{"id":21450,"date":"2019-05-21T14:47:13","date_gmt":"2019-05-21T09:17:13","guid":{"rendered":"https:\/\/e-gmat.com\/blogs\/?p=21450"},"modified":"2022-11-16T17:12:48","modified_gmt":"2022-11-16T11:42:48","slug":"the-figure-above-shows-a-piece-of-cheese-with-a-corner-cut-off-to-expose-plane-surface-abc-what-is-the-area-of-surface-abc-ogqr-2020-question-221-with-solution","status":"publish","type":"post","link":"https:\/\/e-gmat.com\/blogs\/the-figure-above-shows-a-piece-of-cheese-with-a-corner-cut-off-to-expose-plane-surface-abc-what-is-the-area-of-surface-abc-ogqr-2020-question-221-with-solution\/","title":{"rendered":"The figure above shows a piece of cheese with a corner cut off to expose plane surface\u00a0ABC. What is the area of surface\u00a0ABC? &#8211; OGQR 2020 Question #221 with Solution"},"content":{"rendered":"<span class=\"span-reading-time 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 class=\"wp-block-heading\" id=\"h-ogqr-2020-question-no-221\">OGQR 2020: Question No. 221<\/h2>\n\n\n\n<figure class=\"wp-block-image aligncenter\"><img decoding=\"async\" src=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2019\/05\/OGQR_DS_221.png\" alt=\"\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">The figure above shows a piece of cheese with a corner cut off to expose plane surface&nbsp;ABC. What is the area of surface&nbsp;ABC?<\/p>\n\n\n\n<ol class=\"wp-block-list\"><li>AD&nbsp;=&nbsp;10&nbsp;centimetres<\/li><li>The shape of the cheese was a cube before the corner was cut off<\/li><\/ol>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>Source<\/td><td><strong>OGQR 2020<\/strong><\/td><\/tr><tr><td>Type<\/td><td>Data Sufficiency<\/td><\/tr><tr><td>Topic<\/td><td>Geometry<\/td><\/tr><tr><td>Sub-Topic<\/td><td>Cubes (3D)\/Triangles<\/td><\/tr><tr><td>Difficulty<\/td><td>Medium &#8211; Hard<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\"><strong><u>Steps 1 &amp; 2: Understand Question and Draw Inferences<\/u><\/strong><\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">In this question, we are given:<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>A figure having a piece of cheese from which a corner has been cut off.<\/li><li>The removed corner exposes the plane surface ABC.<\/li><\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">We need to determine:<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>The area of the surface ABC.<\/li><\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">The surface ABC is in the shape of a triangle.<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Therefore, to find the area of ABC, we either need the length of all the 3 sides or length of 2 sides and angle between them.<\/li><\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">With this understanding, let us now analyse the individual statements.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><strong><u>Step 3: Analyse Statement 1<\/u><\/strong><\/h4>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u201cAD&nbsp;=&nbsp;10&nbsp;centimetres\u201d<\/em><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">From this statement, we cannot determine any information about the length of sides of the triangle.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Hence, statement 1 is not sufficient to answer the question.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><strong><u>Step 4: Analyse Statement 2<\/u><\/strong><\/h4>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u201cThe shape of the cheese was a cube before the corner was cut off\u201d<\/em><\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>From this statement, we can say that length of sides of the triangle are the face diagonals of the cube.<\/li><li>And, all the diagonals will be of the equal length<ul><li>Hence, ABC is an equilateral triangle.<\/li><\/ul><\/li><\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">However, we cannot determine any information about the length of sides of the triangle.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Hence, statement 2 is not sufficient to answer the question.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><strong><u>Step 5: Combine Both Statements Together (If Needed)<\/u><\/strong><\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">From Statement 1:<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>AD = 10 cm<\/li><\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">From Statement 2:<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>The length of sides of the triangle are the face diagonals of the cube.<\/li><li>ABC is an equilateral triangle.<\/li><\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Combining both the statements:<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Side of the cube= 10 cm<ul><li>Length of face diagonal of the cube = \u221a(10<sup>2<\/sup> + 10<sup>2<\/sup>) = 10\u221a2 cm.<\/li><\/ul><\/li><\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Now, we know the length of the side of the equilateral triangle. We can easily find the area of the surface ABC.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Since we could find the answer by combining both the statements, option C is the correct answer.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\"><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 style=\"gap: 20px\" class=\"align-button-center ub-buttons orientation-button-row ub-flex-wrap wp-block-ub-button\" id=\"ub-button-4b3806b5-b768-4a36-9b87-524605d9cc8c\"><div class=\"ub-button-container\">\n\t\t\t<a href=\"https:\/\/resources.e-gmat.com\/sign-up-free-trial\" target=\"_blank\" rel=\"noopener noreferrer\" class=\"ub-button-block-main  \" role=\"button\" style=\"--ub-button-background-color: #fcb900; --ub-button-color: #000000; --ub-button-border: none; --ub-button-hover-background-color: #cf2e2e; --ub-button-hover-color: #ffffff; --ub-button-hover-border: none; padding-top: 10px; padding-right: 10px; padding-bottom: 10px; padding-left: 10px; border-radius: 60px; \">\n\t\t\t\t<div class=\"ub-button-content-holder\" style=\"flex-direction: row\">\n\t\t\t\t\t<span class=\"ub-button-icon-holder\">\n\t\t\t\t<svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" height=\"30\" width=\"30\" viewbox=\"0 0 512 512\">\n\t\t\t\t\t<path fill=\"currentColor\" d=\"M0 256a256 256 0 1 0 512 0A256 256 0 1 0 0 256zM281 385c-9.4 9.4-24.6 9.4-33.9 0s-9.4-24.6 0-33.9l71-71L136 280c-13.3 0-24-10.7-24-24s10.7-24 24-24l182.1 0-71-71c-9.4-9.4-9.4-24.6 0-33.9s24.6-9.4 33.9 0L393 239c9.4 9.4 9.4 24.6 0 33.9L281 385z\">\n\t\t\t\t<\/path><\/svg>\n\t\t\t<\/span><span class=\"ub-button-block-btn\">Start your free trial<\/span>\n\t\t\t\t<\/div>\n\t\t\t<\/a>\n\t\t<\/div><div class=\"ub-button-container\">\n\t\t\t<a href=\"https:\/\/resources.e-gmat.com\/take-sigma-x-mock\" target=\"_blank\" rel=\"noopener noreferrer\" class=\"ub-button-block-main  \" role=\"button\" style=\"--ub-button-background-color: #0693e3; --ub-button-color: #ffffff; --ub-button-border: none; --ub-button-hover-background-color: #ff6900; --ub-button-hover-color: #000000; --ub-button-hover-border: none; padding-top: 10px; padding-right: 10px; padding-bottom: 10px; padding-left: 10px; border-radius: 60px; \">\n\t\t\t\t<div class=\"ub-button-content-holder\" style=\"flex-direction: row\">\n\t\t\t\t\t<span class=\"ub-button-icon-holder\">\n\t\t\t\t<svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" height=\"30\" width=\"30\" viewbox=\"0 0 448 512\">\n\t\t\t\t\t<path fill=\"currentColor\" d=\"M438.6 278.6c12.5-12.5 12.5-32.8 0-45.3l-160-160c-12.5-12.5-32.8-12.5-45.3 0s-12.5 32.8 0 45.3L370.7 256 233.4 393.4c-12.5 12.5-12.5 32.8 0 45.3s32.8 12.5 45.3 0l160-160zm-352 160l160-160c12.5-12.5 12.5-32.8 0-45.3l-160-160c-12.5-12.5-32.8-12.5-45.3 0s-12.5 32.8 0 45.3L178.7 256 41.4 393.4c-12.5 12.5-12.5 32.8 0 45.3s32.8 12.5 45.3 0z\">\n\t\t\t\t<\/path><\/svg>\n\t\t\t<\/span><span class=\"ub-button-block-btn\">Take a free mock<\/span>\n\t\t\t\t<\/div>\n\t\t\t<\/a>\n\t\t<\/div><\/div>","protected":false},"excerpt":{"rendered":"<p>OGQR 2020: Question No. 221 The figure above shows a piece of cheese with a corner cut off to expose plane surface&nbsp;ABC. What is the area of surface&nbsp;ABC? AD&nbsp;=&nbsp;10&nbsp;centimetres The shape of the cheese was a cube before the corner was cut off Source OGQR 2020 Type Data Sufficiency Topic Geometry Sub-Topic Cubes (3D)\/Triangles Difficulty [&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":"","footnotes":""},"categories":[104,44,94,60,100],"tags":[],"class_list":["post-21450","post","type-post","status-publish","format-standard","hentry","category-geometry","category-gmat-official-guide-solutions","category-gmat-prep","category-gmat-quant","category-quant-official-guide-solutions","et-doesnt-have-format-content","et_post_format-et-post-format-standard"],"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 plugin v28.2 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>The figure above shows a piece of cheese with a corner cut off to expose plane surface\u00a0ABC. 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