{"id":11455,"date":"2012-11-19T00:23:58","date_gmt":"2012-11-19T00:23:58","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=11455"},"modified":"2022-01-20T14:37:43","modified_gmt":"2022-01-20T14:37:43","slug":"os-cubos-da-rita","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=11455","title":{"rendered":"Os cubos da Rita"},"content":{"rendered":"<p><ul id='GTTabs_ul_11455' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_11455' class='GTTabs_curr'><a  id=\"11455_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_11455' ><a  id=\"11455_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_11455'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<div id=\"attachment_11458\" style=\"width: 158px\" class=\"wp-caption alignright\"><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/11\/cubosrita.jpg\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-11458\" data-attachment-id=\"11458\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=11458\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/11\/cubosrita.jpg\" data-orig-size=\"247,246\" 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;}\" data-image-title=\"Cubos\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/11\/cubosrita.jpg\" class=\"wp-image-11458\" title=\"Cubos\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/11\/cubosrita.jpg\" alt=\"\" width=\"148\" height=\"148\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/11\/cubosrita.jpg 247w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/11\/cubosrita-150x150.jpg 150w\" sizes=\"auto, (max-width: 148px) 100vw, 148px\" \/><\/a><p id=\"caption-attachment-11458\" class=\"wp-caption-text\">Os cubos usados pela Rita<\/p><\/div>\n<p>A Rita usou cubos iguais sobrepostos para obter a constru\u00e7\u00e3o da figura<\/p>\n<p>Esta constru\u00e7\u00e3o tem $256$ cm<sup>3<\/sup> de medida de volume.<\/p>\n<ol>\n<li>Determina a medida do volume de cada cubo usado pela Rita.<\/li>\n<li>Qual a medida do comprimento da aresta de cada um dos cubos usados pela Rita. Porqu\u00ea?<\/li>\n<li>Indica, justificando, qual o menor n\u00famero de cubos que a Rita dever\u00e1 juntar \u00e0 constru\u00e7\u00e3o para que possa obter um cubo.<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_11455' onClick='GTTabs_show(1,11455)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_11455'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<ol>\n<li>\n<div id=\"attachment_11458\" style=\"width: 158px\" class=\"wp-caption alignright\"><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/11\/cubosrita.jpg\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-11458\" data-attachment-id=\"11458\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=11458\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/11\/cubosrita.jpg\" data-orig-size=\"247,246\" 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;}\" data-image-title=\"Cubos\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/11\/cubosrita.jpg\" class=\"wp-image-11458\" title=\"Cubos\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/11\/cubosrita.jpg\" alt=\"\" width=\"148\" height=\"148\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/11\/cubosrita.jpg 247w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/11\/cubosrita-150x150.jpg 150w\" sizes=\"auto, (max-width: 148px) 100vw, 148px\" \/><\/a><p id=\"caption-attachment-11458\" class=\"wp-caption-text\">A constru\u00e7\u00e3o da Rita<\/p><\/div>\n<p>Como os quatro cubos usados pela Rita s\u00e3o iguais, o volume de cada um deles \u00e9 a quarta parte do volume da constru\u00e7\u00e3o: ${V_{Cubo}} = \\frac{{256}}{4} = 64$ cm<sup>3<\/sup>.<br \/>\n\u00ad<\/p>\n<\/li>\n<li>O comprimento da aresta de cada cubo \u00e9 a raiz c\u00fabica do volume de cada cubo: $a = \\sqrt[3]{{64}} = 4$ cm.<br \/>\n\u00ad<\/li>\n<li>Os primeiros cubos perfeitos s\u00e3o: $1$, $8$, $27$, &#8230;<br \/>\nEnt\u00e3o, o cubo mais pequeno que a Rita poder\u00e1 construir com esses cubos iguais usar\u00e1 $8$ desses cubos.<br \/>\nLogo, o menor n\u00famero de cubos iguais a esses que deve juntar \u00e9 $4$.<\/li>\n<\/ol>\n<p style=\"text-align: center;\"><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/11\/8cubos.jpg\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"11463\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=11463\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/11\/8cubos.jpg\" data-orig-size=\"281,269\" 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;}\" data-image-title=\"Cubos\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/11\/8cubos.jpg\" class=\"aligncenter  wp-image-11463\" title=\"Cubos\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/11\/8cubos.jpg\" alt=\"\" width=\"169\" height=\"161\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/11\/8cubos.jpg 281w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/11\/8cubos-150x143.jpg 150w\" sizes=\"auto, (max-width: 169px) 100vw, 169px\" \/><\/a><\/p><\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_11455' onClick='GTTabs_show(0,11455)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado A Rita usou cubos iguais sobrepostos para obter a constru\u00e7\u00e3o da figura Esta constru\u00e7\u00e3o tem $256$ cm3 de medida de volume. Determina a medida do volume de cada cubo usado pela&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":20745,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[317,97,318],"tags":[342,109],"series":[],"class_list":["post-11455","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-7-o-ano","category-aplicando","category-numeros-inteiros","tag-raiz-cubica","tag-volume"],"views":3418,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2012\/11\/7V1Pag042-8_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/11455","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=11455"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/11455\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/20745"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=11455"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=11455"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=11455"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=11455"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}