{"id":21072,"date":"2019-05-14T11:52:48","date_gmt":"2019-05-14T06:22:48","guid":{"rendered":"https:\/\/e-gmat.com\/blogs\/?p=21072"},"modified":"2023-03-31T10:41:05","modified_gmt":"2023-03-31T05:11:05","slug":"og-q376-a-rectangular-solid-has-length-width-and-height","status":"publish","type":"post","link":"https:\/\/e-gmat.com\/blogs\/og-q376-a-rectangular-solid-has-length-width-and-height\/","title":{"rendered":"GMAT Quant OG 2020 Question #376 with Solution -&#8220;A rectangular solid has length, width, and height&#8230;&#8221;"},"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>OGQR 2020: Question No. 376<\/h2>\n\n\n\n<p>A rectangular solid has length, width, and height of L cm, W cm, and H cm, respectively. If these dimensions are increased by x%, y%, and z%, respectively, what is the percentage increase in the total surface area of the solid?<\/p>\n\n\n\n<ol type=\"1\"><li>L, W, and H are in the ratios of 5:3:4.<\/li><li>x = 5, y = 10, z = 20<\/li><\/ol>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><strong>Source<\/strong><\/td><td><strong>OG 2020<\/strong><\/td><\/tr><tr><td>Type<\/td><td>Data Sufficiency<\/td><\/tr><tr><td>Topic<\/td><td>Geometry\/Word Problems<\/td><\/tr><tr><td>Sub-Topic<\/td><td>Rectangular Solids\/Percentages<\/td><\/tr><tr><td>Difficulty<\/td><td>Hard<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 id=\"h-solution\">Solution<\/h2>\n\n\n\n<h4 id=\"h-steps-1-2-understand-question-and-draw-inferences\"><strong><u>Steps 1 &amp; 2: Understand Question and Draw Inferences<\/u><\/strong><\/h4>\n\n\n\n<p>In this question, we are given<\/p>\n\n\n\n<ul><li>A rectangular solid has length, width, and height of L cm, W cm, and H cm, respectively.<\/li><\/ul>\n\n\n\n<p>We need to determine<\/p>\n\n\n\n<ul><li>The corresponding percentage increase in the total surface area of the solid, if the length, width, and height are increased by x%, y% and z% respectively.<\/li><\/ul>\n\n\n\n<p>The total surface area of the rectangular solid, before increase = 2(LW + LH + WH)<\/p>\n\n\n\n<p>To increase the percentage of the total surface area, we need to know<\/p>\n\n\n\n<ul><li>The values of L, W, H, before increase (or say, the ratio of L, W, H) and<\/li><li>The values of x, y, and z.<\/li><\/ul>\n\n\n\n<p>With this understanding, let us now analyse the individual statements.<\/p>\n\n\n\n<h4 id=\"h-step-3-analyse-statement-1\"><strong><u>Step 3: Analyse Statement 1<\/u><\/strong><\/h4>\n\n\n\n<p>As per the information given in statement 1, L, W, and H are in the ratios of 5: 3: 4.<\/p>\n\n\n\n<ul><li>However, from this statement, we cannot determine the values of x, y, and z.<\/li><\/ul>\n\n\n\n<p>Hence, statement 1 is not sufficient to answer the question.<\/p>\n\n\n\n<h4 id=\"h-step-4-analyse-statement-2\"><strong><u>Step 4: Analyse Statement 2<\/u><\/strong><\/h4>\n\n\n\n<p>As per the information given in statement 2, x = 5, y = 10, z = 20.<\/p>\n\n\n\n<ul><li>However, from this statement, we cannot determine the values of L, W, and H (or their ratios).<\/li><\/ul>\n\n\n\n<p>Hence, statement 2 is not sufficient to answer the question.<\/p>\n\n\n\n<h4 id=\"h-step-5-combine-both-statements-together-if-needed\"><strong><u>Step 5: Combine Both Statements Together (If Needed)<\/u><\/strong><\/h4>\n\n\n\n<p>Combining information from both statements, we get<\/p>\n\n\n\n<ul><li>L: W: H = 5: 3: 4 and x = 5, y = 10, z = 20.<\/li><\/ul>\n\n\n\n<p>As we have all the necessary information to calculate the percentage increase, we can say the correct answer is option C.<\/p>\n\n\n\n<h3>Takeaways<\/h3>\n\n\n\n<ol type=\"1\"><li>Total Surface Area of a cuboid\/rectangular box = 2(LW + WH + LH)<\/li><li>If x is the original value and y is the increased value, then the percentage increase from x to y can be calculated as:<ol><li>Percentage increase = {(New \u2013 Original)\/Original} * 100<ol><li>&nbsp;= {(y \u2013 x)\/x} * 100<\/li><\/ol><\/li><\/ol><\/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-cc5d2da8-bae5-438e-9b2e-8c180dcefaba\"><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>OGQR 2020: Question No. 376 A rectangular solid has length, width, and height of L cm, W cm, and H cm, respectively. If these dimensions are increased by x%, y%, and z%, respectively, what is the percentage increase in the total surface area of the solid? L, W, and H are in the ratios of [&hellip;]<\/p>\n","protected":false},"author":79663,"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":[104,44,94,60,100,102],"tags":[],"featured_image_src":null,"author_info":{"display_name":"Juhi Gupta","author_link":"https:\/\/e-gmat.com\/blogs\/author\/juhie-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 OG 2020 Question #376 with Solution -&quot;A rectangular solid has length, width, and height...&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-q376-a-rectangular-solid-has-length-width-and-height\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"GMAT Quant OG 2020 Question #376 with Solution -&quot;A rectangular solid has length, width, and height...&quot;\" \/>\n<meta property=\"og:description\" content=\"OGQR 2020: Question No. 376 A rectangular solid has length, width, and height of L cm, W cm, and H cm, respectively. 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