## CBSE Class 9 Surface Areas and Volumes MCQ By Clarify Knowledge

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## CBSE Class 9 Surface Areas and Volumes MCQ Table

Question 1.

If the perimeter of one of the faces of a cube is 40 cm, then its volume is:

(a) 6000 cm³

(b) 1600 cm³

(c) 1000 cm³

(d) 600 cm³

Question 2.

A cuboid having surface areas of 3 adjacent faces as a, b and c has the volume:

(a) 3abc−−−√

(b) abc−−−√

(c) abc

(d) (abc)²Answer

Question 3.

The radius of a cylinder is doubled and the height remains the same. The ratio between the volumes of the new cylinder and the original cylinder is

(a) 1 : 2

(b) 3 : 1

(c) 4 : 1

(d) 1 : 8Answer

Question 4.

Length of diagonals of a cube of side a cm is

(a) √2a cm

(b) √3a cm

(c) 3a−−√ cm

(d) 1 cmAnswer

Question 5.

Volume of spherical shell is

(a) 23 πr³

(b) 34 πr³

(c) 43 π(R³ – r³)

(d) None of these

Question 6.

Volume of hollow cylinder

(a) π(R² – r²)h

(b) πR²h

(c) πr²h

(d) πr²(h_{1} – h_{1})

Question 7.

The radius of a sphere is 2r, then its volume will be

(a) 43 πr³

(b) 4πr³

(c) 83 πr³

(d) 323 πr³

Question 8.

In a cylinder, radius is doubled and height is halved, curved surface area will be

(a) halved

(b) doubled

(c) same

(d) four time

Question 9.

The total surface area of a cone whose radius is r2 and slant height 2l is

(a) 2πr(l + r)

(b) πr(l + r4)

(c) πr(l + r)

(d) 2πrl

Question 10.

The radius of a hemispherical balloon increases from 6 cm to 12 cm as air is being pumped into it. The ratios of the surface areas of the balloon in the two cases is

(a) 1 : 4

(b) 1 : 3

(c) 2 : 3

(d) 2 : 1

Question 11.

The length of the longest pole that can be put in a room of dimension (10 m × 10 m × 5 m) is

(a) 15 m

(b) 16 m

(c) 10 m

(d) 12 mAnswer

Question 12.

The lateral surface area of a cube is 256 m³. The volume of the cube is

(a) 512 m³

(b) 64 m³

(c) 216 m³

(d) 256 m³

Question 13.

The radii of two cylinders are in the ratio of 2 : 3 and their heights are in the ratio of 5 : 3. The ratio of their volumes is

(a) 10 : 17

(b) 20 : 27

(c) 17 : 27

(d) 20 : 37

Question 14.

A cone is 8.4 cm high and the radius of its base is 2.1 cm. It is melted and recast into a shape. The radius of the sphere is

(a) 4.2 cm

(b) 2.1 cm

(c) 2.4 cm

(d) 1.6 cm

Question 15.

The total surface area of a cube is 96 cm². The volume of the cube is

(a) 8 cm³

(b) 512 cm³

(c) 64 cm³

(d) 27 cm³