Bank Exam Speed Maths Master Series Page 19 | Mensuration Tricks & Fast Calculation Methods

 

 Bank Exam Speed Maths Master Series – Page 19

Mensuration Tricks & Fast Calculation Methods

Shaktimatha Learning – Speed Maths Academy
Learn Mensuration shortcut tricks, aptitude formulas, and fast calculation methods for Bank Exams, SSC, Railways, Insurance, and Competitive Exams.

Importance of Mensuration in Competitive Exams

Mensuration is one of the most important mathematical topics in:

• Bank Exams
• SSC
• Railway Exams
• Insurance Exams
• Quantitative Aptitude

This topic is highly useful in:

• Area & Volume calculations
• Geometry problems
• Data Interpretation
• Practical aptitude questions
• Engineering mathematics basics

🎯 What is Mensuration?

Mensuration deals with:

• Area
• Perimeter
• Surface Area
• Volume

of 2D and 3D shapes.

Square Formulas

Area of Square

0

Perimeter of Square

1

 Trick 1: Rectangle Shortcut

Area Formula

2

Perimeter Formula

3

Example:

Length = 15 cm
Breadth = 10 cm

Area:

15 × 10

✅ Answer = 150 cm²

Perimeter:

2(15+10)

✅ Answer = 50 cm

 Trick 2: Triangle Shortcut

Area Formula

4

Example:

Base = 20 cm
Height = 12 cm

Area:

1/2 × 20 × 12

✅ Answer = 120 cm²

 Trick 3: Circle Shortcut

Area Formula

5

Circumference Formula

6

Example:

Radius = 14 cm

Area:

22/7 × 14 × 14

✅ Answer = 616 cm²

Circumference:

2 × 22/7 × 14

✅ Answer = 88 cm

 Trick 4: Cube Shortcut

Volume Formula

7

Surface Area Formula

8

Example:

Side = 5 cm

Volume:

5³

✅ Answer = 125 cm³

Surface area:

6 × 25

✅ Answer = 150 cm²

 Trick 5: Cylinder Shortcut

Volume Formula

9

Example:

Radius = 7 cm
Height = 10 cm

Volume:

22/7 × 7 × 7 × 10

✅ Answer = 1540 cm³

Trick 6: Sphere Shortcut

Volume Formula

10

Example:

Radius = 3 cm

Volume:

4/3 × π × 27

✅ Answer = 36π cm³

Important Observation Trick

Memorizing standard formulas saves huge calculation time in:

• Geometry
• Mensuration
• Quantitative aptitude

 Important Mensuration Shortcuts

Topic	Shortcut
Square Area	a²
Rectangle Area	l × b
Triangle Area	1/2 bh
Circle Area	πr²
Cylinder Volume	πr²h
Cube Volume	a³

 Practice Questions

1. Find area of square with side 18 cm
2. Find volume of cube with side 4 cm
3. Find circumference of circle with radius 21 cm
4. Find area of triangle with base 16 cm and height 10 cm
5. Find volume of cylinder with radius 3 cm and height 7 cm

✅ Answers

1. 324 cm²
2. 64 cm³
3. 132 cm
4. 80 cm²
5. 198 cm³

🎯 Preparation Strategy:
Practice area formulas, volume formulas, surface area calculations, and circle & cylinder shortcuts daily to improve mensuration solving ability.

“Formula Mastery Transforms Difficult Mensuration Problems Into Easy Scoring Opportunities.”

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