{"id":24502,"date":"2023-02-17T17:58:54","date_gmt":"2023-02-17T17:58:54","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=24502"},"modified":"2023-02-17T18:19:23","modified_gmt":"2023-02-17T18:19:23","slug":"a-ana-tem-uma-caixa","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=24502","title":{"rendered":"A Ana tem uma caixa"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_24502' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_24502' class='GTTabs_curr'><a  id=\"24502_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_24502' ><a  id=\"24502_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_24502'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>A Ana tem uma caixa com a forma de prisma cujas dimens\u00f5es est\u00e3o indicadas na figura.<\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/02\/8_Pag133-3.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"24503\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=24503\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/02\/8_Pag133-3.png\" data-orig-size=\"284,174\" 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=\"8_Pag133-3\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/02\/8_Pag133-3.png\" class=\"aligncenter wp-image-24503 size-full\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/02\/8_Pag133-3.png\" alt=\"\" width=\"284\" height=\"174\" \/><\/a><\/p>\n<ol>\n<li>Escreve o polin\u00f3mio, na forma reduzida, que representa o volume da caixa.<\/li>\n<li>Se o valor num\u00e9rico de <em>x<\/em> for \\(\\frac{1}{4}\\), qual \u00e9 a medida do volume da caixa?<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_24502' onClick='GTTabs_show(1,24502)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_24502'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p>A Ana tem uma caixa com a forma de prisma cujas dimens\u00f5es est\u00e3o indicadas na figura.<\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/02\/8_Pag133-3.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"24503\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=24503\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/02\/8_Pag133-3.png\" data-orig-size=\"284,174\" 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=\"8_Pag133-3\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/02\/8_Pag133-3.png\" class=\"aligncenter wp-image-24503 size-full\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/02\/8_Pag133-3.png\" alt=\"\" width=\"284\" height=\"174\" \/><\/a><\/p>\n<ol>\n<li>O volume da caixa pode ser representado pelo seguinte polin\u00f3mio:\\[\\begin{array}{*{20}{l}}{V\\left( x \\right)}&amp; = &amp;{\\left( {2x + 1} \\right) \\times 3x \\times 4}\\\\{}&amp; = &amp;{\\left( {2x + 1} \\right) \\times 12x}\\\\{}&amp; = &amp;{24{x^2} + 12x}\\end{array}\\]<\/li>\n<li>Se o valor num\u00e9rico de <em>x<\/em> for \\(\\frac{1}{4}\\), ent\u00e3o a medida do volume da caixa \u00e9:\\[\\begin{array}{*{20}{l}}{V\\left( {\\frac{1}{4}} \\right)}&amp; = &amp;{24 \\times {{\\left( {\\frac{1}{4}} \\right)}^2} + 12 \\times \\frac{1}{4}}\\\\{}&amp; = &amp;{24 \\times \\frac{1}{{16}} + 3}\\\\{}&amp; = &amp;{\\frac{3}{2} + 3}\\\\{}&amp; = &amp;{\\frac{9}{2}}\\end{array}\\]<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_24502' onClick='GTTabs_show(0,24502)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado A Ana tem uma caixa com a forma de prisma cujas dimens\u00f5es est\u00e3o indicadas na figura. Escreve o polin\u00f3mio, na forma reduzida, que representa o volume da caixa. Se o valor&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":24504,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,700],"tags":[424,194,704,705],"series":[],"class_list":["post-24502","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-8--ano","category-aplicando","category-monomios-e-polinomios","tag-8-o-ano","tag-monomios","tag-operacoes-com-monomios","tag-polinomios"],"views":170,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/02\/8_Pag133-3_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/24502","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=24502"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/24502\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/24504"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=24502"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=24502"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=24502"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=24502"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}