{"id":13895,"date":"2018-03-07T21:35:30","date_gmt":"2018-03-07T21:35:30","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=13895"},"modified":"2022-01-06T18:16:21","modified_gmt":"2022-01-06T18:16:21","slug":"quatro-velas-esfericas","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=13895","title":{"rendered":"Quatro velas esf\u00e9ricas"},"content":{"rendered":"<p><ul id='GTTabs_ul_13895' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_13895' class='GTTabs_curr'><a  id=\"13895_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_13895' ><a  id=\"13895_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_13895'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/9V2Pag033-15b.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"13900\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=13900\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/9V2Pag033-15b.png\" data-orig-size=\"520,185\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&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;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"Velas esf\u00e9ricas\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/9V2Pag033-15b.png\" class=\"alignright size-medium wp-image-13900\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/9V2Pag033-15b-300x107.png\" alt=\"\" width=\"300\" height=\"107\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/9V2Pag033-15b-300x107.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/9V2Pag033-15b.png 520w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a>Quatro velas esf\u00e9ricas com 12 cm de di\u00e2metro foram colocadas numa caixa com a forma de um prisma quadrangular regular, como v\u00eas na figura.<\/p>\n<ol>\n<li>Quais s\u00e3o as dimens\u00f5es da caixa?<\/li>\n<li>Determina o valor arredondado \u00e0s cent\u00e9simas do volume da caixa n\u00e3o ocupado pelas velas.<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_13895' onClick='GTTabs_show(1,13895)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_13895'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<ol>\n<li><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/9V2Pag033-15b.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"13900\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=13900\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/9V2Pag033-15b.png\" data-orig-size=\"520,185\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&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;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"Velas esf\u00e9ricas\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/9V2Pag033-15b.png\" class=\"alignright size-medium wp-image-13900\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/9V2Pag033-15b-300x107.png\" alt=\"\" width=\"300\" height=\"107\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/9V2Pag033-15b-300x107.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/9V2Pag033-15b.png 520w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a>A caixa tem as seguintes dimens\u00f5es:\u00a0\\(\\left( {2 \\times 12} \\right)\\;cm \\times \\left( {2 \\times 12} \\right)\\;cm \\times \\left( {1 \\times 12} \\right)\\;cm\\) ,<br \/>\nou seja, \\(24\\;cm \\times 24\\;cm \\times 12\\;cm\\).<br \/>\n\u00ad<\/li>\n<li>O volume da caixa n\u00e3o ocupado pelas velas, em cm<sup>3<\/sup>, \u00e9 aproximadamente:<br \/>\n\\[\\begin{array}{*{20}{l}}{{V_{NOcup}}}&amp; = &amp;{{V_{Caixa}} &#8211; {V_{Velas}}}\\\\{}&amp; = &amp;{24 \\times 24 \\times 12 &#8211; 4 \\times \\frac{4}{3} \\times \\pi \\times {6^3}}\\\\{}&amp; = &amp;{6912 &#8211; 1152\\pi }\\\\{}&amp; \\approx &amp;{3292,89}\\end{array}\\]<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_13895' onClick='GTTabs_show(0,13895)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Quatro velas esf\u00e9ricas com 12 cm de di\u00e2metro foram colocadas numa caixa com a forma de um prisma quadrangular regular, como v\u00eas na figura. Quais s\u00e3o as dimens\u00f5es da caixa? Determina&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":13896,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[213,97,466],"tags":[426,482,109],"series":[],"class_list":["post-13895","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-esfera","tag-volume"],"views":2244,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/9V2Pag033-15.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/13895","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=13895"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/13895\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/13896"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=13895"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=13895"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=13895"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=13895"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}