{"id":21375,"date":"2019-05-21T02:54:39","date_gmt":"2019-05-20T21:24:39","guid":{"rendered":"https:\/\/e-gmat.com\/blogs\/?p=21375"},"modified":"2023-03-31T10:53:58","modified_gmt":"2023-03-31T05:23:58","slug":"og-q86-when-a-rectangular-vat-that-is-3-feet-deep","status":"publish","type":"post","link":"https:\/\/e-gmat.com\/blogs\/og-q86-when-a-rectangular-vat-that-is-3-feet-deep\/","title":{"rendered":"GMAT Quant OGQR 2020 Question #86 with Solution -&#8220;When a rectangular vat that is 3 feet deep&#8230;&#8221;"},"content":{"rendered":"<span class=\"rt-reading-time\" style=\"display: block;\"><span class=\"rt-label rt-prefix\">A <\/span> <span class=\"rt-time\">&lt; 1<\/span> <span class=\"rt-label rt-postfix\">min read <\/span><\/span>\n<h2 id=\"h-pqid-ps95602-01-ogqr-2020-question-no-96\">PQID &#8211; PS95602.01 | OGQR 2020: Question No. 96<\/h2>\n\n\n\n<p>When a rectangular vat that is 3 feet deep is filled to (2\/3) of its capacity, it contains 60 gallons of water. If 7 1\/2 gallons of water occupies 1 cubic foot of space, what is the area, in square feet, of the base of the vat?<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>Source<\/td><td>OGQR 2020<\/td><\/tr><tr><td>Type<\/td><td>Problem Solving<\/td><\/tr><tr><td>Topic<\/td><td>Geometry<\/td><\/tr><tr><td>Sub-Topic<\/td><td>Rectangular Solids<\/td><\/tr><tr><td>Difficulty<\/td><td>Medium<\/td><\/tr><\/tbody><\/table><\/figure>\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>When a rectangular vat that is 3 feet deep is filled to 2\/3 of its capacity, it contains 60 gallons of water.<\/li><li>7(\u00bd) gallons of water occupies 1 cubic foot of space.<\/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 area, in square feet, of the base of the vat.<\/li><\/ul>\n\n\n\n<h4 id=\"h-approach-working\"><strong><u>Approach &amp; Working<\/u><\/strong><\/h4>\n\n\n\n<p>When the vat is filled to 2\/3 of its capacity, it contains 60 gallons of water.<\/p>\n\n\n\n<ul><li>Hence, the capacity of the vat = 60 * 3\/2 = 90 gallons<\/li><li>The space occupied, when the vat is fully filled = 90\/7.5 = 12 cubic feet<\/li><\/ul>\n\n\n\n<p>If the area of the base is n, then we can say<\/p>\n\n\n\n<ul><li>Area of the base * height = volume (or space occupied)<\/li><\/ul>\n\n\n\n<p>Or, n * 3 = 12<\/p>\n\n\n\n<p>Or, n = 4<\/p>\n\n\n\n<p>Hence, the correct answer is option A.<\/p>\n\n\n\n<h3>Takeaways:<\/h3>\n\n\n\n<ol type=\"1\"><li>If 2\/3<sup>rd<\/sup> of something is \u2018X\u2019, then total of that = X * 3\/2<\/li><li>Volume = Area of base * height<\/li><\/ol>\n\n\n\n<blockquote class=\"wp-block-quote\"><p>Did you know a 700+ GMAT Score can increase your chances to get into your dream business school? We can help you achieve that. Why don\u2019t you<a href=\"https:\/\/e-gmat.com\/ft-gmat\/?channel=blogsin_article&amp;utm_source=blogs&amp;utm_medium=in_article&amp;utm_campaign=free_trial&amp;utm_term=blogs_in_article_lekhika\" target=\"_blank\" rel=\"noopener noreferrer external\" data-wpel-link=\"external\">&nbsp;<strong>try out our FREE Trial?<\/strong><\/a><strong>&nbsp;<\/strong>We are the<strong>&nbsp;<a href=\"https:\/\/gmatclub.com\/reviews\/e-gmat-6\" target=\"_blank\" rel=\"noopener noreferrer external\" data-wpel-link=\"external\">most reviewed online GMAT Preparation company in GMATClub<\/a><\/strong>&nbsp;with more than 2500 reviews as of February 2023.<\/p><\/blockquote>\n\n\n<div class=\"ub-buttons align-button-center\"  id=\"ub-button-438c962a-5edb-4a25-8a02-b397661bc52d\"><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 ub-button-flex-medium\" role=\"button\" data-wpel-link=\"external\">\n    <div class=\"ub-button-content-holder\"><span class=\"ub-button-block-btn\">Sign up for a Free Trial<\/span>\n    <\/div><\/a><\/div><\/div>","protected":false},"excerpt":{"rendered":"<p>PQID &#8211; PS95602.01 | OGQR 2020: Question No. 96 When a rectangular vat that is 3 feet deep is filled to (2\/3) of its capacity, it contains 60 gallons of water. If 7 1\/2 gallons of water occupies 1 cubic foot of space, what is the area, in square feet, of the base of the [&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>GMAT Quant OGQR 2020 Question #86 with Solution -&quot;When a rectangular vat that is 3 feet deep...&quot;<\/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\/og-q86-when-a-rectangular-vat-that-is-3-feet-deep\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"GMAT Quant OGQR 2020 Question #86 with Solution -&quot;When a rectangular vat that is 3 feet deep...&quot;\" \/>\n<meta property=\"og:description\" content=\"PQID &#8211; PS95602.01 | OGQR 2020: Question No. 96 When a rectangular vat that is 3 feet deep is filled to (2\/3) of its capacity, it contains 60 gallons of water. If 7 1\/2 gallons of water occupies 1 cubic foot of space, what is the area, in square feet, of the base of the [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/e-gmat.com\/blogs\/og-q86-when-a-rectangular-vat-that-is-3-feet-deep\/\" \/>\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=\"2019-05-20T21:24:39+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2023-03-31T05:23:58+00:00\" \/>\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\":\"WebPage\",\"@id\":\"https:\/\/e-gmat.com\/blogs\/og-q86-when-a-rectangular-vat-that-is-3-feet-deep\/#webpage\",\"url\":\"https:\/\/e-gmat.com\/blogs\/og-q86-when-a-rectangular-vat-that-is-3-feet-deep\/\",\"name\":\"GMAT Quant OGQR 2020 Question #86 with Solution -\\\"When a rectangular vat that is 3 feet deep...\\\"\",\"isPartOf\":{\"@id\":\"https:\/\/e-gmat.com\/blogs\/#website\"},\"datePublished\":\"2019-05-20T21:24:39+00:00\",\"dateModified\":\"2023-03-31T05:23:58+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/e-gmat.com\/blogs\/og-q86-when-a-rectangular-vat-that-is-3-feet-deep\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/e-gmat.com\/blogs\/og-q86-when-a-rectangular-vat-that-is-3-feet-deep\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/e-gmat.com\/blogs\/og-q86-when-a-rectangular-vat-that-is-3-feet-deep\/#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\":\"GMAT Quant OGQR 2020 Question #86 with Solution -&#8220;When a rectangular vat that is 3 feet deep&#8230;&#8221;\"}]},{\"@type\":\"Article\",\"@id\":\"https:\/\/e-gmat.com\/blogs\/og-q86-when-a-rectangular-vat-that-is-3-feet-deep\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/e-gmat.com\/blogs\/og-q86-when-a-rectangular-vat-that-is-3-feet-deep\/#webpage\"},\"author\":{\"@id\":\"https:\/\/e-gmat.com\/blogs\/#\/schema\/person\/8f114f8ffaa8bec0ec851db39a23bd00\"},\"headline\":\"GMAT Quant OGQR 2020 Question #86 with Solution -&#8220;When a rectangular vat that is 3 feet deep&#8230;&#8221;\",\"datePublished\":\"2019-05-20T21:24:39+00:00\",\"dateModified\":\"2023-03-31T05:23:58+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/e-gmat.com\/blogs\/og-q86-when-a-rectangular-vat-that-is-3-feet-deep\/#webpage\"},\"wordCount\":255,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/e-gmat.com\/blogs\/#organization\"},\"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\/og-q86-when-a-rectangular-vat-that-is-3-feet-deep\/#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":"GMAT Quant OGQR 2020 Question #86 with Solution -\"When a rectangular vat that is 3 feet deep...\"","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\/og-q86-when-a-rectangular-vat-that-is-3-feet-deep\/","og_locale":"en_US","og_type":"article","og_title":"GMAT Quant OGQR 2020 Question #86 with Solution -\"When a rectangular vat that is 3 feet deep...\"","og_description":"PQID &#8211; PS95602.01 | OGQR 2020: Question No. 96 When a rectangular vat that is 3 feet deep is filled to (2\/3) of its capacity, it contains 60 gallons of water. If 7 1\/2 gallons of water occupies 1 cubic foot of space, what is the area, in square feet, of the base of the [&hellip;]","og_url":"https:\/\/e-gmat.com\/blogs\/og-q86-when-a-rectangular-vat-that-is-3-feet-deep\/","og_site_name":"e-GMAT Blog | Best GMAT blog on the planet","article_publisher":"https:\/\/www.facebook.com\/E-Gmat-499275643430980","article_published_time":"2019-05-20T21:24:39+00:00","article_modified_time":"2023-03-31T05:23:58+00:00","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":"WebPage","@id":"https:\/\/e-gmat.com\/blogs\/og-q86-when-a-rectangular-vat-that-is-3-feet-deep\/#webpage","url":"https:\/\/e-gmat.com\/blogs\/og-q86-when-a-rectangular-vat-that-is-3-feet-deep\/","name":"GMAT Quant OGQR 2020 Question #86 with Solution -\"When a rectangular vat that is 3 feet deep...\"","isPartOf":{"@id":"https:\/\/e-gmat.com\/blogs\/#website"},"datePublished":"2019-05-20T21:24:39+00:00","dateModified":"2023-03-31T05:23:58+00:00","breadcrumb":{"@id":"https:\/\/e-gmat.com\/blogs\/og-q86-when-a-rectangular-vat-that-is-3-feet-deep\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/e-gmat.com\/blogs\/og-q86-when-a-rectangular-vat-that-is-3-feet-deep\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/e-gmat.com\/blogs\/og-q86-when-a-rectangular-vat-that-is-3-feet-deep\/#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":"GMAT Quant OGQR 2020 Question #86 with Solution -&#8220;When a rectangular vat that is 3 feet deep&#8230;&#8221;"}]},{"@type":"Article","@id":"https:\/\/e-gmat.com\/blogs\/og-q86-when-a-rectangular-vat-that-is-3-feet-deep\/#article","isPartOf":{"@id":"https:\/\/e-gmat.com\/blogs\/og-q86-when-a-rectangular-vat-that-is-3-feet-deep\/#webpage"},"author":{"@id":"https:\/\/e-gmat.com\/blogs\/#\/schema\/person\/8f114f8ffaa8bec0ec851db39a23bd00"},"headline":"GMAT Quant OGQR 2020 Question #86 with Solution -&#8220;When a rectangular vat that is 3 feet deep&#8230;&#8221;","datePublished":"2019-05-20T21:24:39+00:00","dateModified":"2023-03-31T05:23:58+00:00","mainEntityOfPage":{"@id":"https:\/\/e-gmat.com\/blogs\/og-q86-when-a-rectangular-vat-that-is-3-feet-deep\/#webpage"},"wordCount":255,"commentCount":0,"publisher":{"@id":"https:\/\/e-gmat.com\/blogs\/#organization"},"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\/og-q86-when-a-rectangular-vat-that-is-3-feet-deep\/#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\/21375"}],"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=21375"}],"version-history":[{"count":1,"href":"https:\/\/e-gmat.com\/blogs\/wp-json\/wp\/v2\/posts\/21375\/revisions"}],"predecessor-version":[{"id":44816,"href":"https:\/\/e-gmat.com\/blogs\/wp-json\/wp\/v2\/posts\/21375\/revisions\/44816"}],"wp:attachment":[{"href":"https:\/\/e-gmat.com\/blogs\/wp-json\/wp\/v2\/media?parent=21375"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/e-gmat.com\/blogs\/wp-json\/wp\/v2\/categories?post=21375"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/e-gmat.com\/blogs\/wp-json\/wp\/v2\/tags?post=21375"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}