{"id":13520,"date":"2018-02-08T18:19:10","date_gmt":"2018-02-08T18:19:10","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=13520"},"modified":"2022-01-16T16:05:28","modified_gmt":"2022-01-16T16:05:28","slug":"uma-piramide-de-cristal","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=13520","title":{"rendered":"Uma pir\u00e2mide de cristal"},"content":{"rendered":"<p><ul id='GTTabs_ul_13520' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_13520' class='GTTabs_curr'><a  id=\"13520_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_13520' ><a  id=\"13520_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_13520'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Uma pir\u00e2mide de cristal tem 5 cm de altura. A sua base \u00e9 um quadrado de 2,4 cm de lado.<\/p>\n<p>Qual \u00e9 a massa da pir\u00e2mide, em gramas, sabendo que 1 cm<sup>3<\/sup> de cristal pesa 20 g.<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_13520' onClick='GTTabs_show(1,13520)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_13520'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p>Comecemos por determinar o volume da pir\u00e2mide, em cm<sup>3<\/sup>:\u00a0\\(V = \\frac{1}{3} \\times \\left( {2,4 \\times 2,4} \\right) \\times 5 = 9,6\\).<\/p>\n<p>A pir\u00e2mide tem \\(M = {9,6^{c{m^3}}} \\times {20^{g\/c{m^3}}} = 192\\;g\\) de massa.<\/p><\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_13520' onClick='GTTabs_show(0,13520)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Uma pir\u00e2mide de cristal tem 5 cm de altura. A sua base \u00e9 um quadrado de 2,4 cm de lado. Qual \u00e9 a massa da pir\u00e2mide, em gramas, sabendo que 1&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":20377,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[213,97,466],"tags":[426,471,109],"series":[],"class_list":["post-13520","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-volume"],"views":2067,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/02\/9V2Pag019-3_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/13520","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=13520"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/13520\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/20377"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=13520"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=13520"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=13520"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=13520"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}