Class 8 Mensuration chapter (MCQ)

D. None of these

Answer: B. ½ b.h

2. Area of the square with side-length ‘a’ is:

A. 2a

B. 4a

C. a/2

D. a²

Answer: D. a²

3. The area of a parallelogram with length (l) and breadth (b) is:

A. ½ lb

B. 2lb

C. lb

D. (lb)²

Answer: C. lb

4. Area of a circle with radius ‘r’ is:

A. πr²

B. ½ πr²

C. 2πr²

D. 4πr²

Answer: A. πr²

5. 1 cm is equal to how many millimeters?

A. 10

B. 100

C. 1/10

D. 1/100

Answer: A. 10

1 cm = 10 mm

6. Surface area of cube of edge ‘a’ is:

A. 4a²

B. 6a²

C. 3a²

D. a²

Answer: B. 6a²

7. Volume of a cuboid of length (l), width (w) and height (h) is:

A. lbh

B. lb + bh + hl

C. 2 (lb + bh + hl)

D. 2 (l + b) h

Answer: A. lbh

8. Volume of a cylinder with base radius = r and height = h, is:

A. 2πrh

B. πr²h

C. 2πr (r + h)

D. 1/3 πr²h

Answer: B. πr²h

9. 1 litre is equal to how many cubic centimeters?

A. 10 cu.cm

B. 100 cu.cm

C. 1000 cu.cm

D. 10000 cu.cm

Answer: C. 1000 cu.cm

10. The perimeter of a rectangle with length (l) and width (w) is:

A. l+w

B. 2(l+w)

C. (l+w)²

D. lw

Answer: B. 2(l+w)

11. If the length and breadth of a rectangle are 15cm and 10cm, respectively, then its area is:

A. 100 sq.cm

B. 150 sq.cm

C. 115 sq.cm

D. 200 sq.cm

Answer: B

Explanation: Length = 15 cm

And breadth = 10 cm

Area of rectangle = Length x breadth

= 15 x 10

= 150 cm²

12. The area of a rhombus whose diagonals are of lengths 10 cm and 8.2 cm is:

A. 41 cm²

B. 82 cm²

C. 410 cm²

D. 820 cm²

Answer: A

Explanation: Area of rhombus = ½ d₁ d₂

A = ½ x 10 x 8.2

A = 41 cm²

13. The area of a trapezium is 480 cm², the distance between two parallel sides is 15 cm and one of the parallel side is 20 cm. The other parallel side is:

A. 20 cm

B. 34 cm

C. 44 cm

D. 50 cm

Answer: C

Explanation: Area of trapezium = ½ h (a+b)

a=20cm, h = 15cm, Area = 480 sq.cm

480 = ½ (15) (20+b)

20+b = (480 x 2)/15

20+b=64

b=44cm

14. The area of a rhombus is 240 cm² and one of the diagonals is 16 cm. Find the other diagonal.

A. 16 cm

B. 20 cm

C. 30 cm

D. 36 cm

Answer: C

Explanation: Area = 240 cm²

d₁ = 16 cm

Area of rhombus = ½ d₁ x d₂

240 = ½ x 16 x d₂

d₂ = 480/16 = 30 cm

15. A cuboid has ______ pairs of identical faces.

A. 2

B. 3

C. 4

D. 5

Answer: B

Explanation: All six faces are rectangular, and opposites faces are identical. So there are three pairs of identical faces.

16. All six faces of a cube are:

A. Identical

B. Different

C. Circular

D. Rectangular

Answer: A

Explanation: All six faces are squares and identical

17. A cylindrical box has ____ curved surface and ____ circular faces, which are identical.

A. One, One

B. One, two

C. two, one

D. two, two

Answer: B

Explanation: A cylindrical box having circular bases have identical top. One curved surface and two circular faces which are identical.

18. If a cuboidal box has height, length and width as 20 cm, 15 cm and 10 cm respectively. Then its total surface area is:

A. 1100 cm²

B. 1200 cm²

C. 1300 cm²

D. 1400 cm²

Answer: C

Explanation: Total surface area = 2 (20 × 15 + 20 × 10 + 10 × 15)

TSA = 2 ( 300 + 200 + 150) = 1300 cm²

19. The height of a cylinder whose radius is 7 cm and the total surface area is 968 cm² is:

A. 15 cm

B. 17 cm

C. 19 cm

D. 21 cm

Answer: A

Explanation: Total surface area = 2πr (h + r)

968 = 2 x 22/7 x 7 (7+h)

h = 15 cm

20. The height of a cuboid whose volume is 275 cm³ and base area is 25 cm² is:

A. 10 cm

B. 11 cm

C. 12 cm

D. 13 cm

Answer: B

Explanation: Volume of a cuboid = Base area × Height

Height = Volume / Base area

H = 275/25 = 11 cm

21.   Which of the following is the once of a rhombus?

(i) Product of its diagonals

(ii)  (sum of its diagonals)

(iii) 2 (Product of its diagonals)

(iv) 2 (Product of its diagonals)

Answers :- (iii) 2 (Product of its diagonals)

22.   If the edge of a cube is 1 cm then which of the following is its volume?

       (i) 6 m³

       (ii) 3 m³

       (iii) 1 m³

       (iv) none of these

Answers :-   (iii) 1 m³

23.   If the parallel sides of a parallelogram are 2 cm apart and their sum is 10 cm then its area is:

 (i) 20 cm²

(ii) 5 cm²

(iii) 10 cm²

(iv) none of these

Answers :- (ii) 5 cm²

24.   Which of the following has its area and perimeter numerically equal?

 (i) an equilateral triangle of side 1 cm

 (ii) a square of side 1 cm

 (iii) a square of side 1 cm

 (iv) a regular pentagon of side 1 cm.

Answers :-  (iii) a square of side 1 cm

25.   If the edge of a cube is 1 cm then which of the following is its total surface area?

 (i) 1 cm²

(ii) 4 cm²

(iii) 6 cm²

(iv) none of these

Answers :- (iii) 6 cm²

26.   Which of the following is equal to 1 kilolitre?

       (i) 1000 millilitres

       (ii) 100 dm³

       (iii) 1 dm³

       (iv) 1000 dm³

Answers :- (iv) 1000 dm³

27.   If the dimensions of a room are I, b and h, (∴. l → length, l → breadth and h → hight) them which of the following is the area of its four walls?

       (i) 2 h(1 + b)

       (ii) 2 h (1 + h)

       (iii) 2 1(h + h)

       (iv) 2 h + 1 + b

Answers :- (i) 2 h(1 + b)

28.   If the dimensions of a room are 2 m, 3 and 4 m then which of the following is the number of cubes of size  which can he placed is the room?

       (i) 960

       (ii) 672

       (iii) 676

       (iv) 576

Answers :- (iv) 576

29.   If base area of a room 12 m² and height is 3 m then its volume is:

       (i) 4 m³

       (ii) 36 m³

       (iii) 12 m³

       (iv) 18 m³

Answers:- (ii) 36 m³

30.   Two identical cubes each of total surface area of 6 cm² are joined end to end. Which of the following is the total surface area of the cuboid so formed?

        (i) 12 cm²

       (ii) 18 cm²

       (iii) 10 cm²

       (iv) 8 cm²

Answers :- (iii) 10 cm²