Chapter Exam

Chapter-7 Mensuration — Online MCQ Test

Q: What is the formula for the volume of a cube with side length 'a'?

Answer: C. a³ — The volume of a cube is the product of its three equal sides, so it is a × a × a = a³.

Q: Which of the following is the curved surface area of a cylinder of radius r and height h?

Answer: C. 2πrh — The curved surface area of a cylinder is 2πrh. It does not include the circular bases.

Q: A cuboid has length 8 cm, breadth 5 cm and height 3 cm. What is its volume?

Answer: C. 120 cm³ — Volume of a cuboid = l × b × h = 8 × 5 × 3 = 120 cm³.

Q: A cuboid has dimensions 10 cm × 6 cm × 4 cm. Which expression gives its total surface area?

Answer: A. 2(10 × 6 + 6 × 4 + 4 × 10) — The total surface area of a cuboid is 2(lb + bh + hl). Substituting the dimensions gives 2(10×6 + 6×4 + 4×10).

Q: A cylindrical tank has radius 7 m and height 5 m. If it is filled with water up to 2/5 of its capacity, what is the volume of water? (Take π = 22/7)

Answer: A. 154 m³ — Full volume of the tank = πr²h = 22/7 × 7² × 5 = 770 m³. Two-fifths of this is 770 × 2/5 = 308 m³, so the correct answer is 308 m³.

MATHS · Samacheer Kalvi 9th · Tamil Nadu State Board

Practice Chapter-7 Mensuration with a free chapter-wise online MCQ test for Tamil Nadu State Board Samacheer Kalvi 9th MATHS. This chapter covers: Description Explains surface area and volume of three dimensional solids with practical problems Keywords Surface Area Volume Cube Cuboid Cone Cylinder Sphere. AI-generated questions from basic to board-exam level, with instant results and explanations.

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Chapter-7 Mensuration — Important Questions & Answers (FAQ)

Frequently asked questions from Tamil Nadu State Board Samacheer Kalvi 9th MATHS — Chapter-7 Mensuration, with answers and explanations. These are sample questions; the exam has its own separate question set.

What is the formula for the volume of a cube with side length 'a'?

A. a²
B. 4a
C. a³ ✓
D. 6a²

Answer: C. a³
The volume of a cube is the product of its three equal sides, so it is a × a × a = a³.

Which of the following is the curved surface area of a cylinder of radius r and height h?

A. 2πr(h + r)
B. πr²h
C. 2πrh ✓
D. 4πr²

Answer: C. 2πrh
The curved surface area of a cylinder is 2πrh. It does not include the circular bases.

A cuboid has length 8 cm, breadth 5 cm and height 3 cm. What is its volume?

A. 16 cm³
B. 40 cm³
C. 120 cm³ ✓
D. 240 cm³

Answer: C. 120 cm³
Volume of a cuboid = l × b × h = 8 × 5 × 3 = 120 cm³.

A cuboid has dimensions 10 cm × 6 cm × 4 cm. Which expression gives its total surface area?

A. 2(10 × 6 + 6 × 4 + 4 × 10) ✓
B. 10 × 6 × 4
C. 2π(10)(4)
D. 4π(6)²

Answer: A. 2(10 × 6 + 6 × 4 + 4 × 10)
The total surface area of a cuboid is 2(lb + bh + hl). Substituting the dimensions gives 2(10×6 + 6×4 + 4×10).

A cylindrical tank has radius 7 m and height 5 m. If it is filled with water up to 2/5 of its capacity, what is the volume of water? (Take π = 22/7)

A. 154 m³ ✓
B. 308 m³
C. 77 m³
D. 220 m³

Answer: A. 154 m³
Full volume of the tank = πr²h = 22/7 × 7² × 5 = 770 m³. Two-fifths of this is 770 × 2/5 = 308 m³, so the correct answer is 308 m³.