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{"id":4951,"date":"2010-10-31T16:27:16","date_gmt":"2010-10-31T16:27:16","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=4951"},"modified":"2022-01-19T13:55:06","modified_gmt":"2022-01-19T13:55:06","slug":"o-volume-de-um-solido","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=4951","title":{"rendered":"O volume de um s\u00f3lido"},"content":{"rendered":"<p><ul id='GTTabs_ul_4951' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_4951' class='GTTabs_curr'><a  id=\"4951_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_4951' ><a  id=\"4951_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_4951'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Calcula o volume do s\u00f3lido representado a seguir.<\/p>\n<p style=\"text-align: center;\"><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/solido.jpg\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"4952\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=4952\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/solido.jpg\" data-orig-size=\"394,437\" 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=\"S\u00f3lido\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/solido.jpg\" class=\"aligncenter wp-image-4952\" title=\"S\u00f3lido\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/solido-270x300.jpg\" alt=\"\" width=\"240\" height=\"266\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/solido-270x300.jpg 270w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/solido-135x150.jpg 135w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/solido.jpg 394w\" sizes=\"auto, (max-width: 240px) 100vw, 240px\" \/><\/a><\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_4951' onClick='GTTabs_show(1,4951)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_4951'>\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\/10\/solido.jpg\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"4952\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=4952\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/solido.jpg\" data-orig-size=\"394,437\" 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=\"S\u00f3lido\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/solido.jpg\" class=\"alignright wp-image-4952\" title=\"S\u00f3lido\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/solido-270x300.jpg\" alt=\"\" width=\"240\" height=\"266\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/solido-270x300.jpg 270w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/solido-135x150.jpg 135w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/solido.jpg 394w\" sizes=\"auto, (max-width: 240px) 100vw, 240px\" \/><\/a>O s\u00f3lido \u00e9 constitu\u00eddo por um cubo e uma pir\u00e2mide, justapostos pelas suas bases, geometricamente iguais.<\/p>\n<p>O volume do cubo \u00e9<\/p>\n<p style=\"text-align: center;\">${{V}_{C}}={{9}^{3}}=729\\,c{{m}^{3}}$.<\/p>\n<p>O volume da pir\u00e2mide \u00e9<\/p>\n<p style=\"text-align: center;\">${{V}_{P}}=\\frac{1}{3}\\times {{A}_{b}}\\times h=\\frac{1}{3}\\times {{9}^{2}}\\times 8=27\\times 8=216\\,c{{m}^{3}}$.<\/p>\n<p>Logo, o volume do s\u00f3lido \u00e9<\/p>\n<p style=\"text-align: center;\">${{V}_{S}}={{V}_{C}}+{{V}_{P}}=729+216=945\\,c{{m}^{3}}$.<\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_4951' onClick='GTTabs_show(0,4951)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Calcula o volume do s\u00f3lido representado a seguir. Resolu\u00e7\u00e3o &gt;&gt; Resolu\u00e7\u00e3o &lt;&lt; Enunciado<\/p>\n","protected":false},"author":1,"featured_media":20636,"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-4951","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":2425,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/7V2Pag117-2_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/4951","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=4951"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/4951\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/20636"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=4951"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=4951"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=4951"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=4951"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}