Chapter Exam

Chapter-8 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 found by multiplying length, breadth, and height. Since all are equal to a, the volume is a × a × a = a³.

Q: How many edges does a cuboid have?

Answer: C. 12 — A cuboid has 12 edges in total. It also has 6 rectangular faces and 8 vertices.

Q: The total surface area of a cube with side 5 cm is:

Answer: C. 100 cm² — Total surface area of a cube = 6a². Substituting a = 5, we get 6 × 25 = 150 cm².

Q: Two cubes have side lengths 4 cm and 8 cm. What is the ratio of their volumes?

Answer: C. 1:8 — Volumes of cubes are proportional to the cube of side lengths. So the ratio is 4³ : 8³ = 64 : 512 = 1 : 8.

Q: Which of the following is NOT a correct formula?

Answer: C. Curved surface area of cone = 2πrl — The curved surface area of a cone is πrl, not 2πrl. The other formulas are correct standard mensuration formulas.

MATHS · Samacheer Kalvi 8th · Tamil Nadu State Board

Practice Chapter-8 Mensuration with a free chapter-wise online MCQ test for Tamil Nadu State Board Samacheer Kalvi 8th MATHS. This chapter covers: surface area volume solids Explains surface area and volume of cube cuboid cylinder cone and sphere. AI-generated questions from basic to board-exam level, with instant results and explanations.

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Chapter-8 Mensuration — Important Questions & Answers (FAQ)

Frequently asked questions from Tamil Nadu State Board Samacheer Kalvi 8th MATHS — Chapter-8 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. a + a + a
B. 6a²
C. a³ ✓
D. 2a³

Answer: C. a³
The volume of a cube is found by multiplying length, breadth, and height. Since all are equal to a, the volume is a × a × a = a³.

How many edges does a cuboid have?

A. 6
B. 8
C. 12 ✓
D. 16

Answer: C. 12
A cuboid has 12 edges in total. It also has 6 rectangular faces and 8 vertices.

The total surface area of a cube with side 5 cm is:

A. 25 cm²
B. 50 cm²
C. 100 cm² ✓
D. 150 cm²

Answer: C. 100 cm²
Total surface area of a cube = 6a². Substituting a = 5, we get 6 × 25 = 150 cm².

Two cubes have side lengths 4 cm and 8 cm. What is the ratio of their volumes?

A. 1:2
B. 1:4
C. 1:8 ✓
D. 1:16

Answer: C. 1:8
Volumes of cubes are proportional to the cube of side lengths. So the ratio is 4³ : 8³ = 64 : 512 = 1 : 8.

Which of the following is NOT a correct formula?

A. Volume of cube = a³
B. Total surface area of cuboid = 2(lb + bh + hl)
C. Curved surface area of cone = 2πrl ✓
D. Volume of cylinder = πr²h

Answer: C. Curved surface area of cone = 2πrl
The curved surface area of a cone is πrl, not 2πrl. The other formulas are correct standard mensuration formulas.

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