{"id":23307,"date":"2022-11-22T22:40:41","date_gmt":"2022-11-22T22:40:41","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=23307"},"modified":"2022-11-24T19:08:15","modified_gmt":"2022-11-24T19:08:15","slug":"o-tubo-cabera-no-contentor","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=23307","title":{"rendered":"O tubo caber\u00e1 no contentor?"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_23307' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_23307' class='GTTabs_curr'><a  id=\"23307_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_23307' ><a  id=\"23307_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_23307'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Uma empresa precisa de transportar um tubo de 7,12 m de comprimento.<\/p>\n<p>Caber\u00e1 neste contentor?<\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag058-14.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"23308\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=23308\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag058-14.png\" data-orig-size=\"440,200\" 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_Pag058-14\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag058-14.png\" class=\"aligncenter wp-image-23308\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag058-14-300x136.png\" alt=\"\" width=\"340\" height=\"155\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag058-14-300x136.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag058-14.png 440w\" sizes=\"auto, (max-width: 340px) 100vw, 340px\" \/><\/a><\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_23307' onClick='GTTabs_show(1,23307)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_23307'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag058-14.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"23308\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=23308\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag058-14.png\" data-orig-size=\"440,200\" 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_Pag058-14\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag058-14.png\" class=\"aligncenter wp-image-23308\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag058-14-300x136.png\" alt=\"\" width=\"340\" height=\"155\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag058-14-300x136.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag058-14.png 440w\" sizes=\"auto, (max-width: 340px) 100vw, 340px\" \/><\/a><\/p>\n<p>Calculemos, sucessivamente, o comprimento da diagonal da base do contentor e o comprimento da diagonal espacial do contentor, por aplica\u00e7\u00e3o do Teorema de Pit\u00e1goras:<\/p>\n<ul style=\"list-style-type: square;\">\n<li>\\({d_B} = \\sqrt {{{6,2}^2} + {{2,7}^2}} = \\sqrt {38,44 + 7,29} = \\sqrt {45,73} \\) m<\/li>\n<li>\\({d_E} = \\sqrt {{{\\left( {\\sqrt {45,73} } \\right)}^2} + {{2,1}^2}} = \\sqrt {45,73 + 4,41} = \\sqrt {50,14} \\) m<\/li>\n<\/ul>\n<p>Ora, \\({d_E} = \\sqrt {50,14} \\approx 7,08\\) m.<\/p>\n<p>Como \\({d_E} &lt; 7,12\\) m, ent\u00e3o o tubo n\u00e3o cabe no contentor.<\/p>\n<p>\u00a0<\/p>\n<h6>C\u00e1lculo da diagonal espacial por aplica\u00e7\u00e3o do Teorema de Pit\u00e1goras no espa\u00e7o<\/h6>\n<ul style=\"list-style-type: square;\">\n<li>\\({d_E} = \\sqrt {{{6,2}^2} + {{2,7}^2} + {{2,1}^2}} = \\sqrt {38,44 + 7,29 + 4,41} = \\sqrt {50,14} \\)<\/li>\n<\/ul>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_23307' onClick='GTTabs_show(0,23307)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Uma empresa precisa de transportar um tubo de 7,12 m de comprimento. Caber\u00e1 neste contentor? Resolu\u00e7\u00e3o &gt;&gt; Resolu\u00e7\u00e3o &lt;&lt; Enunciado<\/p>\n","protected":false},"author":1,"featured_media":23309,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,682],"tags":[424,67,118],"series":[],"class_list":["post-23307","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-8--ano","category-aplicando","category-teorema-de-pitagoras","tag-8-o-ano","tag-geometria","tag-teorema-de-pitagoras"],"views":228,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag058-14_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/23307","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=23307"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/23307\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/23309"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=23307"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=23307"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=23307"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=23307"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}