{"id":5035,"date":"2010-11-01T02:07:28","date_gmt":"2010-11-01T02:07:28","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=5035"},"modified":"2022-01-19T15:01:20","modified_gmt":"2022-01-19T15:01:20","slug":"uma-piramide-pentagonal","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=5035","title":{"rendered":"Uma pir\u00e2mide pentagonal"},"content":{"rendered":"<p><ul id='GTTabs_ul_5035' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_5035' class='GTTabs_curr'><a  id=\"5035_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_5035' ><a  id=\"5035_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_5035'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/11\/pag118-4.jpg\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"5036\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=5036\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/11\/pag118-4.jpg\" data-orig-size=\"239,204\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;HP pstc4380&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;}\" data-image-title=\"Pent\u00e1gono\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/11\/pag118-4.jpg\" class=\"alignright wp-image-5036 size-full\" title=\"Pent\u00e1gono\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/11\/pag118-4.jpg\" alt=\"\" width=\"239\" height=\"204\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/11\/pag118-4.jpg 239w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/11\/pag118-4-150x128.jpg 150w\" sizes=\"auto, (max-width: 239px) 100vw, 239px\" \/><\/a>O pent\u00e1gono\u00a0ao lado\u00a0\u00e9 a base de uma pir\u00e2mide que tem 3,2 m de altura.<\/p>\n<p>Nesse quadriculado, cada quadradinho representa 0,36 m<sup>2<\/sup>.<\/p>\n<p>Qual \u00e9 o volume dessa pir\u00e2mide?<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_5035' onClick='GTTabs_show(1,5035)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_5035'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/11\/pag118-4.jpg\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"5036\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=5036\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/11\/pag118-4.jpg\" data-orig-size=\"239,204\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;HP pstc4380&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;}\" data-image-title=\"Pent\u00e1gono\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/11\/pag118-4.jpg\" class=\"alignright wp-image-5036 size-full\" title=\"Pent\u00e1gono\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/11\/pag118-4.jpg\" alt=\"\" width=\"239\" height=\"204\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/11\/pag118-4.jpg 239w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/11\/pag118-4-150x128.jpg 150w\" sizes=\"auto, (max-width: 239px) 100vw, 239px\" \/><\/a>A \u00e1rea do pent\u00e1gono \u00e9 igual\u00a0\u00e0 \u00e1rea de 7 quadradinhos.<\/p>\n<p>Logo, a \u00e1rea da base da pir\u00e2mide \u00e9 \\[{{A}_{b}}=7\\times 0,36=2,52\\,{{m}^{2}}\\]<\/p>\n<p>Portanto, o volume dessa pir\u00e2mide \u00e9 \\[V=\\frac{1}{3}\\times {{A}_{b}}\\times h=\\frac{1}{3}\\times 2,52\\times 3,2=2,688\\,{{m}^{3}}\\]<\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_5035' onClick='GTTabs_show(0,5035)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado O pent\u00e1gono\u00a0ao lado\u00a0\u00e9 a base de uma pir\u00e2mide que tem 3,2 m de altura. Nesse quadriculado, cada quadradinho representa 0,36 m2. Qual \u00e9 o volume dessa pir\u00e2mide? Resolu\u00e7\u00e3o &gt;&gt; Resolu\u00e7\u00e3o &lt;&lt;&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":20642,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,102],"tags":[424,67,109],"series":[],"class_list":["post-5035","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-8--ano","category-aplicando","category-do-espaco-ao-plano","tag-8-o-ano","tag-geometria","tag-volume"],"views":3124,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/11\/7V2Pag118-4_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/5035","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=5035"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/5035\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/20642"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=5035"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=5035"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=5035"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=5035"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}