{"id":5043,"date":"2010-11-01T02:33:38","date_gmt":"2010-11-01T02:33:38","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=5043"},"modified":"2022-01-19T15:06:22","modified_gmt":"2022-01-19T15:06:22","slug":"a-piramide-de-queops","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=5043","title":{"rendered":"A Pir\u00e2mide de Qu\u00e9ops"},"content":{"rendered":"<p><ul id='GTTabs_ul_5043' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_5043' class='GTTabs_curr'><a  id=\"5043_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_5043' ><a  id=\"5043_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_5043'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<div id=\"attachment_5044\" style=\"width: 250px\" class=\"wp-caption alignright\"><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/11\/queops.jpg\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-5044\" data-attachment-id=\"5044\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=5044\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/11\/queops.jpg\" data-orig-size=\"529,309\" 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=\"Pir\u00e2mide de Qu\u00e9ops\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/11\/queops.jpg\" class=\"wp-image-5044\" title=\"Pir\u00e2mide de Qu\u00e9ops\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/11\/queops-300x175.jpg\" alt=\"\" width=\"240\" height=\"140\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/11\/queops-300x175.jpg 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/11\/queops-150x87.jpg 150w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/11\/queops-400x233.jpg 400w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/11\/queops.jpg 529w\" sizes=\"auto, (max-width: 240px) 100vw, 240px\" \/><\/a><p id=\"caption-attachment-5044\" class=\"wp-caption-text\">Pir\u00e2mide de Qu\u00e9ops<\/p><\/div>\n<p>A maior constru\u00e7\u00e3o com a forma de um s\u00f3lido feito pelo Homem \u00e9 a <a href=\"http:\/\/pt.wikipedia.org\/wiki\/Pir%C3%A2mide_de_Qu%C3%A9ops\" target=\"_blank\" rel=\"noopener\">Pir\u00e2mide de Qu\u00e9ops<\/a>, no Egipto, e foi constru\u00edda no s\u00e9culo XXV a.C.<\/p>\n<p>Esta constru\u00e7\u00e3o tem de altura 138 m e a base quadrada tem de lado 230 m.<\/p>\n<p>Qual \u00e9 o volume desta pir\u00e2mide?<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_5043' onClick='GTTabs_show(1,5043)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_5043'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p>\u00a0O volume da <a href=\"http:\/\/pt.wikipedia.org\/wiki\/Pir%C3%A2mide_de_Qu%C3%A9ops\" target=\"_blank\" rel=\"noopener\">Pir\u00e2mide de Qu\u00e9ops<\/a> \u00e9 \\[V=\\frac{1}{3}\\times {{A}_{b}}\\times h=\\frac{1}{3}\\times {{230}^{2}}\\times 138=2433400\\,{{m}^{3}}\\]<\/p>\n<p style=\"text-align: center;\" data-tadv-p=\"keep\">\u00ad<br \/>\n<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\/7yE0d6xjLAs\" frameborder=\"0\" allowfullscreen=\"\"><\/iframe><\/div><\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_5043' onClick='GTTabs_show(0,5043)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado A maior constru\u00e7\u00e3o com a forma de um s\u00f3lido feito pelo Homem \u00e9 a Pir\u00e2mide de Qu\u00e9ops, no Egipto, e foi constru\u00edda no s\u00e9culo XXV a.C. Esta constru\u00e7\u00e3o tem de altura&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":20643,"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-5043","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":4010,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/11\/7V2Pag118-5_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/5043","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=5043"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/5043\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/20643"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=5043"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=5043"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=5043"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=5043"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}