{"id":6248,"date":"2024-05-25T15:08:58","date_gmt":"2024-05-25T18:08:58","guid":{"rendered":"https:\/\/xequematenem.com.br\/blog\/?p=6248"},"modified":"2024-09-05T11:17:36","modified_gmt":"2024-09-05T14:17:36","slug":"questao-154-enem-ppl-2020","status":"publish","type":"post","link":"https:\/\/xequematenem.com.br\/blog\/questao-154-enem-ppl-2020\/","title":{"rendered":"Quest\u00e3o 154 &#8211; Enem PPL 2020"},"content":{"rendered":"\n<p class=\"has-text-align-center wp-block-paragraph\">Quest\u00e3o 154 &#8211; Geometria Espacial<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Projetado pelo arquiteto Oscar Niemeyer, o Museu de Arte Contempor\u00e2nea (MAC) tornou-se um dos cart\u00f5es-postais da cidade de Niter\u00f3i (Figura 1)<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"278\" height=\"163\" data-src=\"https:\/\/xequematenem.com.br\/blog\/wp-content\/uploads\/2024\/05\/cujo-diametro-da-base-maior-mede-50-m-e-12-m-e-a-distancia-entre-as-duas-bases.webp\" alt=\"\" class=\"wp-image-7130 lazyload\" title=\"\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" style=\"--smush-placeholder-width: 278px; --smush-placeholder-aspect-ratio: 278\/163;\"><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Considere que a forma da c\u00fapula do MAC seja a de um tronco de cone circular reto (Figura 2), <strong>cujo di\u00e2metro da base maior mede 50 m e 12 m \u00e9 a dist\u00e2ncia entre as duas bases.<\/strong> A administra\u00e7\u00e3o do museu deseja fazer uma reforma revitalizando o piso de seu p\u00e1tio e, para isso, precisa estimar a sua \u00e1rea. (Utilize 1,7 como valor aproximado para \u221a3 e 3 para \u03c0).&nbsp;<br><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"288\" height=\"168\" data-src=\"https:\/\/xequematenem.com.br\/blog\/wp-content\/uploads\/2024\/07\/Considere-que-a-forma-da-cupula-do-MAC-seja-a-de-um-tronco-de-cone-circular-reto-1.webp\" alt=\"\" class=\"wp-image-7129 lazyload\" title=\"\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" style=\"--smush-placeholder-width: 288px; --smush-placeholder-aspect-ratio: 288\/168;\"><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">A medida da \u00e1rea do p\u00e1tio do museu a ser revitalizada, em metro quadrado, est\u00e1 no intervalo&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A) [100, 200]&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B) [300, 400]&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C) [600, 700]&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D) [900, 1 000]&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">E) [1 000, 1 100]<\/p>\n\n\n\n<p class=\"has-text-align-center has-large-font-size wp-block-paragraph\"><strong>Resolu\u00e7\u00e3o<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sabemos que o di\u00e2metro da base maior \u00e9 50 m e a altura \u00e9 12m podemos observar que 50 &#8211; 2x = di\u00e2metro do p\u00e1tio a partir da imagem abaixo<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"278\" height=\"163\" data-src=\"https:\/\/xequematenem.com.br\/blog\/wp-content\/uploads\/2024\/05\/cujo-diametro-da-base-maior-mede-50-m-e-12-m-e-a-distancia-entre-as-duas-bases.webp\" alt=\"\" class=\"wp-image-7130 lazyload\" title=\"\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" style=\"--smush-placeholder-width: 278px; --smush-placeholder-aspect-ratio: 278\/163;\"><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">E x pode ser calculado por tg60, sabemos que<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Tg60 = 12\/x (cateto oposto sobre adjacente)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">E tamb\u00e9m que<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Tg60 = \u221a3<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Igualando temos<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u221a3 = 12\/x<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u221a3x = 12<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">x = 12\/\u221a3<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">x = 12\/1,7 = 7,05<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Ent\u00e3o o di\u00e2metro ser\u00e1<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">50 &#8211; 2.7,05 = 35,9<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A \u00e1rea \u00e9 dada por<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u03c0.r\u00b2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sendo r metade do di\u00e2metro<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">r = 35,9\/2 = 17,95<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u03c0.r\u00b2 = 3*17,95*17,95 = 966,607<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Alternativa D<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Assista a resolu\u00e7\u00e3o com mais detalhes no v\u00eddeo abaixo!<\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe title=\"Quest\u00e3o 154 - Caderno Azul | Geometria Espacial | MATEM\u00c1TICA ENEM PPL 2020\" width=\"800\" height=\"450\" data-src=\"https:\/\/www.youtube.com\/embed\/OxX_km0pbTw?list=PLrzB-zHlu3aDeOIMvU2HONxnR9gk0LfbA\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" class=\"lazyload\" data-load-mode=\"1\"><\/iframe>\n<\/div><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Quest\u00e3o 154 &#8211; Geometria Espacial Projetado pelo arquiteto Oscar Niemeyer, o Museu de Arte Contempor\u00e2nea (MAC) tornou-se um dos cart\u00f5es-postais da cidade de Niter\u00f3i (Figura 1) Considere que a forma da c\u00fapula do MAC seja a de um tronco de cone circular reto (Figura 2), cujo di\u00e2metro da base maior mede 50 m e 12 [&hellip;]<\/p>\n","protected":false},"author":11,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[87,99],"tags":[],"area-do-conhecimento":[132,118],"assunto":[54],"class_list":["post-6248","post","type-post","status-publish","format-standard","hentry","category-questoes-ppl","category-2020-questoes-ppl","area-do-conhecimento-matematica","area-do-conhecimento-matematica-e-suas-tecnologias","assunto-geometria-espacial"],"_links":{"self":[{"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/posts\/6248","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/users\/11"}],"replies":[{"embeddable":true,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/comments?post=6248"}],"version-history":[{"count":4,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/posts\/6248\/revisions"}],"predecessor-version":[{"id":11726,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/posts\/6248\/revisions\/11726"}],"wp:attachment":[{"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/media?parent=6248"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/categories?post=6248"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/tags?post=6248"},{"taxonomy":"area-do-conhecimento","embeddable":true,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/area-do-conhecimento?post=6248"},{"taxonomy":"assunto","embeddable":true,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/assunto?post=6248"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}