{"id":13533,"date":"2018-02-08T22:19:39","date_gmt":"2018-02-08T22:19:39","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=13533"},"modified":"2022-01-16T16:44:56","modified_gmt":"2022-01-16T16:44:56","slug":"13533","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=13533","title":{"rendered":"Um cubo e uma pir\u00e2mide"},"content":{"rendered":"<p><ul id='GTTabs_ul_13533' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_13533' class='GTTabs_curr'><a  id=\"13533_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_13533' ><a  id=\"13533_1\" onMouseOver=\"GTTabsShowLinks('Resolu\u00e7\u00e3o'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Resolu\u00e7\u00e3o<\/a><\/li>\n<\/ul>\n\n<div class='GTTabs_divs GTTabs_curr_div' id='GTTabs_0_13533'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/02\/9V2Pag019-7.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"13534\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=13534\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/02\/9V2Pag019-7.png\" data-orig-size=\"270,215\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"Cubo\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/02\/9V2Pag019-7.png\" class=\"alignright size-full wp-image-13534\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/02\/9V2Pag019-7.png\" alt=\"\" width=\"270\" height=\"215\" \/><\/a>Na figura est\u00e3o representados um cubo e uma pir\u00e2mide cuja base \u00e9 uma face do cubo e cujo v\u00e9rtice V \u00e9 o centro do cubo.<\/p>\n<ol>\n<li>Quanto mede a altura da pir\u00e2mide?<\/li>\n<li>Calcula o volume do cubo, V<sub>C<\/sub>, e o volume da pir\u00e2mide, V<sub>P<\/sub>.<\/li>\n<li>Calcula \\(\\frac{{{V_P}}}{{{V_C}}}\\).<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_13533' onClick='GTTabs_show(1,13533)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_13533'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<ol>\n<li><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/02\/9V2Pag019-7.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"13534\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=13534\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/02\/9V2Pag019-7.png\" data-orig-size=\"270,215\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"Cubo\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/02\/9V2Pag019-7.png\" class=\"alignright size-full wp-image-13534\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/02\/9V2Pag019-7.png\" alt=\"\" width=\"270\" height=\"215\" \/><\/a>A altura da pir\u00e2mide \u00e9 metade da aresta do cubo, por isso mede 5 cm.<br \/>\n\u00ad<\/li>\n<li>O volume do cubo \u00e9\u00a0\\({V_C} = {10^3} = 1000\\) cm<sup>3<\/sup>.<br \/>\nO volume da pir\u00e2mide \u00e9 \\({V_P} = \\frac{1}{3} \\times {10^2} \\times 5 = \\frac{{500}}{3}\\) cm<sup>3<\/sup>.<br \/>\n\u00ad<\/li>\n<li>Ora,\u00a0\\(\\frac{{{V_P}}}{{{V_C}}} = \\frac{{\\frac{{500}}{3}}}{{1000}} = \\frac{{500}}{3} \\times \\frac{1}{{1000}} = \\frac{1}{6}\\).<\/li>\n<\/ol>\n<p>\u00ad<\/p>\n<p>\u00ad<\/p>\n<p><style>.embed-container { position: relative; padding-bottom: 56.25%; height: 0; overflow: hidden; max-width: 100%; } .embed-container iframe, .embed-container object, .embed-container embed { position: absolute; top: 0; left: 0; width: 100%; height: 100%; }<\/style><div class=\"embed-container\"><iframe src=\"https:\/\/www.youtube.com\/embed\/lugscQDzDl8\" frameborder=\"0\" allowfullscreen=\"\"><\/iframe><\/div><\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_13533' onClick='GTTabs_show(0,13533)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Na figura est\u00e3o representados um cubo e uma pir\u00e2mide cuja base \u00e9 uma face do cubo e cujo v\u00e9rtice V \u00e9 o centro do cubo. Quanto mede a altura da pir\u00e2mide?&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":20383,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[213,97,466],"tags":[426,471,468,109],"series":[],"class_list":["post-13533","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-9--ano","category-aplicando","category-distancias-areas-e-volumes-de-solidos","tag-9-o-ano","tag-piramide","tag-prisma","tag-volume"],"views":1943,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/02\/9V2Pag019-7_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/13533","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=13533"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/13533\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/20383"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=13533"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=13533"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=13533"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=13533"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}