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Class 8 Maths MCQ Questions of Mensuration with Answers?

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The MCQ Questions for Class 8 Maths with answers have been prepared as per the latest syllabus, NCERT books and examination pattern suggested in class 8 by CBSE. Multiple Choice Questions for important part of exams for Grade 8 Mensuration and if practiced properly can help you to get higher marks.

Here we have covered Important Questions on Mensuration for Class 8 Maths subject all topics. You can get Important MCQ Questions Class 8 based on NCERT Textbook for Class 8. These Questions are very helpful to score high marks in board exams. Refer to more Chapter-wise MCQ Questions for NCERT Class 8 Mensuration and more latest study material for all subjects. Practice all Important MCQ Questions for Class 8 Mensuration with answers are given here.

Practice MCQ Question for Class 8 Maths chapter-wise

1. The area of a rectangle of length a and breadth b is

(a) a + b
(b) ab
(c) a2 + b2
(d) 2ab

2. The area of a square of side a is

(a)a
(b) a2
(c) 2a
(d) 4a .

3. Write the lateral surface area of a cuboid having length l units, breadth b units and height h units.

(a) 2(l+b)h
(b) 2(l+h)b
(c) 3(l+b)h
(d) 2(h+b)l

4. The surface area of a cube of edge a is

(a) 4a2
(b) 6a2
(c) 3a2
(d) a2

5. The total surface area of a cylinder of base radius r and height h is

(a) 2πr (r + h)
(b) πr (r + h)
(c) 2πrh
(d) 2πr2

6. The volume of a cuboid of length l, breadth b and height h is

(a) lbh
(b) lb + bh + hl
(c) 2 (lb + bh + hl)
(d) 2 (l + b) h

7. The volume of a cube of edge a is

(a) a2
(b) a3
(c) a4
(d) 6a2

8. The area of the figure is

(a) 7 cm
(b) 6 cm
(c) 14 cm
(d) 16 cm2

9. The area of a rhombus is 60 cm². One diagonal is 10 cm. The other diagonal is

(a) 6 cm
(b) 12 cm
(c) 3 cm
(d) 24 cm

10. The area of a trapezium is 40 cm². Its parallel sides are 12 cm and 8 cm. The distance between the parallel sides is

(a) 1 cm
(b) 2 cm
(c) 3 cm
(d) 4 cm

11. 8 persons can stay in a cubical room. Each person requires 27 m³ of air. The side of the cube is

(a) 6 m
(b) 4 m
(c) 3 m
(d) 2 m

12. If the height of a cuboid becomes zero, it will take the shape of a

(a) cube
(b) parallelogram
(c) circle
(d) rectangle

13. The volume of a room is 80 m³. The area of the floor is 20 m². The height of the room is

(a) 1 m
(b) 2 m
(c) 3 m
(d) 4 m

14. The floor of a room is a square of side 6 m. Its height is 4 m. The volume of the room is

(a) 140 m3
(b) 142 m3
(c) 144 m3
(d) 145 m3

15. The base radius and height of a right circular cylinder are 14 cm and 5 cm respectively. Its curved surface is

(a) 220 cm2
(b) 440 cm2
(c) 1232 cm2
(d) 2π × 14 × (14 + 5) cm2

16. The heights of the two right circular cylinders are the same. Their volumes are respectively 16π m3 and 81π m3. The ratio of their base radii is

(a) 16 : 81
(b) 4 : 9
(c) 2 : 3
(d) 9: 4

17. The ratio of the radii of two right circular cylinders is 1 : 2 and the ratio of their heights is 4 : 1. The ratio of their volumes is

(a) 1 : 1
(b) 1 : 2
(c) 2 : 1
(d) 4 : 1

18. A glass in the form of a right circular cylinder is half full of water. Its base radius is 3 cm and height is 8 cm. The volume of water is

(a) 18π cm3
(b) 36π cm3
(c) 9π cm3
(d) 36 cm3

19. The base area of a right circular cylinder is 16K cm3. Its height is 5 cm. Its curved surface area is

(a) 40π cm2
(b) 30π cm2
(c) 20π cm2
(d) 10π cm2

20. The base radius and height of a right circular cylinder are 5 cm and 10 cm. Its total surface area is

(a) 150π cm2
(b) 300π cm2
(c) 150 cm2
(d) 300 cm2

21. If the length and breadth of a rectangle are 10 cm and 5 cm, respectively, then its area is:

(a) 100 sq.cm
(b) 150 sq.cm
(c) 115 sq.cm
(d) 200 sq.cm

22. 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

23. 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

24. A square is a special case of

(a) rhombus
(b) parallelogram
(c) isosceles trapezium
(d) trapezium

25. One side of an equilateral triangle is 30 cm. Its area is

(a) \(225\sqrt3\) cm2
(b) 112.5 cm2
(c) \(225\sqrt2\) cm2
(d) 225 cm

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Answer:

1.  Answer: (b) ab

Explanation: Area of a rectangle with length l and breadth b is given by A = l×b

2.  Answer: (b) a2

Explanation: In a square all four sides are equal. Therefore, area of a square = (side × side) square units = (side)2 square units = a2 .

3.  Answer: (a) 2(l+b)h

Explanation: To find the lateral surface area of the cuboid, we need to add the area of each lateral side. Two sides will have the dimensions b and h. The other two sides will have the dimensions, l, and h. Each wall is in the shape of a rectangle. Hence, Lateral surface area of the cuboid 

= 2(b×h)+2(l×h)

= 2(l+b)h

4.  Answer: (b) 6a2

Explanation: The surface area of a cube = 6a2 where a is the length of the side of each edge of the cube.

5.  Answer: (a) 2πr (r + h)

Explanation: The curved surface area for a cylinder is 2(π)rh

Total surface area = curved surface area +area of the two circles= 2(π)rh+2(π)r2

= 2(π)r(r+h)

6.  Answer: (a) lbh

Explanation: The volume of a cuboid is given by:

V = l× b × h

where:

l= Length of the cuboid
b: Breadth of the cuboid
h: Height of the cuboid

7.  Answer: (b) a3

Explanation: The formula of volume of the cube is given by: Volume = a3, where a is the length of its sides or edges.

8.  Answer: (c) 14 cm

Explanation: Perimeter 

= 2 (4 + 3) 

= 14 cm.

9.  Answer: (b) 12 cm

Explanation:1/2  × 10 × d2 = 60 

⇒ d2 = 12 cm.

10.  Answer: (d) 4 cm

Explanation: \(\frac{(12+8)}{2}d=40\)

= 4 cm

11.  Answer: (a) 6 m

Explanation: Volume = 8 × 27 = 216 m3

∴ side \(=\sqrt[3]{216}\)

= 6m

12.  Answer: (d) rectangle

Explanation:  If the height of a cuboid becomes zero then it will become a rectangle.

13.  Answer: (d) 4 m

Explanation: V = 80m3

area = 20 m2

Height = 80/20 

= 4 m.

14.  Answer: (c) 144 m3

Explanation: Volume = 6 × 6 × 4 

= 144 m3

15.  Answer: (b) 440 cm2

Explanation: Curved surface = 2 × 22/7 × 14 × 5

= 440 cm2

16.  Answer: (b) 4: 9

Explanation: \(\frac{\pi r^2_1h}{\pi r_2^2 h}=\frac{16\pi}{81\pi}\)

\(\frac{r_1}{r_2}=\frac{4}{9}\)

17.  Answer: (a) 1 : 1

Explanation: \(\frac{r_1}{r_2}=\frac{\pi(1)^24}{\pi (2)^21}\)

= 1 : 1

18.  Answer: (b) 36π cm3

Explanation: 1/2 π × 3 × 3 × 8

= 36π cm3.

19.  Answer: (a) 40π cm2

Explanation: πr2 = 16π

⇒ r = 4 cm

∴ Curved surface area

= 2 × π × 4 × 5

 = 40π cm2

20.  Answer: (a) 150π cm2

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

= 2π 5 (10 + 5) 

= 150π cm2.

21.  Answer: (b) 150 sq.cm

Explanation: Length = 10 cm

And breadth = 5 cm

Area of rectangle = Lenght x breadth

= 10 x 5

= 150 cm2

22.  Answer: (a) 41 cm2

Explanation: Area of rhombus = 1/2 d1 d2

A = 1/2 x 10 x 8.2

A = 41 cm2

23.  Answer: (b) 11 cm

Explanation: Volume of a cuboid = Base area × Height

Height = Volume / Base area

H = 275/25 

= 11 cm

24.  Answer: (a) rhombus

Explanation: A square is a special case of a rhombus because it has four equal-length sides and goes above and beyond that to also have four right angles. Every square you see will be a rhombus, but not every rhombus you meet will be a square.

25. Answer: (a) \(225\sqrt3\) cm2

Explanation: Given the side of an equilateral triangle is 30 cm

Then area of equilateral triangle = \(\frac{\sqrt{3}}{4}(30)^2\) \(=\frac{\sqrt3}{4}\times900\)

=  \(225\sqrt3\) cm2

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