Check the below NCERT MCQ Questions for Class 8 Maths Chapter 11 Mensuration with Answers Pdf free download. MCQ Questions for Class 8 Maths with Answers were prepared based on the latest exam pattern. We have provided Mensuration Class 8 Maths MCQs Questions with Answers to help students understand the concept very well.

Students can also refer to NCERT Solutions for Class 8 Maths Chapter 11 Mensuration for better exam preparation and score more marks.

## Mensuration Class 8 MCQs Questions with Answers

Question 1.

The diagram has the shape of a

(a) square

(b) rectangle

(c) triangle

(d) trapezium.

## Answer

Answer: (b) rectangle

Question 2.

The diagram has the shape of a

(a) rectangle

(b) square

(c) circle

(d) parallelogram.

## Answer

Answer: (b) square

Question 3.

The diagram has the shape of a

(a) circle

(b) rectangle

(c) square

(d) triangle.

## Answer

Answer: (d) triangle

Question 4.

The diagram has the shape of a

(a) rectangle

(b) square

(c) parallelogram

(d) circle.

## Answer

Answer: (c) parallelogram

Question 5.

The diagram has the shape of a

(a) circle

(b) square

(c) rectangle

(d) parallelogram.

## Answer

Answer: (a) circle

Question 6.

The diagram has the shape of a

(a) circle

(b) parallelogram

(c) rectangle

(d) trapezium.

## Answer

Answer: (d) trapezium

Question 7.

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

(a) a + b

(b) ab

(c) a² + b²

(d) 2ab.

## Answer

Answer: (b) ab

Question 8.

The area of a square of side a is

(a)a

(b) a²

(c) 2a

(d) 4a.

## Answer

Answer: (b) a²

Question 9.

The area of a triangle with base b and altitude h is

(a) \(\frac{1}{2}\)bh

(b) bh

(c) \(\frac{1}{3}\)bh

(d) \(\frac{1}{4}\)bh.

## Answer

Answer: (a) \(\frac{1}{2}\)bh

Question 10.

The area of a parallelogram of base b and altitude h is

(a) \(\frac{1}{2}\)bh

(b) bh

(c) \(\frac{1}{3}\)bh

(d) \(\frac{1}{4}\)bh.

## Answer

Answer: (b) bh

Question 11.

The area of a circle of radius r is

(a) \(\frac{1}{2}\)πr²

(b) r²

(c) πr².

(d) \(\frac{1}{4}\)πr²

## Answer

Answer: (b) r²

Question 12.

1 cm³ =

(a) 1000 mm³

(b) 100 mm³

(c) 10 mm³

(d) \(\frac{1}{1000}\)mm³

## Answer

Answer: (a) 1000 mm³

Question 13.

1 m³ =

(a ) 1000000 cm³

(b) 100 cm³

(c) 10 cm³

(d) \(\frac{1}{1000}\) cm³

## Answer

Answer: (a ) 1000000 cm³

Question 14.

1 mm³ =

(a) 0.001 cm³

(b) 0.01 cm³

(c) 0.1 cm³

(d) 1000 cm³

## Answer

Answer: (a) 0.001 cm³

Question 15.

1 cm³ =

(a) 0.000001 m³

(b) 0.01 m³

(c) 0.1 m³

(d) 1000 m³

## Answer

Answer: (a) 0.000001 m³

Question 16.

The surface area 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.

## Answer

Answer: (c) 2 (lb + bh + hl)

Question 17.

The surface area of a cube of edge a is

(a) 4a²

(b) 6a²

(c) 3a²

(d) a².

## Answer

Answer: (b) 6a²

Question 18.

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.

## Answer

Answer: (a) 2πr (r + h)

Question 19.

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.

## Answer

Answer: (a) lbh

Question 20.

The volume of a cube of edge a is

(a) a²

(b) a³

(c) a^{4}

(d) 6a²

## Answer

Answer: (b) a³

Question 21.

The volume of a cylinder of base radius r and height h is

(a) 2πrh

(b) πr²h

(c) 2πr (r + h)

(d) \(\frac{1}{3}\) πr²h.

## Answer

Answer: (b) πr²h

Question 22.

1 L =

ia) 10 cm³

(b) 100 cm³

(c) 1000 cm³

(d) 10000 cm³.

## Answer

Answer: (c) 1000 cm³

Question 23.

1 m³ =

(a) 1 L

(b) 10 L

(c) 100 L

(d) 1000 L.

## Answer

Answer: (d) 1000 L.

Question 24.

The perimeter of the figure is

(a) 7 cm

(b) 14 cm

(c) 12 cm

(d) 24 cm.

## Answer

Answer: (b) 14 cm

Hint:

Perimeter = 2 (4 + 3) = 14 cm.

Question 25.

The area of the figure is

(a) 8 cm²

(b) 6 cm²

(c) 12 cm²

(d) 16 cm²

## Answer

Answer: (c) 12 cm²

Hint:

Area = 6² = 12 cm².

Question 26.

The perimeter of the figure is

(a) 5 cm

(b) 10 cm

(c) 4 cm

(d) 8 cm.

## Answer

Answer: (b) 10 cm

Hint:

Perimeter = 2 (4 + 1) = 10 cm.

Question 27.

The area of the figure is

(a) 6 cm²

(b) 12 cm²

(c) 5 cm²

(d) 10 cm²

## Answer

Answer: (a) 6 cm²

Hint:

Area = 3 × 2 = 6 cm².

Question 28.

The perimeter of the figure is

(a) 12 cm

(b) 24 cm

(c) 6 cm

(d) 60 cm.

## Answer

Answer: (a) 12 cm

Hint:

Perimeter = 4 + 3 + 5 = 12 cm.

Question 29.

The area of the figure is

(a) 9 cm²

(b) 18 cm²

(c) 12 cm²

(d) 15 cm²

## Answer

Answer: (a) 9 cm²

Hint:

Area = \(\frac{6×3}{2}\) 9 cm².

Question 30.

The perimeter of the figure is

(a) 4 cm

(b) 6 cm

(c) 8 cm

(d) 12 cm.

## Answer

Answer: (c) 8 cm

Hint:

Perimeter = 4 × 2 = 8 cm.

Question 31.

The area of the figure is

(a) 16 cm²

(b) 8 cm²

(c) 4 cm²

(d) 12 cm²

## Answer

Answer: (a) 16 cm²

Hint:

Area = 4 × 4 = 16 cm².

Question 32.

The area of the figure is

(a) 77 cm²

(b) 154 cm²

(c) 38.5 cm²

(d) none of these

## Answer

Answer: (a) 77 cm²

Hint:

Area = \(\frac{1}{2}\) × \(\frac{22}{7}\) × 7 × 7 = 77 cm².

Question 33.

The area of the trapezium is

(a) 9 cm²

(b) 6 cm²

(c) 7 cm²

(d) 24 cm²

## Answer

Answer: (a) 9 cm²

Hint:

Area = \(\frac{(4+2)3}{2}\) = 9 cm².

Question 34.

The area of the trapezium is

(a) 6 cm²

(b) 4 cm²

(c) 3 cm²

(d) 9 cm²

## Answer

Answer: (a) 6 cm²

Hint:

Area = \(\frac{(3+2)3}{2}\) = 6 cm².

Question 35.

The perimeter of the trapezium is

(a) 12 cm

(b) 24 cm

(c) 6 cm

(d) 18 cm.

## Answer

Answer: (a) 12 cm

Hint:

Perimeter = 3 + 3 + 2 + 4 = 12 cm.

Question 36.

The area of the quadrilateral is

(a) 3.75 cm²

(b) 7.5 cm²

(c) 3 cm²

(d) 10 cm²

## Answer

Answer: (a) 3.75 cm²

Hint:

Area = \(\frac{1}{2}\) × 3 × 2.5 = 1.5 × 2.5

= 3.75 cm².

Question 37.

The area of the quadrilateral is

(a) 10 cm²

(b) 5 cm²

(c) 20 cm²

(d) 15 cm²

## Answer

Answer: (a) 10 cm²

Hint:

Area = 2(\(\frac{5×2}{2}\)) = 10 cm².

Question 38.

The area of the quadrilateral is

(a) 6 cm²

(b) 12 cm²

(c) 3 cm²

(d) 8 cm²

## Answer

Answer: (a) 6 cm²

Hint:

Area = \(\frac{4×(1+2)}{2}\)) = 6 cm²

Question 39.

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.

## Answer

Answer: (b) 12 cm

Hint:

\(\frac{1}{2}\) × 10 × d_{2} = 60 ⇒ d_{2} = 12 cm.

Question 40.

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.

## Answer

Answer: (d) 4 cm.

Hint:

\(\frac{(12+8)d}{2}\) = 40 ⇒ d = 4 cm.

Question 41.

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.

## Answer

Answer: (a) 6 m

Hint:

Volume = 8 × 27 = 216 m³

∴ side = \(\sqrt[3]{216}\) = 6 m.

Question 42.

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

(a) cube

(b) parallelogram

(c) circle

(d) rectangle.

## Answer

Answer: (d) rectangle.

Question 43.

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.

## Answer

Answer: (d) 4 m

Hint:

Height = \(\frac{80}{20}\) = 4 m.

Question 44.

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

## Answer

Answer: (c) 144 m³

Hint:

Volume = 6 × 6 × 4 = 144 m³.

Question 45.

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

## Answer

Answer: (b) 440 cm²

Hint:

Curved surface = 2 × \(\frac{22}{7}\) × 14 × 5

= 440 cm².

Question 46.

The heights of 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.

## Answer

Answer: (b) 4 : 9

Hint:

\(\frac{πr_1^2h}{πr_2^2h}\) = \(\frac{16π}{81π}\) ⇒ \(\frac{r_1}{r_2}\) = \(\frac{4}{9}\)

Question 47.

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.

## Answer

Answer: (a) 1 : 1

Hint:

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

Question 48.

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

## Answer

Answer: (b) 36π cm³

Hint:

Volume = \(\frac{1}{2}\)π × 3 × 3 × 8 = 36π cm³.

Question 49.

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

## Answer

Answer: (a) 40π cm²

Hint:

πr² = 16π ⇒ r = 4 cm

∴ Curved surface area

= 2 × π × 4 × 5 = 40π cm²

Question 50.

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

## Answer

Answer: (a) 150π cm²

Hint:

Total surface area = 2πr (h + r)

= 2π 5 (10 + 5) = 150π cm².

Question 51.

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

## Answer

Answer: (b) 150 sq.cm

Hint:

Length = 10 cm

And breadth = 5 cm

Area of rectangle = Lenght x breadth

= 10 x 5

= 150 cm^{2}

Question 52.

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

(a) 41 cm^{2}

(b) 82 cm^{2}

(c) 410 cm^{2}

(d) 820 cm^{2}

## Answer

Answer: (a) 41 cm^{2}

Hint:

Area of rhombus = ½ d_{1} d_{2}

A = ½ x 10 x 8.2

A = 41 cm^{2}

Question 53.

The area of a trapezium is 480 cm^{2}, 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

Answer: (c) 44 cm

Hint:

Area of trapezium = ½ h (a + b)

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

480 = ½ (15) (20 + b)

20 + b = (480 x 2)/15

20 + b = 64

b = 44cm

Question 54.

The area of a rhombus is 240 cm^{2} 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

Answer: (c) 30 cm

Hint:

Area = 240 cm^{2}

d_{1} = 16 cm

Area of rhombus = ½ d_{1} x d_{2}

240 = ½ x 16 x d_{2}

d_{2} = 480/16 = 30 cm

Question 55.

A cuboid has ______ pairs of identical faces.

(a) 2

(b) 3

(c) 4

(d) 5

## Answer

Answer: (b) 3

Hint:

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

Question 56.

All six faces of a cube are:

(a) Identical

(b) Different

(c) Circular

(d) Rectangular

## Answer

Answer: (a) Identical

Hint:

All six faces are squares and identical

Question 57.

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

Answer: (b) One, two

Hint:

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

Question 58.

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 cm^{2}

(b) 1200 cm^{2}

(c) 1300 cm^{2}

(d) 1400 cm^{2}

## Answer

Answer: (c) 1300 cm^{2}

Hint:

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

TSA = 2 ( 300 + 200 + 150) = 1300 cm^{2}

Question 59.

The height of a cylinder whose radius is 7 cm and the total surface area is 968 cm^{2} is:

(a) 15 cm

(b) 17 cm

(c) 19 cm

(d) 21 cm

## Answer

Answer: (a) 15 cm

Hint:

Total surface area = 2πr (h + r)

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

h = 15 cm

Question 60.

The height of a cuboid whose volume is 275 cm^{3} and base area is 25 cm^{2} is:

(a) 10 cm

(b) 11 cm

(c) 12 cm

(d) 13 cm

## Answer

Answer: (b) 11 cm

Hint:

Volume of a cuboid = Base area × Height

Height = Volume / Base area

H = 275/25 = 11 cm

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