{"id":13757,"date":"2018-03-03T22:59:21","date_gmt":"2018-03-03T22:59:21","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=13757"},"modified":"2022-01-16T18:14:35","modified_gmt":"2022-01-16T18:14:35","slug":"sobre-a-lua-e-a-terra","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=13757","title":{"rendered":"Sobre a Lua e a Terra"},"content":{"rendered":"<p><ul id='GTTabs_ul_13757' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_13757' class='GTTabs_curr'><a  id=\"13757_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_13757' ><a  id=\"13757_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_13757'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/9V2Pag22-4.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"13758\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=13758\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/9V2Pag22-4.png\" data-orig-size=\"420,420\" 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=\"Terra e Lua\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/9V2Pag22-4.png\" class=\"alignright size-medium wp-image-13758\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/9V2Pag22-4-300x300.png\" alt=\"\" width=\"300\" height=\"300\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/9V2Pag22-4-300x300.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/9V2Pag22-4-150x150.png 150w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/9V2Pag22-4-160x160.png 160w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/9V2Pag22-4-320x320.png 320w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/9V2Pag22-4.png 420w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a>O di\u00e2metro da Lua \u00e9 aproximadamente um quarto do di\u00e2metro da Terra.<\/p>\n<p>Qual \u00e9 a raz\u00e3o entre o volume da Lua e o da Terra?<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_13757' onClick='GTTabs_show(1,13757)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_13757'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p>Sabe-se que\u00a0\\(\\frac{{{d_{Lua}}}}{{{d_{Terra}}}} \\approx \\frac{1}{4} = r\\).<\/p>\n<p>Portanto, ser\u00e1:<\/p>\n<p>\\[\\frac{{{V_{Lua}}}}{{{V_{Terra}}}} \\approx {\\left( {\\frac{1}{4}} \\right)^3} = \\frac{1}{{64}} = {r^3}\\]<\/p>\n<p>\u00ad<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.jpl.nasa.gov\/spaceimages\/images\/largesize\/PIA21260_hires.jpg\" \/><\/p>\n<h4 class=\"article_title\"><a href=\"https:\/\/www.jpl.nasa.gov\/spaceimages\/details.php?id=PIA21260\" target=\"_blank\" rel=\"noopener\">Earth and Its Moon, as Seen From Mars<\/a><\/h4><\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_13757' onClick='GTTabs_show(0,13757)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado O di\u00e2metro da Lua \u00e9 aproximadamente um quarto do di\u00e2metro da Terra. Qual \u00e9 a raz\u00e3o entre o volume da Lua e o da Terra? Resolu\u00e7\u00e3o &gt;&gt; Resolu\u00e7\u00e3o &lt;&lt; Enunciado<\/p>\n","protected":false},"author":1,"featured_media":20393,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[213,97,466],"tags":[426,109],"series":[],"class_list":["post-13757","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-9--ano","category-aplicando","category-distancias-areas-e-volumes-de-solidos","tag-9-o-ano","tag-volume"],"views":2091,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/9V2Pag022-4_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/13757","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=13757"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/13757\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/20393"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=13757"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=13757"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=13757"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=13757"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}