Mensuration for CUET  GAT 2026 – Complete Concept, Formulas, Tricks and MCQs

Mensuration for CUET GAT 2026 : Mensuration is one of the most important topics in Quantitative Aptitude for CUET UG GAT 2026, SSC, Banking, and other competitive exams. It deals with the measurement of shapes, areas, perimeters, surface areas, and volumes of 2D and 3D figures.

Students who master Mensuration can solve questions quickly and score high marks because the formulas are fixed and questions follow predictable patterns.

This guide covers:

• Mensuration definition
• Important formulas
• Short tricks
• Common patterns
• 20 high-level MCQs with solutions
• FAQs for CUET 2026

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What is Mensuration?

Mensuration is a branch of mathematics that deals with the measurement of geometric figures such as:

• Square
• Rectangle
• Triangle
• Circle
• Cylinder
• Cone
• Sphere
• Cube
• Cuboid

It helps us calculate:

• Area
• Perimeter
• Surface Area
• Volume

In simple words:

Mensuration is the mathematics of measuring shapes.

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Important Mensuration Formulas

2D Shapes Form

Square
Area = a²
Perimeter = 4a

Rectangle
Area = l × b
Perimeter = 2(l + b)

Triangle
Area = 1/2 × base × height

Circle
Area = πr²
Circumference = 2πr

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3D Shapes Formulas

Cube
Volume = a³
Surface Area = 6a²

Cuboid
Volume = l × b × h
Surface Area = 2(lb + bh + lh)

Cylinder
Volume = πr²h
Surface Area = 2πr(h + r)

Sphere
Volume = 4/3 πr³
Surface Area = 4πr²

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Why Mensuration is Important for CUET UG GAT 2026

Mensuration is a high-scoring and frequently asked topic in CUET exams.

Key Reasons:

1. Direct formula-based questions
2. Predictable question patterns
3. Less calculation complexity
4. High scoring topic
5. Appears every year in exams

Expected Weightage:

2 to 4 Questions in CUET UG GAT

Difficulty Level:

Easy to Moderate

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Common Patterns of Mensuration Questions in CUET

Most questions follow these patterns:

(1) Area of a shape finding

(2) Volume of 3D figure finding

(3) Find perimeter or circumference

(4) Missing dimension finding

(5) Compare two shapes

(6) Word problem based on real-life situations

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Short Tricks to Solve Mensuration Questions Fast

Trick 1 — Remember π Value

Use:

π = 22/7

This makes calculations faster.

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Trick 2 — Square Shortcut

If side = 15

Area:

15² = 225

No need for multiplication steps.

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Trick 3 — Cylinder Volume Shortcut

Volume:

πr²h

Square radius first
Then multiply by height
Then multiply by π

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Trick 4 — Rectangle Perimeter Shortcut

Perimeter:

2(l + b)

Add length and breadth first
Then multiply by 2

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Trick 5 — Cube Surface Area Shortcut

Surface Area:

6a²

Square side first
Then multiply by 6

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Mensuration MCQs with Answers and Step-by-Step Solutions

Q 4394) The area of a square with side 8 cm is:

A. 64
B. 32
C. 16
D. 48

Answer:

A. 64

Solution:

Area of square

= a² = 8² = 64 cm²

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Q 4395) The perimeter of a rectangle with length 10 cm and breadth 5 cm is:

A. 20
B. 30
C. 40
D. 50

Answer:

B. 30

Solution:

Perimeter

= 2(l + b) = 2(10 + 5) = 2 × 15 = 30 cm

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Q 4396) The area of a circle with radius 7 cm is:

A. 154
B. 144
C. 164
D. 174

Answer:

A. 154

Solution:

Area

= πr² = 22/7 × 7 × 7 = 154 cm²

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Q 4397) The volume of a cube with side 5 cm is:

A. 100
B. 125
C. 150
D. 200

Answer:

B. 125

Solution:

Volume

= a³ = 5³ = 125 cm³

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Q 4398) The circumference of a circle with radius 14 cm is:

A. 44
B. 88
C. 176
D. 196

Answer:

B. 88

Solution:

Circumference

= 2πr = 2 × 22/7 × 14 = 88 cm

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Q 4399) Area of rectangle with length 12 cm and breadth 6 cm:

A. 72
B. 64
C. 84
D. 96

Answer:

A. 72

Solution:

Area

= l × b = 12 × 6 = 72 cm²

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Q 4400) Volume of cuboid with dimensions 4, 5, 6:

A. 100
B. 120
C. 140
D. 160

Answer:

B. 120

Solution:

Volume

= l × b × h = 4 × 5 × 6 = 120 cm³

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Q 4401) Surface area of cube with side 3 cm:

A. 18
B. 27
C. 54
D. 81

Answer:

C. 54

Solution:

Surface area

= 6a² = 6 × 9 = 54 cm²

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Q 4402) Area of triangle with base 10 and height 8:

A. 40
B. 80
C. 60
D. 50

Answer:

A. 40

Solution:

Area

= 1/2 × base × height = 1/2 × 10 × 8 = 40

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Q 4403) Volume of cylinder with radius 7 and height 10:

A. 1540
B. 154
C. 1440
D. 1640

Answer:

A. 1540

Solution:

Volume

= πr²h = 22/7 × 7 × 7 × 10 = 1540

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Q 4404) Area of square with side 9:

Answer:

81

Solution:

9²

= 81

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Q 4405) Perimeter of square with side 6:

Answer:

24

Solution:

4 × 6

= 24

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Q 4406) Volume of sphere with radius 3:

Answer:

36π

Solution:

4/3 πr³

= 4/3 × π × 27 = 36π

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Q 4407) Surface area of sphere with radius 7:

Answer:

616

Solution:

4πr²

= 4 × 22/7 × 49 = 616

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Q 4408) Area of circle with diameter 14:

Answer:

154

Solution:

Radius

= 7

Area

= πr² = 154

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Q 4409) Volume of cube with side 4:

Answer:

64

Solution:

4³

= 64

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Q 4410) Area of rectangle 15 × 3:

Answer:

45

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Q 4411) Perimeter of rectangle 8 × 2:

Answer:

20

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Q 4412) Area of triangle base 12 height 6:

Answer:

36

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Q 4413) Surface area of cube side 2:

Answer:

24

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FAQs — Mensuration for CUET UG GAT 2026

Is Mensuration important for CUET UG GAT?

Yes. Mensuration is a high-scoring topic and appears every year in the Quantitative Aptitude section.

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How many questions come from Mensuration in CUET?

Usually:

2 to 4 Questions

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Is Mensuration easy for beginners?

Yes. Mensuration is formula-based and easy to learn with practice.

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What is the most important formula in Mensuration?

Area and volume formulas are the most important.

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Can Mensuration be prepared in one day?

Yes. With formula revision and practice, it can be prepared quickly.

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Conclusion

Mensuration is one of the most reliable scoring topics in CUET UG GAT 2026. Since it is based on formulas and predictable patterns, students can improve their speed and accuracy with regular practice.

By learning the formulas, understanding common patterns, and applying short tricks, you can easily score full marks in Mensuration questions.

Master Mensuration, and you secure easy marks in CUET.

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