d6</i>, o tai reiškia, kad jis turi šešias sienas. </p><p>Gerai žinomas kubo formos galvosūkis yra <a href="/wiki/Rubiko_kubas" title="Rubiko kubas">Rubiko kubas</a>. </p> <div class="mw-heading mw-heading2"><h2 id="Šaltiniai"><span id=".C5.A0altiniai"></span>Šaltiniai</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Kubas&veaction=edit&section=7" title="Redaguoti skyrelį: Šaltiniai" class="mw-editsection-visualeditor"><span>redaguoti</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Kubas&action=edit&section=7" title="Edit section's source code: Šaltiniai"><span>redaguoti vikitekstą</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="references-small" style="list-style-type: decimal;"> <ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><a href="#cite_ref-1">↑</a></span> <span class="reference-text"><style data-mw-deduplicate="TemplateStyles:r7182515">.mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}.mw-parser-output .id-lock-free a,.mw-parser-output .citation .cs1-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/6/65/Lock-green.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-limited a,.mw-parser-output .id-lock-registration a,.mw-parser-output .citation .cs1-lock-limited a,.mw-parser-output .citation .cs1-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/d/d6/Lock-gray-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-subscription a,.mw-parser-output .citation .cs1-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/a/aa/Lock-red-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .cs1-ws-icon a{background:url("//upload.wikimedia.org/wikipedia/commons/4/4c/Wikisource-logo.svg")right 0.1em center/12px no-repeat}.mw-parser-output .cs1-code{color:inherit;background:inherit;border:none;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;color:#d33}.mw-parser-output .cs1-visible-error{color:#d33}.mw-parser-output .cs1-maint{display:none;color:#3a3;margin-left:0.3em}.mw-parser-output .cs1-format{font-size:95%}.mw-parser-output .cs1-kern-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}</style><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://demonstrations.wolfram.com/All11FoldingNetsOfTheCube/">„All 11 Folding Nets of the Cube“</a>. <i>demonstrations.wolfram.com</i><span class="reference-accessdate">. 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