{"id":224506,"date":"2026-05-21T13:01:47","date_gmt":"2026-05-21T07:31:47","guid":{"rendered":"https:\/\/www.oliveboard.in\/blog\/?p=224506"},"modified":"2026-05-22T10:35:07","modified_gmt":"2026-05-22T05:05:07","slug":"3d-figure","status":"publish","type":"post","link":"https:\/\/www.oliveboard.in\/blog\/3d-figure\/","title":{"rendered":"3D Figure Formulas, Concepts, Strategies, Short Tricks, and Tips"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_77 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of content<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-toggle-hide-by-default' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/www.oliveboard.in\/blog\/3d-figure\/#Attempt_3D_Figure_Questions_Live_Quiz\" >Attempt 3D Figure Questions Live Quiz<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.oliveboard.in\/blog\/3d-figure\/#What_is_3D_Figure_in_Quantitative_Aptitude\" >What is 3D Figure in Quantitative Aptitude?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.oliveboard.in\/blog\/3d-figure\/#Why_is_3D_Figure_Important_in_Competitive_Exams\" >Why is 3D Figure Important in Competitive Exams?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.oliveboard.in\/blog\/3d-figure\/#3D_Figure_Quantitative_Aptitude_Short_Notes\" >3D Figure Quantitative Aptitude Short Notes<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.oliveboard.in\/blog\/3d-figure\/#Concepts_Based_on_3D_Figures\" >Concepts Based on 3D Figures<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.oliveboard.in\/blog\/3d-figure\/#What_are_the_types_of_3D_Figure_Questions_in_Quantitative_Aptitude\" >What are the types of 3D Figure Questions in Quantitative Aptitude?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/www.oliveboard.in\/blog\/3d-figure\/#3D_Figure_Formulas_for_Quantitative_Aptitude\" >3D Figure Formulas for Quantitative Aptitude<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/www.oliveboard.in\/blog\/3d-figure\/#3D_Figure_Tricks_for_SSC_CGL_and_Other_Exams\" >3D Figure Tricks for SSC CGL and Other Exams<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/www.oliveboard.in\/blog\/3d-figure\/#Common_Mistakes_to_Avoid_while_Solving_3D_Figure_Questions\" >Common Mistakes to Avoid while Solving 3D Figure Questions<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/www.oliveboard.in\/blog\/3d-figure\/#FAQs\" >FAQs<\/a><\/li><\/ul><\/nav><\/div>\n\n<p>3D Figures is an important topic in Quantitative Aptitude that frequently appears in competitive exams like SSC, Banking, and RRB. It tests your ability to visualize objects in three dimensions and analyze their properties such as faces, edges, vertices, and volumes. In this blog, we will cover the basic concepts of 3D figures, common question types, essential formulas, tricks to solve problems quickly, and more.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-attempt-3d-figure-questions-live-quiz\"><span class=\"ez-toc-section\" id=\"Attempt_3D_Figure_Questions_Live_Quiz\"><\/span>Attempt 3D Figure Questions Live Quiz<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Below are some important 3D Figure questions for <a href=\"https:\/\/www.oliveboard.in\/ssc-cgl-notification\/?ref=contmk-blog-theory-3d\" target=\"_blank\" rel=\"noreferrer noopener\">SSC CGL Exam<\/a> and other competitive exams for your practice. Attempt them live and check your score according to the real exam marking scheme.<\/p>\n\n\n\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-16018d1d wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/www.oliveboard.in\/3d-figure-questions-pdf\/?ref=contmk-blog-theory-3d\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>A<\/strong>ttempt Here<\/a><\/div>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-what-is-3d-figure-in-quantitative-aptitude\"><span class=\"ez-toc-section\" id=\"What_is_3D_Figure_in_Quantitative_Aptitude\"><\/span>What is 3D Figure in Quantitative Aptitude?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>3D Figure questions involve three-dimensional geometric shapes such as cubes, cuboids, spheres, cones, cylinders, pyramids, and prisms. These questions test your understanding of spatial relationships and the ability to calculate properties like volume, surface area, or the number of faces, edges, and vertices.<\/p>\n\n\n\n<p>This topic appears often in exams because it checks your logical reasoning, visualization skills, and mathematical knowledge. You need to interpret diagrams, count hidden edges or vertices, and apply formulas correctly.<\/p>\n\n\n\n<p>Skills required include:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Spatial visualization<\/li>\n\n\n\n<li>Logical deduction<\/li>\n\n\n\n<li>Basic geometry and measurement formulas<\/li>\n\n\n\n<li>Ability to decode diagrams and mentally rotate figures<\/li>\n<\/ul>\n\n\n\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-16018d1d wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/www.oliveboard.in\/ibps-po-mock-test\/?ref=contmk-theory-3d\" target=\"_blank\" rel=\"noreferrer noopener\">Attempt A Free IBPS PO Mock Test<\/a><\/div>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-why-is-3d-figure-important-in-competitive-exams\"><span class=\"ez-toc-section\" id=\"Why_is_3D_Figure_Important_in_Competitive_Exams\"><\/span>Why is 3D Figure Important in Competitive Exams?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>3D Figure questions are important as they test both your conceptual clarity and speed. They often carry moderate difficulty but are scoring if you practice well. Due to their straightforward nature and frequent appearance, they are crucial for candidates aiming to clear exams with good marks.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><strong>Exam<\/strong><\/td><td><strong>No. of Questions<\/strong><\/td><td><strong>Difficulty<\/strong><\/td><\/tr><tr><td><a href=\"https:\/\/www.oliveboard.in\/ssc-cgl\/?ref=contmk-blog-theory-3d\" target=\"_blank\" rel=\"noreferrer noopener\">SSC CG<\/a>L \/ <a href=\"https:\/\/www.oliveboard.in\/ssc-chsl\/?ref=contmk-blog-theory-3d\" target=\"_blank\" rel=\"noreferrer noopener\">SSC CHSL<\/a><\/td><td>1\u20132<\/td><td>Easy<\/td><\/tr><tr><td><a href=\"https:\/\/www.oliveboard.in\/ibps-po\/?ref=contmk-blog-theory-3d\" target=\"_blank\" rel=\"noreferrer noopener\">IBPS PO<\/a> \/ <a href=\"https:\/\/www.oliveboard.in\/sbi-po\/?ref=contmk-blog-theory-3d\" target=\"_blank\" rel=\"noreferrer noopener\">SBI PO<\/a><\/td><td>1\u20132<\/td><td>Moderate<\/td><\/tr><tr><td><a href=\"https:\/\/www.oliveboard.in\/railway-rrb-ntpc\/?ref=contmk-blog-theory-3d\" target=\"_blank\" rel=\"noreferrer noopener\">RRB NTPC<\/a> \/ <a href=\"https:\/\/www.oliveboard.in\/railways-rrb-group-d\/?ref=contmk-blog-theory-3d\" target=\"_blank\" rel=\"noreferrer noopener\">RRB Group D<\/a><\/td><td>1<\/td><td>Easy<\/td><\/tr><tr><td>State PSC \/ Police<\/td><td>1\u20132<\/td><td>Moderate<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-3d-figure-quantitative-aptitude-short-notes\"><span class=\"ez-toc-section\" id=\"3D_Figure_Quantitative_Aptitude_Short_Notes\"><\/span>3D Figure Quantitative Aptitude Short Notes<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Understanding basic terminology and concepts is key to solving 3D figure questions quickly. <\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><strong>Term<\/strong><\/td><td><strong>Details<\/strong><\/td><\/tr><tr><td>Face<\/td><td>Flat surface of a 3D shape<\/td><\/tr><tr><td>Edge<\/td><td>Line segment where two faces meet<\/td><\/tr><tr><td>Vertex<\/td><td>Point where edges meet<\/td><\/tr><tr><td>Cube<\/td><td>6 faces, 12 edges, 8 vertices<\/td><\/tr><tr><td>Cuboid<\/td><td>Rectangular box shape, similar to cube<\/td><\/tr><tr><td>Sphere<\/td><td>Perfect round 3D object, no edges or vertices<\/td><\/tr><tr><td>Cylinder<\/td><td>2 circular faces + 1 curved surface<\/td><\/tr><tr><td>Cone<\/td><td>1 circular base + 1 curved surface + 1 vertex<\/td><\/tr><tr><td>Prism<\/td><td>Polyhedron with two parallel faces<\/td><\/tr><tr><td>Pyramid<\/td><td>Base polygon + triangular faces meeting at a vertex<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-concepts-based-on-3d-figures\"><span class=\"ez-toc-section\" id=\"Concepts_Based_on_3D_Figures\"><\/span>Concepts Based on 3D Figures<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Concepts based on 3D figures are as follows:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><strong>Concept<\/strong><\/td><td><strong>Details<\/strong><\/td><\/tr><tr><td>Faces of a Cube<\/td><td>6 faces<\/td><\/tr><tr><td>Edges of a Cuboid<\/td><td>12 edges<\/td><\/tr><tr><td>Vertices of a Pyramid<\/td><td>Number of base vertices + 1<\/td><\/tr><tr><td>Volume of Cylinder<\/td><td>\u03c0r\u00b2h (r = radius, h = height)<\/td><\/tr><tr><td>Surface Area of Sphere<\/td><td>4\u03c0r\u00b2<\/td><\/tr><tr><td>Volume of Cone<\/td><td>(1\/3)\u03c0r\u00b2h<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-what-are-the-types-of-3d-figure-questions-in-quantitative-aptitude\"><span class=\"ez-toc-section\" id=\"What_are_the_types_of_3D_Figure_Questions_in_Quantitative_Aptitude\"><\/span>What are the types of 3D Figure Questions in Quantitative Aptitude?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>3D Figure questions come in various forms. Common types include:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Direct<\/strong>: Questions asking about faces, edges, vertices.<\/li>\n\n\n\n<li><strong>Puzzle-based<\/strong>: Visual puzzles requiring counting of hidden edges or vertices.<\/li>\n\n\n\n<li><strong>Coded (symbol-based)<\/strong>: Using symbols or codes to represent different faces or parts.<\/li>\n\n\n\n<li><strong>Mixed-concept Quantitative Aptitude<\/strong>: Combining 3D figures with mensuration or algebra.<\/li>\n<\/ul>\n\n\n\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-16018d1d wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/www.oliveboard.in\/sbi-po-mock-test\/?ref=contmk-blog-3d\" target=\"_blank\" rel=\"noreferrer noopener\">Attempt A Free SBI PO Mock Test<\/a><\/div>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-3d-figure-formulas-for-quantitative-aptitude\"><span class=\"ez-toc-section\" id=\"3D_Figure_Formulas_for_Quantitative_Aptitude\"><\/span>3D Figure Formulas for Quantitative Aptitude<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Memorizing formulas saves time during exams. Some important ones:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Cube Volume = a\u00b3 (a = side length)<\/li>\n\n\n\n<li>Cube Surface Area = 6a\u00b2<\/li>\n\n\n\n<li>Cuboid Volume = l \u00d7 b \u00d7 h<\/li>\n\n\n\n<li>Cuboid Surface Area = 2(lb + bh + hl)<\/li>\n\n\n\n<li>Sphere Volume = (4\/3)\u03c0r\u00b3<\/li>\n\n\n\n<li>Sphere Surface Area = 4\u03c0r\u00b2<\/li>\n\n\n\n<li>Cylinder Volume = \u03c0r\u00b2h<\/li>\n\n\n\n<li>Cylinder Surface Area = 2\u03c0r(h + r)<\/li>\n\n\n\n<li>Cone Volume = (1\/3)\u03c0r\u00b2h<\/li>\n\n\n\n<li>Cone Surface Area = \u03c0r(l + r) (l = slant height)<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-3d-figure-tricks-for-ssc-cgl-and-other-exams\"><span class=\"ez-toc-section\" id=\"3D_Figure_Tricks_for_SSC_CGL_and_Other_Exams\"><\/span>3D Figure Tricks for SSC CGL and Other Exams<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Follow these strategies to solve questions efficiently:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Visualize the figure carefully<\/strong> before counting edges or faces.<\/li>\n\n\n\n<li><strong>Use elimination<\/strong> to discard impossible options.<\/li>\n\n\n\n<li><strong>Remember key counts<\/strong> for standard solids (cube, cuboid, sphere).<\/li>\n\n\n\n<li><strong>Draw rough sketches<\/strong> if diagrams are missing.<\/li>\n\n\n\n<li><strong>Check for hidden edges or vertices<\/strong> in complex figures.<\/li>\n\n\n\n<li><strong>Use formulas smartly<\/strong>\u2014don\u2019t waste time deriving basics during exam.<\/li>\n\n\n\n<li><strong>Practice with memory-based questions<\/strong> from recent exams.<\/li>\n<\/ol>\n\n\n\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-16018d1d wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/www.oliveboard.in\/ssc-cgl-mock-test\/?ref=contmk-blog-3d\" target=\"_blank\" rel=\"noreferrer noopener\">Attempt A Free SSC CGL Mock Test<\/a><\/div>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-common-mistakes-to-avoid-while-solving-3d-figure-questions\"><span class=\"ez-toc-section\" id=\"Common_Mistakes_to_Avoid_while_Solving_3D_Figure_Questions\"><\/span>Common Mistakes to Avoid while Solving 3D Figure Questions<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Common mistakes to avoid while solving 3D figure questions are as follows:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Not visualizing the figure properly:<\/strong> Always try to sketch or mentally rotate the shape.<\/li>\n\n\n\n<li><strong>Forgetting hidden edges or vertices:<\/strong> Count carefully all edges including invisible ones.<\/li>\n\n\n\n<li><strong>Mixing up formulas:<\/strong> Remember which formula applies to which figure.<\/li>\n\n\n\n<li><strong>Ignoring units in volume or surface area:<\/strong> Always convert units before final answer.<\/li>\n\n\n\n<li><strong>Rushing through without reading carefully:<\/strong> Take time to understand what is asked exactly.<\/li>\n<\/ol>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-faqs\"><span class=\"ez-toc-section\" id=\"FAQs\"><\/span>FAQs<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<div class=\"schema-faq wp-block-yoast-faq-block\"><div class=\"schema-faq-section\" id=\"faq-question-1755010618094\"><strong class=\"schema-faq-question\">Q1. <strong>What are symbol-based 3D figure questions?<\/strong><\/strong> <p class=\"schema-faq-answer\">Questions where shapes or faces are represented by symbols, requiring decoding.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1755010619337\"><strong class=\"schema-faq-question\">Q2. <strong>How to count hidden edges in a 3D figure?<\/strong><\/strong> <p class=\"schema-faq-answer\">Visualize or sketch the figure to identify all edges, including those not visible directly.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1755010619913\"><strong class=\"schema-faq-question\">Q3. <strong>Which 3D figures are most common in exams?<\/strong><\/strong> <p class=\"schema-faq-answer\">Cube, cuboid, cylinder, cone, sphere, pyramid.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1755010620955\"><strong class=\"schema-faq-question\">Q4. <strong>Do state PSC exams ask 3D figure questions?<\/strong><\/strong> <p class=\"schema-faq-answer\">Yes, usually moderate difficulty.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1755010621552\"><strong class=\"schema-faq-question\">Q5. <strong>How to prepare for 3D figures effectively?<\/strong><\/strong> <p class=\"schema-faq-answer\">Practice questions from past papers and visualize daily objects as 3D figures.<\/p> <\/div> <\/div>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n<ul 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