{"id":9745,"date":"2012-10-01T19:34:48","date_gmt":"2012-10-01T18:34:48","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=9745"},"modified":"2022-01-20T00:02:49","modified_gmt":"2022-01-20T00:02:49","slug":"o-tomas-cobriu-as-arestas-das-caixas-com-fita-azul","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=9745","title":{"rendered":"O Tom\u00e1s cobriu as arestas das caixas com fita azul"},"content":{"rendered":"<p><ul id='GTTabs_ul_9745' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_9745' class='GTTabs_curr'><a  id=\"9745_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_9745' ><a  id=\"9745_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_9745'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/fitaazul.jpg\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"9748\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=9748\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/fitaazul.jpg\" data-orig-size=\"488,249\" 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;1349116822&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=\"Caixas\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/fitaazul.jpg\" class=\"alignright  wp-image-9748\" title=\"Caixas\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/fitaazul.jpg\" alt=\"\" width=\"293\" height=\"149\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/fitaazul.jpg 488w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/fitaazul-300x153.jpg 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/fitaazul-150x76.jpg 150w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/fitaazul-400x204.jpg 400w\" sizes=\"auto, (max-width: 293px) 100vw, 293px\" \/><\/a>O Tom\u00e1s cobriu as arestas das caixas com fita azul.<\/p>\n<p>A caixa c\u00fabica tem as arestas com $18$ cm de medida de comprimento.<\/p>\n<p>Cada aresta das faces triangulares da outra caixa mede $30$ cm e cada uma das restantes arestas mede $45$ cm.<\/p>\n<p>Se cada metro de fita custou $25$ c\u00eantimos, quanto gastou o Tom\u00e1s em fita nas duas caixas. Explica a tua resposta.<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_9745' onClick='GTTabs_show(1,9745)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_9745'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"9748\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=9748\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/fitaazul.jpg\" data-orig-size=\"488,249\" 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;1349116822&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=\"Caixas\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/fitaazul.jpg\" class=\"alignright  wp-image-9748\" title=\"Caixas\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/fitaazul.jpg\" alt=\"\" width=\"293\" height=\"149\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/fitaazul.jpg 488w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/fitaazul-300x153.jpg 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/fitaazul-150x76.jpg 150w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/fitaazul-400x204.jpg 400w\" sizes=\"auto, (max-width: 293px) 100vw, 293px\" \/>A caixa c\u00fabica tem 12 arestas, cada uma delas com $18$ cm de comprimento.<\/p>\n<p>Logo, o Tom\u00e1s gastou $12 \\times 18 = 216$ cm de fita para cobrir as arestas da caixa c\u00fabica.<\/p>\n<p>A caixa com forma prisma triangular possui $6$ arestas (em cada uma das duas bases triangulares) com $30$ cm de comprimento e mais $3$ arestas (laterais) com $45$ cm de comprimento.<\/p>\n<p>Logo, o Tom\u00e1s gastou $6 \\times 30 + 3 \\times 45 = 180 + 135 = 315$ cm de fita para cobrir as arestas da caixa com a forma de prisma triangular.<\/p>\n<p>Portanto, o Tom\u00e1s utilizou $216 + 315 = 531$ cm (ou seja, $5,31$ m) de fita azul para cobrir as arestas das duas caixas.<\/p>\n<p>Como cada metro de fita custou $25$ c\u00eantimos, o Tom\u00e1s gastou $5,31 \\times 25 = 132,75$ c\u00eantimos, ou seja, aproximadamente $1,33$ euros.<\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_9745' onClick='GTTabs_show(0,9745)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado O Tom\u00e1s cobriu as arestas das caixas com fita azul. A caixa c\u00fabica tem as arestas com $18$ cm de medida de comprimento. Cada aresta das faces triangulares da outra caixa&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":20706,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[317,97,318],"tags":[428,320,319],"series":[],"class_list":["post-9745","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-7-o-ano","category-aplicando","category-numeros-inteiros","tag-7-o-ano","tag-multiplicacao","tag-numeros-inteiros-2"],"views":1342,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/10\/7V1Pag015-5_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/9745","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=9745"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/9745\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/20706"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=9745"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=9745"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=9745"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=9745"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}