**CBSE Class 8 Maths – MCQ and Online Tests – Unit 11 – Mensuration**

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**CBSE Class 8 Maths – MCQ and Online Tests – Unit 11 – Mensuration**

Question 1.

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 Ũ 2 = 8 cm.

Question 2.

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 Ũ 15 + 20 Ũ 10 + 10 Ũ 15)

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

Question 3.

1 L =

ia) 10 cmģ

(b) 100 cmģ

(c) 1000 cmģ

(d) 10000 cmģ.

## Answer

Answer: (c) 1000 cmģ

Question 4.

1 mģ =

(a) 1 L

(b) 10 L

(c) 100 L

(d) 1000 L.

## Answer

Answer: (d) 1000 L.

Question 5.

The area of the figure is

(a) 16 cmē

(b) 8 cmē

(c) 4 cmē

(d) 12 cmē

## Answer

Answer: (a) 16 cmē

Hint:

Area = 4 Ũ 4 = 16 cmē.

Question 6.

The area of the figure is

(a) 77 cmē

(b) 154 cmē

(c) 38.5 cmē

(d) none of these

## Answer

Answer: (a) 77 cmē

Hint:

Area = \(\frac{1}{2}\) Ũ \(\frac{22}{7}\) Ũ 7 Ũ 7 = 77 cmē.

Question 7.

The diagram has the shape of a

(a) rectangle

(b) square

(c) parallelogram

(d) circle.

## Answer

Answer: (c) parallelogram

Question 8.

The diagram has the shape of a

(a) circle

(b) square

(c) rectangle

(d) parallelogram.

## Answer

Answer: (a) circle

Question 9.

The diagram has the shape of a

(a) circle

(b) parallelogram

(c) rectangle

(d) trapezium.

## Answer

Answer: (d) trapezium

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) \(\frac{1}{2}\)prē

(b) rē

(c) prē.

(d) \(\frac{1}{4}\)prē

## Answer

Answer: (b) rē

Question 12.

1 cmģ =

(a) 1000 mmģ

(b) 100 mmģ

(c) 10 mmģ

(d) \(\frac{1}{1000}\)mmģ

## Answer

Answer: (a) 1000 mmģ

Question 13.

1 mģ =

(a ) 1000000 cmģ

(b) 100 cmģ

(c) 10 cmģ

(d) \(\frac{1}{1000}\) cmģ

## Answer

Answer: (a ) 1000000 cmģ

Question 14.

1 mmģ =

(a) 0.001 cmģ

(b) 0.01 cmģ

(c) 0.1 cmģ

(d) 1000 cmģ

## Answer

Answer: (a) 0.001 cmģ

Question 15.

1 cmģ =

(a) 0.000001 mģ

(b) 0.01 mģ

(c) 0.1 mģ

(d) 1000 mģ

## Answer

Answer: (a) 0.000001 mģ

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) 4aē

(b) 6aē

(c) 3aē

(d) aē.

## Answer

Answer: (b) 6aē

Question 18.

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

(a) 2pr (r + h)

(b) pr (r + h)

(c) 2prh

(d) 2prē.

## Answer

Answer: (a) 2pr (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) aē

(b) aģ

(c) a^{4}

(d) 6aē

## Answer

Answer: (b) aģ

Question 21.

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

(a) 2prh

(b) prēh

(c) 2pr (r + h)

(d) \(\frac{1}{3}\) prēh.

## Answer

Answer: (b) prēh

Question 22.

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 23.

The diagram has the shape of a

(a) square

(b) rectangle

(c) triangle

(d) trapezium.

## Answer

Answer: (b) rectangle

Question 24.

The diagram has the shape of a

(a) rectangle

(b) square

(c) circle

(d) parallelogram.

## Answer

Answer: (b) square

Question 25.

The diagram has the shape of a

(a) circle

(b) rectangle

(c) square

(d) triangle.

## Answer

Answer: (d) triangle

Question 26.

The area of the figure is

(a) 8 cmē

(b) 6 cmē

(c) 12 cmē

(d) 16 cmē

## Answer

Answer: (c) 12 cmē

Hint:

Area = 6ē = 12 cmē.

Question 27.

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 28.

The area of the figure is

(a) 6 cmē

(b) 12 cmē

(c) 5 cmē

(d) 10 cmē

## Answer

Answer: (a) 6 cmē

Hint:

Area = 3 Ũ 2 = 6 cmē.

Question 29.

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 30.

The area of the figure is

(a) 9 cmē

(b) 18 cmē

(c) 12 cmē

(d) 15 cmē

## Answer

Answer: (a) 9 cmē

Hint:

Area = \(\frac{6Ũ3}{2}\) 9 cmē.

Question 31.

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 = 2pr (h + r)

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

h = 15 cm

Question 32.

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 Ũ Height

Height = Volume / Base area

H = 275/25 = 11 cm

Question 33.

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 34.

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 35.

The area of the trapezium is

(a) 9 cmē

(b) 6 cmē

(c) 7 cmē

(d) 24 cmē

## Answer

Answer: (a) 9 cmē

Hint:

Area = \(\frac{(4+2)3}{2}\) = 9 cmē.

Question 36.

The area of the trapezium is

(a) 6 cmē

(b) 4 cmē

(c) 3 cmē

(d) 9 cmē

## Answer

Answer: (a) 6 cmē

Hint:

Area = \(\frac{(3+2)3}{2}\) = 6 cmē.

Question 37.

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 38.

The area of the quadrilateral is

(a) 3.75 cmē

(b) 7.5 cmē

(c) 3 cmē

(d) 10 cmē

## Answer

Answer: (a) 3.75 cmē

Hint:

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

= 3.75 cmē.

Question 39.

The area of the quadrilateral is

(a) 10 cmē

(b) 5 cmē

(c) 20 cmē

(d) 15 cmē

## Answer

Answer: (a) 10 cmē

Hint:

Area = 2(\(\frac{5Ũ2}{2}\)) = 10 cmē.

Question 40.

The area of the quadrilateral is

(a) 6 cmē

(b) 12 cmē

(c) 3 cmē

(d) 8 cmē

## Answer

Answer: (a) 6 cmē

Hint:

Area = \(\frac{4Ũ(1+2)}{2}\)) = 6 cmē

Question 41.

The area of a rhombus is 60 cmē. 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:

\(\frac{1}{2}\) Ũ 10 Ũ d_{2} = 60 ? d_{2} = 12 cm.

Question 42.

The area of a trapezium is 40 cmē. 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 43.

8 persons can stay in a cubical room. Each person requires 27 mģ 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 Ũ 27 = 216 mģ

? side = \(\sqrt[3]{216}\) = 6 m.

Question 44.

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 45.

The volume of a room is 80 mģ. The area of the floor is 20 mē. 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 46.

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 mģ

(b) 142 mģ

(c) 144 mģ

(d) 145 mģ

## Answer

Answer: (c) 144 mģ

Hint:

Volume = 6 Ũ 6 Ũ 4 = 144 mģ.

Question 47.

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

(a) 220 cmē

(b) 440 cmē

(c) 1232 cmē

(d) 2p Ũ 14 Ũ (14 + 5) cmē

## Answer

Answer: (b) 440 cmē

Hint:

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

= 440 cmē.

Question 48.

The heights of two right circular cylinders are the same. Their volumes are respectively 16p mģ and 81p mģ. 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:

\(\frac{pr_1^2h}{pr_2^2h}\) = \(\frac{16p}{81p}\) ? \(\frac{r_1}{r_2}\) = \(\frac{4}{9}\)

Question 49.

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:

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

Question 50.

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) 18p cmģ

(b) 36p cmģ

(c) 9p cmģ

(d) 36 cmģ

## Answer

Answer: (b) 36p cmģ

Hint:

Volume = \(\frac{1}{2}\)p Ũ 3 Ũ 3 Ũ 8 = 36p cmģ.

Question 51.

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

(a) 40p cmē

(b) 30p cmē

(c) 20p cmē

(d) 10p cmē

## Answer

Answer: (a) 40p cmē

Hint:

prē = 16p ? r = 4 cm

? Curved surface area

= 2 Ũ p Ũ 4 Ũ 5 = 40p cmē

Question 52.

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

(a) 150p cmē

(b) 300p cmē

(c) 150 cmē

(d) 300 cmē

## Answer

Answer: (a) 150p cmē

Hint:

Total surface area = 2pr (h + r)

= 2p 5 (10 + 5) = 150p cmē.

Question 53.

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 54.

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 = ― d_{1} d_{2}

A = ― x 10 x 8.2

A = 41 cm^{2}

Question 55.

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 = ― h (a + b)

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

480 = ― (15) (20 + b)

20 + b = (480 x 2)/15

20 + b = 64

b = 44cm

Question 56.

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 = ― d_{1} x d_{2}

240 = ― x 16 x d_{2}

d_{2} = 480/16 = 30 cm

Question 57.

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 58.

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

(a) a + b

(b) ab

(c) aē + bē

(d) 2ab.

## Answer

Answer: (b) ab

Question 59.

The area of a square of side a is

(a)a

(b) aē

(c) 2a

(d) 4a.

## Answer

Answer: (b) aē

Question 60.

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

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