# CAT Geometry Mensuration Formulas, Syllabus and Points to Remember

By Aditi Joshi|Updated : January 14th, 2022

Mensuration, a sub-topic of Geometry, appears in the CAT Quantitative Aptitude section. It is an important topic for the CAT exam because this section analyses the diagnostic skills of the candidates to understand geometric figures and shapes. Therefore, the candidates appearing for CAT exam must have knowledge of these topics including cubes, cuboids, spheres, cylinders, cones, lines, coordinate geometry, volume, perimeter, and more.

As per the syllabus, there is a large number of Geometry and mensuration formulas for CAT, therefore most candidates find CAT geometry formulas difficult to remember at exam time. There were around 4-5 questions in CAT on this topic.

So, the aspirants must work towards revising these formulas regularly 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 exam include calculations related to various shapes and figures. Mensuration formulas 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 following topics also are covered in Geometry and Mensuration formulas for the CAT exam.

• 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 Mensuration Formulas for CAT

Before knowing the mensuration formulas for CAT, the candidates must be familiar with some important concepts that are highly recommended for preparing geometry and mensuration 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

## Frequently Used Mensuration Formulas for CAT Exam

 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 -

## Points to Remember for Geometry and Mensuration for CAT Exam

The candidates should also look after the following points at the time of preparation for Geometry and Mensuration formulas for CAT.

### Cuboid:

• It has a length (l), height (h), and breadth (b).

### Cube:

• It has 6 faces.
• It is a solid figure.
• Its length, breadth, and height are all equal.

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## FAQs

• No, not at all, but the candidates must have a strong grip on all the formulas related to this section

• It is not the same every year. The candidates expect 4-5 questions from CAT geometry and mensuration.

• It is up to you completely, but the suggestion is not to omit this part as it is scoring and also there are around 4-5 (Approx) questions from this section.

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