# Geometry Mensuration Questions for CAT: Formulae, Syllabus and Tips to Prepare

By BYJU'S Exam Prep

Updated on: September 13th, 2023

Geometry and Mensuration Questions for CAT are quite interesting, and it comes under the QA section. CAT Geometry and Mensuration is an important topic because this section analyses the diagnostic skills of the candidates to understand geometric figures and shapes. So the candidates appearing in the upcoming exam must solve as many Geometry and Mensuration Questions for CAT as possible to gain conceptual clarity for this section.

CAT Geometry and Mensuration include a variety of topics, including cubes, cuboids, spheres, cylinders, cones, lines, coordinate geometry, volume, perimeter, and more. There are many formulas also to solve Geometry and Mensuration Questions for CAT accurately and quickly. In this article, BYJU’S Exam Prep experts have mentioned all the details of CAT Geometry and Mensuration to help the candidates in their preparation.

Geometry and Mensuration Questions for CAT are quite interesting, and it comes under the QA section. CAT Geometry and Mensuration is an important topic because this section analyses the diagnostic skills of the candidates to understand geometric figures and shapes. So the candidates appearing in the upcoming exam must solve as many Geometry and Mensuration Questions for CAT as possible to gain conceptual clarity for this section.

CAT Geometry and Mensuration include a variety of topics, including cubes, cuboids, spheres, cylinders, cones, lines, coordinate geometry, volume, perimeter, and more. There are many formulas also to solve Geometry and Mensuration Questions for CAT accurately and quickly. In this article, BYJU’S Exam Prep experts have mentioned all the details of CAT Geometry and Mensuration to help the candidates in their preparation.

## What are CAT Geometry and Mensuration?

The candidates may know that mensuration is a sub-topic of geometry that appears in the CAT Quantitative Aptitude section. Geometry and Mensuration Questions for CAT are very important because these questions analyse the diagnostics skills of the candidates. As per the previous year’s CAT Analysis, CAT Geometry and Mensuration consist of questions which are generally asked from cubes, cuboids, spheres, cylinders, cones, lines, coordinate geometry, volume, perimeter, and more.

As per the CAT Syllabus, there is a large number of formulas for Geometry and Questions for CAT. Additionally, you can expect around 4-5 questions in CAT on this topic. So, the aspirants must work hard towards preparing and revising CAT Geometry and Mensuration questions to have a stronghold on these formulas with an understanding of their applicability.

## Syllabus for Geometry and Mensuration for CAT

Geometry and Mensuration for CAT include calculations related to various shapes and figures. Mensuration formulae for CAT mainly pertain to the measurement of surface area (both total and curved) and the volumes of solid figures, such as:

• Cube
• Cuboid
• Cone
• Cylinder
• Frustum
• Sphere
• Pyramid
• Prism

Additionally, the candidates have to prepare the following topics to prepare Geometry and Mensuration Questions for CAT

• Distance between two lines
• Concurrent lines and collinear points
• Equations for lines and circles
• Supplementary and complementary angle
• Different types of angles (acute angle, right angle, obtuse angle, isosceles, and equilateral)
• Different types of Triangles (acute-angled, right-angled, congruent, obtuse-angled)
• Angular and perpendicular bisector, altitude and median
• Different geometrical theorems like Pythagoras, Apollonius, inscribed angle, internal and external angular bisector, Midpoint, transversal and Basic proportionality
• Special triangles
• Polygon, hexagonal polygon, Rhombus, trapezoid, rectangle, and square

## Important Formulas for CAT Geometry and Mensuration

Before knowing the formulas to solve Geometry and Mensuration Questions for CAT, the candidates must be familiar with some important concepts that are highly recommended for preparing mensuration and Geometry for CAT.

• Length of cuboid and cubical room/ longest rod length
• The surface of the Pyramid (Measurement of both slant and whole surface)
• Frustum of a pyramid

Note the table below to know the formulas that are commonly used to solve Geometry and Mensuration Questions for CAT.

 Geometric Figure Surface area (total) Surface area (lateral) Volume Slant height/ length of diagonal Cuboid 2(LB + BH + HL) 2H (L + B) LBH √ (L^2 + H^2 + B^2) Cube 6a^2 4a^2 a^3 √3a Cone πr (r + l) πrl ⅓πr^2h √(h^2 + r^2) Frustum π(R1 + R2)s + (R1^2 + R2^2) π(R1 + R2)s ⅓πh(R1^2 + R2^2 + R1R2) √(h^2 + (R1 – R2)^2) Cylinder 2πr (r + h) 2πrh πr^2h – Sphere 4πr^2 4πr^2 4/3πr^3 – Hollow Cylinder 2π(r₁+r₂) (r₂-r₁+h) 2πh(r₁+r₂) πh(r₂²-r₁²) – Hemisphere 3πr^2 2πr^2 2/3πr^3 –

## How to Prepare Geometry and Mensuration Questions for CAT?

The candidates who are preparing for the upcoming exam must be well-versed in all the important concepts and formulas for CAT Geometry and Mensuration questions. It is actually needed because if you do not know the formulas, then it will be difficult for you to solve Geometry and Mensuration Questions for CAT. In the following sections, our experts have listed some important preparation tips to help you get a good CAT Result for these questions.

• First of all, note down all the important formulas for Geometry and Mensuration Questions for CAT. It is extremely important to maintain a notebook for this so that you can revise those easily in your free time.
• Practice more and more sample questions for CAT Geometry and Mensuration to get accustomed to the questions’ pattern, types and difficulty level.
• Join BYJU’S Exam Prep CAT Online Classes for instant support from our faculties and get your queries answered.
• Revise your basic knowledge related to geometry, like properties of triangles, circles, etc. So that you can understand the concepts and terminologies used in Geometry and Mensuration Questions for CAT.

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