{"id":13528,"date":"2018-02-08T20:10:50","date_gmt":"2018-02-08T20:10:50","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=13528"},"modified":"2022-01-16T16:38:58","modified_gmt":"2022-01-16T16:38:58","slug":"uma-piramide-e-um-prisma","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=13528","title":{"rendered":"Uma pir\u00e2mide e um prisma"},"content":{"rendered":"<p><ul id='GTTabs_ul_13528' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_13528' class='GTTabs_curr'><a  id=\"13528_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_13528' ><a  id=\"13528_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_13528'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>O volume de uma pir\u00e2mide \u00e9 4000 cm<sup>3<\/sup>.<\/p>\n<p>Qual \u00e9 o volume, em dm<sup>3<\/sup>, de um prisma com a mesma base e a mesma altura da pir\u00e2mide?<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_13528' onClick='GTTabs_show(1,13528)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_13528'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p>Para a mesma base e a mesma altura, o volume do prisma \u00e9 triplo do volume da pir\u00e2mide, pois\u00a0\\({V_{Prisma}} = {A_b} \\times h\\) e\u00a0\\({V_{Pir\u00e2 mide}} = \\frac{{{A_b} \\times h}}{3}\\).<\/p>\n<p>Assim, \\({V_{Prisma}} = 3 \\times {V_{Pir\u00e2 mide}} = 3 \\times {4000^{c{m^3}}} = {12^{d{m^3}}}\\).<\/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\/g60B3I3VPlw\" frameborder=\"0\" allowfullscreen=\"\"><\/iframe><\/div><\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_13528' onClick='GTTabs_show(0,13528)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado O volume de uma pir\u00e2mide \u00e9 4000 cm3. Qual \u00e9 o volume, em dm3, de um prisma com a mesma base e a mesma altura da pir\u00e2mide? Resolu\u00e7\u00e3o &gt;&gt; Resolu\u00e7\u00e3o &lt;&lt;&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":20382,"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-13528","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":2712,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/02\/9V2Pag019-6_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/13528","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=13528"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/13528\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/20382"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=13528"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=13528"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=13528"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=13528"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}