{"id":9902,"date":"2012-10-03T17:38:58","date_gmt":"2012-10-03T16:38:58","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=9902"},"modified":"2022-01-20T19:58:20","modified_gmt":"2022-01-20T19:58:20","slug":"que-quantidade-de-agua-pode-encher-a-piscina","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=9902","title":{"rendered":"Que quantidade de \u00e1gua pode encher a piscina?"},"content":{"rendered":"<p><ul id='GTTabs_ul_9902' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_9902' class='GTTabs_curr'><a  id=\"9902_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_9902' ><a  id=\"9902_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_9902'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<div id=\"attachment_9904\" style=\"width: 299px\" class=\"wp-caption alignright\"><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/piscina.jpg\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-9904\" data-attachment-id=\"9904\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=9904\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/piscina.jpg\" data-orig-size=\"482,257\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;AMMA&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;1349282634&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=\"Piscina\" data-image-description=\"\" data-image-caption=\"&lt;p&gt;Piscina&lt;\/p&gt;\n\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/piscina.jpg\" class=\" wp-image-9904 \" title=\"Piscina\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/piscina.jpg\" alt=\"\" width=\"289\" height=\"154\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/piscina.jpg 482w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/piscina-300x159.jpg 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/piscina-150x79.jpg 150w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/piscina-400x213.jpg 400w\" sizes=\"auto, (max-width: 289px) 100vw, 289px\" \/><\/a><p id=\"caption-attachment-9904\" class=\"wp-caption-text\">Piscina<\/p><\/div>\n<p>Uma piscina tem a forma de prisma que se apresenta na figura.<\/p>\n<p>Que quantidade de \u00e1gua pode encher a piscina?<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_9902' onClick='GTTabs_show(1,9902)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_9902'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<div id=\"attachment_9904\" style=\"width: 299px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/piscina.jpg\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-9904\" data-attachment-id=\"9904\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=9904\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/piscina.jpg\" data-orig-size=\"482,257\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;AMMA&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;1349282634&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=\"Piscina\" data-image-description=\"\" data-image-caption=\"&lt;p&gt;Piscina&lt;\/p&gt;\n\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/piscina.jpg\" class=\" wp-image-9904 \" title=\"Piscina\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/piscina.jpg\" alt=\"\" width=\"289\" height=\"154\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/piscina.jpg 482w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/piscina-300x159.jpg 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/piscina-150x79.jpg 150w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/piscina-400x213.jpg 400w\" sizes=\"auto, (max-width: 289px) 100vw, 289px\" \/><\/a><p id=\"caption-attachment-9904\" class=\"wp-caption-text\">Piscina<\/p><\/div>\n<p>Considerando que a forma da piscina se pode obter pela decomposi\u00e7\u00e3o de um paralelep\u00edpedo ret\u00e2ngulo em dois prismas retos, um de base pentagonal e outro de base triangular, vem:<\/p>\n<p>$$\\begin{array}{*{20}{l}}<br \/>\n{{V_{Piscina}}}&amp; = &amp;{{V_{Paralelep\u00edpedo}} &#8211; {V_{\\Pr isma &#8211; Triangular}}}\\\\<br \/>\n{}&amp; = &amp;{9 \\times 4,8 \\times 4,2 &#8211; \\frac{{\\left( {9 &#8211; 3,9} \\right) \\times \\left( {4,2 &#8211; 1,2} \\right)}}{2} \\times 4,8}\\\\<br \/>\n{}&amp; = &amp;{181,44 &#8211; 36,72}\\\\<br \/>\n{}&amp; = &amp;{144,72}<br \/>\n\\end{array}$$<\/p>\n<p>A piscina enche com ${144,72}$ m<sup>3<\/sup> de \u00e1gua.<\/p><\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_9902' onClick='GTTabs_show(0,9902)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Uma piscina tem a forma de prisma que se apresenta na figura. Que quantidade de \u00e1gua pode encher a piscina? Resolu\u00e7\u00e3o &gt;&gt; Resolu\u00e7\u00e3o &lt;&lt; Enunciado<\/p>\n","protected":false},"author":1,"featured_media":20767,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[321,97,322],"tags":[429,430,109],"series":[],"class_list":["post-9902","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-10-o-ano","category-aplicando","category-modulo-inicial","tag-10-o-ano","tag-modulo-inicial","tag-volume"],"views":1404,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/10V1Pag033-10_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/9902","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=9902"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/9902\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/20767"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=9902"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=9902"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=9902"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=9902"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}