{"id":21361,"date":"2019-05-21T02:16:38","date_gmt":"2019-05-20T20:46:38","guid":{"rendered":"https:\/\/e-gmat.com\/blogs\/?p=21361"},"modified":"2022-11-16T17:24:37","modified_gmt":"2022-11-16T11:54:37","slug":"each-of-27-white-1-centimeter-cubes-will-have-exactly-one-face-painted-red-if-these-27-cubes-are-joined-together-to-form-one-large-cube-as-shown-above-what-is-the-greatest-possible-fraction-of-the","status":"publish","type":"post","link":"https:\/\/e-gmat.com\/blogs\/each-of-27-white-1-centimeter-cubes-will-have-exactly-one-face-painted-red-if-these-27-cubes-are-joined-together-to-form-one-large-cube-as-shown-above-what-is-the-greatest-possible-fraction-of-the\/","title":{"rendered":"Each of 27 white 1-centimeter cubes will have exactly one face painted red. If these 27 cubes are joined together to form one large cube, as shown above, what is the greatest possible fraction of the surface area that could be red?  &#8211; OGQR 2020 Question #88 with Solution"},"content":{"rendered":"<span class=\"rt-reading-time\" style=\"display: block;\"><span class=\"rt-label rt-prefix\">A <\/span> <span class=\"rt-time\">2<\/span> <span class=\"rt-label rt-postfix\">min read <\/span><\/span>\n<h2 id=\"h-ogqr-2020-question-no-88\">OGQR 2020: Question No. 88<\/h2>\n\n\n\n<figure class=\"wp-block-image aligncenter\"><img loading=\"lazy\" width=\"227\" height=\"183\" src=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/05\/88.png\" alt=\"\" class=\"wp-image-21364\"\/><\/figure>\n\n\n\n<p>Each of 27 white 1-centimeter cubes will have exactly one face painted red. If these 27 cubes are joined together to form one large cube, as shown above, what is the greatest possible fraction of the surface area that could be red?<\/p>\n\n\n\n<p><\/p>\n\n\n<div class='one_third et_column_last'>\n\t\t\t\t\t<table>\n<tbody>\n<tr>\n<td width=\"301\">Source<\/td>\n<td width=\"301\">OGQR 2020<\/td>\n<\/tr>\n<tr>\n<td width=\"301\">Type<\/td>\n<td width=\"301\">Problem Solving<\/td>\n<\/tr>\n<tr>\n<td width=\"301\">Topic<\/td>\n<td width=\"301\">Geometry<\/td>\n<\/tr>\n<tr>\n<td width=\"301\">Sub-Topic<\/td>\n<td width=\"301\">Cube<\/td>\n<\/tr>\n<tr>\n<td width=\"301\">Difficulty<\/td>\n<td width=\"301\">Hard<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\t\t\t\t<\/div><div class='clear'><\/div>\n\n\n\n<h3 id=\"h-solution\">Solution<\/h3>\n\n\n\n<h4 id=\"h-given\"><strong><u>Given<\/u><\/strong><\/h4>\n\n\n\n<p>In this question, we are given<\/p>\n\n\n\n<ul><li>Each of 27 white 1-centimeter cubes will have exactly one face painted red.<\/li><li>These 27 cubes are joined together to form one large cube, as shown in the given diagram.<\/li><\/ul>\n\n\n\n<h4 id=\"h-to-find\"><strong><u>To Find<\/u><\/strong><\/h4>\n\n\n\n<p>We need to determine<\/p>\n\n\n\n<ul><li>The greatest possible fraction of the surface area that could be red.<\/li><\/ul>\n\n\n\n<h4 id=\"h-approach-working\"><strong><u>Approach &amp; Working<\/u><\/strong><\/h4>\n\n\n\n<p>To maximize the surface area, count as red, except the cube which is at the centre, all the other cubes must have their red surface area exposed.<\/p>\n\n\n\n<ul><li>Number of cubes with red surface area exposed = 27 \u2013 1 = 26<\/li><\/ul>\n\n\n\n<p>However, in each surface of the bigger cube, there will be 9 smaller cube surfaces, and there will be total 6 surfaces for the bigger cube.<\/p>\n\n\n\n<ul><li>Hence, total number of cube surfaces exposed = 9 * 6 = 54<\/li><li>Therefore, the greatest fraction = 26\/54 = 13\/27<\/li><\/ul>\n\n\n\n<p>Hence, the correct answer is option B.<\/p>\n\n\n\n<p><\/p>\n\n\n\n<blockquote class=\"wp-block-quote\"><p><strong>If you are planning to take the GMAT, we can help you with a personalized study plan and give you access to quality online content to prepare.<\/strong>&nbsp;<strong>Write to us at&nbsp;<a href=\"mailto:acethegmat@e-gmat.com\" target=\"_blank\" rel=\"noreferrer noopener\">acethegmat@e-gmat.com<\/a>. We are the&nbsp;<a href=\"https:\/\/gmatclub.com\/reviews\/e-gmat-6\" target=\"_blank\" rel=\"noreferrer noopener external\" data-wpel-link=\"external\">most reviewed GMAT prep company on gmatclub<\/a>&nbsp;with more than 2400 reviews&nbsp;<\/strong>and are the only prep company that has delivered&nbsp;<a href=\"https:\/\/e-gmat.com\/blogs\/e-gmat-review\/\" target=\"_blank\" rel=\"noreferrer noopener\" data-wpel-link=\"internal\">more than 700+ scores than any other GMAT club partner<strong>.<\/strong><\/a>&nbsp;<strong>Why don\u2019t you take a free trial and judge for yourself?<\/strong><\/p><\/blockquote>\n\n\n\n<div style=\"height:30px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n<div class=\"ub-buttons align-button-center\"  id=\"ub-button-22ee4182-2486-4165-aaf3-4ca758258a0e\"><div class=\"ub-button-container\">\n    <a href=\"https:\/\/resources.e-gmat.com\/sign-up-free-trial\" target=\"_blank\" rel=\"noopener noreferrer external\" class=\"ub-button-block-main ub-button-medium\" role=\"button\" data-wpel-link=\"external\">\n    <div class=\"ub-button-content-holder\"><span class=\"ub-button-icon-holder\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\"height=\"30\", width=\"30\"viewBox=\"0, 0, 512, 512\"><path fill=\"currentColor\" d=\"M256 0C114.6 0 0 114.6 0 256c0 141.4 114.6 256 256 256s256-114.6 256-256C512 114.6 397.4 0 256 0zM406.6 278.6l-103.1 103.1c-12.5 12.5-32.75 12.5-45.25 0s-12.5-32.75 0-45.25L306.8 288H128C110.3 288 96 273.7 96 256s14.31-32 32-32h178.8l-49.38-49.38c-12.5-12.5-12.5-32.75 0-45.25s32.75-12.5 45.25 0l103.1 103.1C414.6 241.3 416 251.1 416 256C416 260.9 414.6 270.7 406.6 278.6z\"><\/svg><\/span><span class=\"ub-button-block-btn\">Start your free trial<\/span>\n    <\/div><\/a><\/div><div class=\"ub-button-container\">\n    <a href=\"https:\/\/resources.e-gmat.com\/take-sigma-x-mock\" target=\"_blank\" rel=\"noopener noreferrer external\" class=\"ub-button-block-main ub-button-medium\" role=\"button\" data-wpel-link=\"external\">\n    <div class=\"ub-button-content-holder\"><span class=\"ub-button-icon-holder\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\"height=\"30\", width=\"30\"viewBox=\"0, 0, 448, 512\"><path fill=\"currentColor\" d=\"M246.6 233.4l-160-160c-12.5-12.5-32.75-12.5-45.25 0s-12.5 32.75 0 45.25L178.8 256l-137.4 137.4c-12.5 12.5-12.5 32.75 0 45.25C47.63 444.9 55.81 448 64 448s16.38-3.125 22.62-9.375l160-160C259.1 266.1 259.1 245.9 246.6 233.4zM438.6 233.4l-160-160c-12.5-12.5-32.75-12.5-45.25 0s-12.5 32.75 0 45.25L370.8 256l-137.4 137.4c-12.5 12.5-12.5 32.75 0 45.25C239.6 444.9 247.8 448 256 448s16.38-3.125 22.62-9.375l160-160C451.1 266.1 451.1 245.9 438.6 233.4z\"><\/svg><\/span><span class=\"ub-button-block-btn\">Take a free mock<\/span>\n    <\/div><\/a><\/div><\/div>","protected":false},"excerpt":{"rendered":"<p>OGQR 2020: Question No. 88 Each of 27 white 1-centimeter cubes will have exactly one face painted red. If these 27 cubes are joined together to form one large cube, as shown above, what is the greatest possible fraction of the surface area that could be red? Solution Given In this question, we are given [&hellip;]<\/p>\n","protected":false},"author":102413,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_et_pb_use_builder":"","_et_pb_old_content":"","_et_gb_content_width":"","ub_ctt_via":""},"categories":[104,44,94,60,100],"tags":[],"featured_image_src":null,"author_info":{"display_name":"Ashutosh","author_link":"https:\/\/e-gmat.com\/blogs\/author\/ashutoshe-gmat-com\/"},"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v17.1.1 (Yoast SEO v17.1) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Each of 27 white 1-centimeter cubes will have exactly one face painted red. If these 27 cubes are joined together to form one large cube, as shown above, what is the greatest possible fraction of the surface area that could be red? - OGQR 2020 Question #88 with Solution<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/e-gmat.com\/blogs\/each-of-27-white-1-centimeter-cubes-will-have-exactly-one-face-painted-red-if-these-27-cubes-are-joined-together-to-form-one-large-cube-as-shown-above-what-is-the-greatest-possible-fraction-of-the\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Each of 27 white 1-centimeter cubes will have exactly one face painted red. If these 27 cubes are joined together to form one large cube, as shown above, what is the greatest possible fraction of the surface area that could be red? - OGQR 2020 Question #88 with Solution\" \/>\n<meta property=\"og:description\" content=\"OGQR 2020: Question No. 88 Each of 27 white 1-centimeter cubes will have exactly one face painted red. If these 27 cubes are joined together to form one large cube, as shown above, what is the greatest possible fraction of the surface area that could be red? Solution Given In this question, we are given [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/e-gmat.com\/blogs\/each-of-27-white-1-centimeter-cubes-will-have-exactly-one-face-painted-red-if-these-27-cubes-are-joined-together-to-form-one-large-cube-as-shown-above-what-is-the-greatest-possible-fraction-of-the\/\" \/>\n<meta property=\"og:site_name\" content=\"e-GMAT Blog | Best GMAT blog on the planet\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/E-Gmat-499275643430980\" \/>\n<meta property=\"article:published_time\" content=\"2019-05-20T20:46:38+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2022-11-16T11:54:37+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/05\/88.png\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@e_GMAT\" \/>\n<meta name=\"twitter:site\" content=\"@e_GMAT\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Ashutosh\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Organization\",\"@id\":\"https:\/\/e-gmat.com\/blogs\/#organization\",\"name\":\"e-GMAT\",\"url\":\"https:\/\/e-gmat.com\/blogs\/\",\"sameAs\":[\"https:\/\/www.facebook.com\/E-Gmat-499275643430980\",\"https:\/\/www.linkedin.com\/in\/rajat-sadana-ba459a\/\",\"https:\/\/www.youtube.com\/user\/eGMATconcepts\",\"https:\/\/twitter.com\/e_GMAT\"],\"logo\":{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/e-gmat.com\/blogs\/#logo\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2018\/04\/logo-full.png\",\"contentUrl\":\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2018\/04\/logo-full.png\",\"width\":908,\"height\":802,\"caption\":\"e-GMAT\"},\"image\":{\"@id\":\"https:\/\/e-gmat.com\/blogs\/#logo\"}},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/e-gmat.com\/blogs\/#website\",\"url\":\"https:\/\/e-gmat.com\/blogs\/\",\"name\":\"e-GMAT Blog | Best GMAT blog on the planet\",\"description\":\"Prepare for your GMAT and MBA journey\",\"publisher\":{\"@id\":\"https:\/\/e-gmat.com\/blogs\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/e-gmat.com\/blogs\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"en-US\"},{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/e-gmat.com\/blogs\/each-of-27-white-1-centimeter-cubes-will-have-exactly-one-face-painted-red-if-these-27-cubes-are-joined-together-to-form-one-large-cube-as-shown-above-what-is-the-greatest-possible-fraction-of-the\/#primaryimage\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/05\/88.png\",\"contentUrl\":\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/05\/88.png\",\"width\":227,\"height\":183},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/e-gmat.com\/blogs\/each-of-27-white-1-centimeter-cubes-will-have-exactly-one-face-painted-red-if-these-27-cubes-are-joined-together-to-form-one-large-cube-as-shown-above-what-is-the-greatest-possible-fraction-of-the\/#webpage\",\"url\":\"https:\/\/e-gmat.com\/blogs\/each-of-27-white-1-centimeter-cubes-will-have-exactly-one-face-painted-red-if-these-27-cubes-are-joined-together-to-form-one-large-cube-as-shown-above-what-is-the-greatest-possible-fraction-of-the\/\",\"name\":\"Each of 27 white 1-centimeter cubes will have exactly one face painted red. If these 27 cubes are joined together to form one large cube, as shown above, what is the greatest possible fraction of the surface area that could be red? - OGQR 2020 Question #88 with Solution\",\"isPartOf\":{\"@id\":\"https:\/\/e-gmat.com\/blogs\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/e-gmat.com\/blogs\/each-of-27-white-1-centimeter-cubes-will-have-exactly-one-face-painted-red-if-these-27-cubes-are-joined-together-to-form-one-large-cube-as-shown-above-what-is-the-greatest-possible-fraction-of-the\/#primaryimage\"},\"datePublished\":\"2019-05-20T20:46:38+00:00\",\"dateModified\":\"2022-11-16T11:54:37+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/e-gmat.com\/blogs\/each-of-27-white-1-centimeter-cubes-will-have-exactly-one-face-painted-red-if-these-27-cubes-are-joined-together-to-form-one-large-cube-as-shown-above-what-is-the-greatest-possible-fraction-of-the\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/e-gmat.com\/blogs\/each-of-27-white-1-centimeter-cubes-will-have-exactly-one-face-painted-red-if-these-27-cubes-are-joined-together-to-form-one-large-cube-as-shown-above-what-is-the-greatest-possible-fraction-of-the\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/e-gmat.com\/blogs\/each-of-27-white-1-centimeter-cubes-will-have-exactly-one-face-painted-red-if-these-27-cubes-are-joined-together-to-form-one-large-cube-as-shown-above-what-is-the-greatest-possible-fraction-of-the\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Homepage\",\"item\":\"https:\/\/e-gmat.com\/blogs\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"GMAT Preparation\",\"item\":\"https:\/\/e-gmat.com\/blogs\/news\/gmat-prep\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"GMAT OG Solutions\",\"item\":\"https:\/\/e-gmat.com\/blogs\/news\/gmat-prep\/gmat-official-guide-solutions\/\"},{\"@type\":\"ListItem\",\"position\":4,\"name\":\"Each of 27 white 1-centimeter cubes will have exactly one face painted red. If these 27 cubes are joined together to form one large cube, as shown above, what is the greatest possible fraction of the surface area that could be red? &#8211; OGQR 2020 Question #88 with Solution\"}]},{\"@type\":\"Article\",\"@id\":\"https:\/\/e-gmat.com\/blogs\/each-of-27-white-1-centimeter-cubes-will-have-exactly-one-face-painted-red-if-these-27-cubes-are-joined-together-to-form-one-large-cube-as-shown-above-what-is-the-greatest-possible-fraction-of-the\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/e-gmat.com\/blogs\/each-of-27-white-1-centimeter-cubes-will-have-exactly-one-face-painted-red-if-these-27-cubes-are-joined-together-to-form-one-large-cube-as-shown-above-what-is-the-greatest-possible-fraction-of-the\/#webpage\"},\"author\":{\"@id\":\"https:\/\/e-gmat.com\/blogs\/#\/schema\/person\/8f114f8ffaa8bec0ec851db39a23bd00\"},\"headline\":\"Each of 27 white 1-centimeter cubes will have exactly one face painted red. If these 27 cubes are joined together to form one large cube, as shown above, what is the greatest possible fraction of the surface area that could be red? &#8211; OGQR 2020 Question #88 with Solution\",\"datePublished\":\"2019-05-20T20:46:38+00:00\",\"dateModified\":\"2022-11-16T11:54:37+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/e-gmat.com\/blogs\/each-of-27-white-1-centimeter-cubes-will-have-exactly-one-face-painted-red-if-these-27-cubes-are-joined-together-to-form-one-large-cube-as-shown-above-what-is-the-greatest-possible-fraction-of-the\/#webpage\"},\"wordCount\":324,\"commentCount\":1,\"publisher\":{\"@id\":\"https:\/\/e-gmat.com\/blogs\/#organization\"},\"image\":{\"@id\":\"https:\/\/e-gmat.com\/blogs\/each-of-27-white-1-centimeter-cubes-will-have-exactly-one-face-painted-red-if-these-27-cubes-are-joined-together-to-form-one-large-cube-as-shown-above-what-is-the-greatest-possible-fraction-of-the\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/05\/88.png\",\"articleSection\":[\"Geometry\",\"GMAT OG Solutions\",\"GMAT Preparation\",\"GMAT Quant\",\"Quant OG Solutions\"],\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/e-gmat.com\/blogs\/each-of-27-white-1-centimeter-cubes-will-have-exactly-one-face-painted-red-if-these-27-cubes-are-joined-together-to-form-one-large-cube-as-shown-above-what-is-the-greatest-possible-fraction-of-the\/#respond\"]}]},{\"@type\":\"Person\",\"@id\":\"https:\/\/e-gmat.com\/blogs\/#\/schema\/person\/8f114f8ffaa8bec0ec851db39a23bd00\",\"name\":\"Ashutosh\",\"image\":{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/e-gmat.com\/blogs\/#personlogo\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/09a09d4db8be9a09edc3bec0b8f69d24?s=96&d=blank&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/09a09d4db8be9a09edc3bec0b8f69d24?s=96&d=blank&r=g\",\"caption\":\"Ashutosh\"},\"url\":\"https:\/\/e-gmat.com\/blogs\/author\/ashutoshe-gmat-com\/\"}]}<\/script>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"Each of 27 white 1-centimeter cubes will have exactly one face painted red. If these 27 cubes are joined together to form one large cube, as shown above, what is the greatest possible fraction of the surface area that could be red? - OGQR 2020 Question #88 with Solution","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/e-gmat.com\/blogs\/each-of-27-white-1-centimeter-cubes-will-have-exactly-one-face-painted-red-if-these-27-cubes-are-joined-together-to-form-one-large-cube-as-shown-above-what-is-the-greatest-possible-fraction-of-the\/","og_locale":"en_US","og_type":"article","og_title":"Each of 27 white 1-centimeter cubes will have exactly one face painted red. If these 27 cubes are joined together to form one large cube, as shown above, what is the greatest possible fraction of the surface area that could be red? - OGQR 2020 Question #88 with Solution","og_description":"OGQR 2020: Question No. 88 Each of 27 white 1-centimeter cubes will have exactly one face painted red. If these 27 cubes are joined together to form one large cube, as shown above, what is the greatest possible fraction of the surface area that could be red? Solution Given In this question, we are given [&hellip;]","og_url":"https:\/\/e-gmat.com\/blogs\/each-of-27-white-1-centimeter-cubes-will-have-exactly-one-face-painted-red-if-these-27-cubes-are-joined-together-to-form-one-large-cube-as-shown-above-what-is-the-greatest-possible-fraction-of-the\/","og_site_name":"e-GMAT Blog | Best GMAT blog on the planet","article_publisher":"https:\/\/www.facebook.com\/E-Gmat-499275643430980","article_published_time":"2019-05-20T20:46:38+00:00","article_modified_time":"2022-11-16T11:54:37+00:00","og_image":[{"url":"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/05\/88.png"}],"twitter_card":"summary_large_image","twitter_creator":"@e_GMAT","twitter_site":"@e_GMAT","twitter_misc":{"Written by":"Ashutosh","Est. reading time":"2 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Organization","@id":"https:\/\/e-gmat.com\/blogs\/#organization","name":"e-GMAT","url":"https:\/\/e-gmat.com\/blogs\/","sameAs":["https:\/\/www.facebook.com\/E-Gmat-499275643430980","https:\/\/www.linkedin.com\/in\/rajat-sadana-ba459a\/","https:\/\/www.youtube.com\/user\/eGMATconcepts","https:\/\/twitter.com\/e_GMAT"],"logo":{"@type":"ImageObject","@id":"https:\/\/e-gmat.com\/blogs\/#logo","inLanguage":"en-US","url":"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2018\/04\/logo-full.png","contentUrl":"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2018\/04\/logo-full.png","width":908,"height":802,"caption":"e-GMAT"},"image":{"@id":"https:\/\/e-gmat.com\/blogs\/#logo"}},{"@type":"WebSite","@id":"https:\/\/e-gmat.com\/blogs\/#website","url":"https:\/\/e-gmat.com\/blogs\/","name":"e-GMAT Blog | Best GMAT blog on the planet","description":"Prepare for your GMAT and MBA journey","publisher":{"@id":"https:\/\/e-gmat.com\/blogs\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/e-gmat.com\/blogs\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"ImageObject","@id":"https:\/\/e-gmat.com\/blogs\/each-of-27-white-1-centimeter-cubes-will-have-exactly-one-face-painted-red-if-these-27-cubes-are-joined-together-to-form-one-large-cube-as-shown-above-what-is-the-greatest-possible-fraction-of-the\/#primaryimage","inLanguage":"en-US","url":"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/05\/88.png","contentUrl":"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/05\/88.png","width":227,"height":183},{"@type":"WebPage","@id":"https:\/\/e-gmat.com\/blogs\/each-of-27-white-1-centimeter-cubes-will-have-exactly-one-face-painted-red-if-these-27-cubes-are-joined-together-to-form-one-large-cube-as-shown-above-what-is-the-greatest-possible-fraction-of-the\/#webpage","url":"https:\/\/e-gmat.com\/blogs\/each-of-27-white-1-centimeter-cubes-will-have-exactly-one-face-painted-red-if-these-27-cubes-are-joined-together-to-form-one-large-cube-as-shown-above-what-is-the-greatest-possible-fraction-of-the\/","name":"Each of 27 white 1-centimeter cubes will have exactly one face painted red. If these 27 cubes are joined together to form one large cube, as shown above, what is the greatest possible fraction of the surface area that could be red? - OGQR 2020 Question #88 with Solution","isPartOf":{"@id":"https:\/\/e-gmat.com\/blogs\/#website"},"primaryImageOfPage":{"@id":"https:\/\/e-gmat.com\/blogs\/each-of-27-white-1-centimeter-cubes-will-have-exactly-one-face-painted-red-if-these-27-cubes-are-joined-together-to-form-one-large-cube-as-shown-above-what-is-the-greatest-possible-fraction-of-the\/#primaryimage"},"datePublished":"2019-05-20T20:46:38+00:00","dateModified":"2022-11-16T11:54:37+00:00","breadcrumb":{"@id":"https:\/\/e-gmat.com\/blogs\/each-of-27-white-1-centimeter-cubes-will-have-exactly-one-face-painted-red-if-these-27-cubes-are-joined-together-to-form-one-large-cube-as-shown-above-what-is-the-greatest-possible-fraction-of-the\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/e-gmat.com\/blogs\/each-of-27-white-1-centimeter-cubes-will-have-exactly-one-face-painted-red-if-these-27-cubes-are-joined-together-to-form-one-large-cube-as-shown-above-what-is-the-greatest-possible-fraction-of-the\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/e-gmat.com\/blogs\/each-of-27-white-1-centimeter-cubes-will-have-exactly-one-face-painted-red-if-these-27-cubes-are-joined-together-to-form-one-large-cube-as-shown-above-what-is-the-greatest-possible-fraction-of-the\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Homepage","item":"https:\/\/e-gmat.com\/blogs\/"},{"@type":"ListItem","position":2,"name":"GMAT Preparation","item":"https:\/\/e-gmat.com\/blogs\/news\/gmat-prep\/"},{"@type":"ListItem","position":3,"name":"GMAT OG Solutions","item":"https:\/\/e-gmat.com\/blogs\/news\/gmat-prep\/gmat-official-guide-solutions\/"},{"@type":"ListItem","position":4,"name":"Each of 27 white 1-centimeter cubes will have exactly one face painted red. If these 27 cubes are joined together to form one large cube, as shown above, what is the greatest possible fraction of the surface area that could be red? &#8211; OGQR 2020 Question #88 with Solution"}]},{"@type":"Article","@id":"https:\/\/e-gmat.com\/blogs\/each-of-27-white-1-centimeter-cubes-will-have-exactly-one-face-painted-red-if-these-27-cubes-are-joined-together-to-form-one-large-cube-as-shown-above-what-is-the-greatest-possible-fraction-of-the\/#article","isPartOf":{"@id":"https:\/\/e-gmat.com\/blogs\/each-of-27-white-1-centimeter-cubes-will-have-exactly-one-face-painted-red-if-these-27-cubes-are-joined-together-to-form-one-large-cube-as-shown-above-what-is-the-greatest-possible-fraction-of-the\/#webpage"},"author":{"@id":"https:\/\/e-gmat.com\/blogs\/#\/schema\/person\/8f114f8ffaa8bec0ec851db39a23bd00"},"headline":"Each of 27 white 1-centimeter cubes will have exactly one face painted red. If these 27 cubes are joined together to form one large cube, as shown above, what is the greatest possible fraction of the surface area that could be red? &#8211; OGQR 2020 Question #88 with Solution","datePublished":"2019-05-20T20:46:38+00:00","dateModified":"2022-11-16T11:54:37+00:00","mainEntityOfPage":{"@id":"https:\/\/e-gmat.com\/blogs\/each-of-27-white-1-centimeter-cubes-will-have-exactly-one-face-painted-red-if-these-27-cubes-are-joined-together-to-form-one-large-cube-as-shown-above-what-is-the-greatest-possible-fraction-of-the\/#webpage"},"wordCount":324,"commentCount":1,"publisher":{"@id":"https:\/\/e-gmat.com\/blogs\/#organization"},"image":{"@id":"https:\/\/e-gmat.com\/blogs\/each-of-27-white-1-centimeter-cubes-will-have-exactly-one-face-painted-red-if-these-27-cubes-are-joined-together-to-form-one-large-cube-as-shown-above-what-is-the-greatest-possible-fraction-of-the\/#primaryimage"},"thumbnailUrl":"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/05\/88.png","articleSection":["Geometry","GMAT OG Solutions","GMAT Preparation","GMAT Quant","Quant OG Solutions"],"inLanguage":"en-US","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/e-gmat.com\/blogs\/each-of-27-white-1-centimeter-cubes-will-have-exactly-one-face-painted-red-if-these-27-cubes-are-joined-together-to-form-one-large-cube-as-shown-above-what-is-the-greatest-possible-fraction-of-the\/#respond"]}]},{"@type":"Person","@id":"https:\/\/e-gmat.com\/blogs\/#\/schema\/person\/8f114f8ffaa8bec0ec851db39a23bd00","name":"Ashutosh","image":{"@type":"ImageObject","@id":"https:\/\/e-gmat.com\/blogs\/#personlogo","inLanguage":"en-US","url":"https:\/\/secure.gravatar.com\/avatar\/09a09d4db8be9a09edc3bec0b8f69d24?s=96&d=blank&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/09a09d4db8be9a09edc3bec0b8f69d24?s=96&d=blank&r=g","caption":"Ashutosh"},"url":"https:\/\/e-gmat.com\/blogs\/author\/ashutoshe-gmat-com\/"}]}},"_links":{"self":[{"href":"https:\/\/e-gmat.com\/blogs\/wp-json\/wp\/v2\/posts\/21361"}],"collection":[{"href":"https:\/\/e-gmat.com\/blogs\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/e-gmat.com\/blogs\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/e-gmat.com\/blogs\/wp-json\/wp\/v2\/users\/102413"}],"replies":[{"embeddable":true,"href":"https:\/\/e-gmat.com\/blogs\/wp-json\/wp\/v2\/comments?post=21361"}],"version-history":[{"count":0,"href":"https:\/\/e-gmat.com\/blogs\/wp-json\/wp\/v2\/posts\/21361\/revisions"}],"wp:attachment":[{"href":"https:\/\/e-gmat.com\/blogs\/wp-json\/wp\/v2\/media?parent=21361"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/e-gmat.com\/blogs\/wp-json\/wp\/v2\/categories?post=21361"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/e-gmat.com\/blogs\/wp-json\/wp\/v2\/tags?post=21361"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}