Tuesday, 2 June 2026

Bank Exam Practice Material Series Page 19 | Advanced Mensuration Tricks and Area & Volume Calculation Methods

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Mensuration

Area & Volume

Heavy Standard Questions

Speed Tricks

Page 19 – Advanced Mensuration Tricks and Area & Volume Calculation Methods

Master advanced mensuration concepts, area formulas, volume calculations, and shortcut solving techniques for competitive examinations.

Why Mensuration is Important

Important topic in Bank and SSC exams
Improves geometry and calculation skills
Useful in DI and practical mathematics
Strengthens visualization ability
Enhances fast formula application techniques

Core Concepts Covered

Area of 2D Shapes
Volume of 3D Shapes
Surface Area Concepts
Cylinder & Cone Basics
Circle & Sphere Calculations

Important Mensuration Formulas

Area of Circle

Volume of Cylinder

Surface Area of Sphere

Advanced Mensuration Tricks

Trick 1 – Area of Circle

Radius = 7 cm

Area:

π × 7²

22/7 × 49

Answer = 154 cm²

Trick 2 – Volume of Cylinder

Radius = 3 cm Height = 10 cm

Volume:

π × 3² × 10

90π

Answer ≈ 282.6 cm³

Trick 3 – Surface Area of Sphere

Radius = 5 cm

4π × 5²

4π × 25

100π

Answer ≈ 314 cm²

Heavy Standard Practice Questions

Question 1

Find area of circle with radius 14 cm.

Answer = 616 cm²

Question 2

Find volume of cylinder with radius 7 cm and height 5 cm.

Answer = 770 cm³

Question 3

Find surface area of sphere with radius 3 cm.

Answer ≈ 113.04 cm²

Question 4

Find area of rectangle with length 25 cm and breadth 12 cm.

Answer = 300 cm²

Fast Revision Table

Concept	Shortcut Idea
Circle Area	Use πr² directly
Cylinder Volume	Multiply base area by height
Sphere Surface Area	Apply 4πr² formula
Rectangle Area	Length × Breadth