Check the below NCERT MCQ Questions for Class 9 Maths Chapter 13 Surface Areas and Volumes with Answers Pdf free download. MCQ Questions for Class 9 Maths with Answers were prepared based on the latest exam pattern. We have provided Surface Areas and Volumes Class 10 Maths MCQs Questions with Answers to help students understand the concept very well.

Students can also refer to NCERT Solutions for Class 9 Maths Chapter 13 Surface Areas and Volumes for better exam preparation and score more marks.

## Surface Areas and Volumes Class 9 MCQs Questions with Answers

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

## Answer

Answer: (c) 1000 cm³

Question 2.

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

(a) 3\(\sqrt{abc}\)

(b) \(\sqrt{abc}\)

(c) abc

(d) (abc)²

## Answer

Answer: (b) \(\sqrt{abc}\)

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 : 8

## Answer

Answer: (c) 4 : 1

Question 4.

Length of diagonals of a cube of side a cm is

(a) √2a cm

(b) √3a cm

(c) \(\sqrt{3a}\) cm

(d) 1 cm

## Answer

Answer: (b) √3a cm

Question 5.

Volume of spherical shell is

(a) \(\frac{2}{3}\) πr³

(b) \(\frac{3}{4}\) πr³

(c) \(\frac{4}{3}\) π(R³ – r³)

(d) None of these

## Answer

Answer: (c) \(\frac{4}{3}\) π(R³ – r³)

Question 6.

Volume of hollow cylinder

(a) π(R² – r²)h

(b) πR²h

(c) πr²h

(d) πr²(h_{1} – h_{1})

## Answer

Answer: (a) π(R² – r²)h

Question 7.

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

(a) \(\frac{4}{3}\) πr³

(b) 4πr³

(c) \(\frac{8}{3}\) πr³

(d) \(\frac{32}{3}\) πr³

## Answer

Answer: (d) \(\frac{32}{3}\) 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

## Answer

Answer: (c) same

Question 9.

The total surface area of a cone whose radius is \(\frac{r}{2}\) and slant height 2l is

(a) 2πr(l + r)

(b) πr(l + \(\frac{r}{4}\))

(c) πr(l + r)

(d) 2πrl

## Answer

Answer: (b) πr(l + \(\frac{r}{4}\))

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

## Answer

Answer: (a) 1 : 4

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 m

## Answer

Answer: (a) 15 m

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

## Answer

Answer: (a) 512 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

## Answer

Answer: (b) 20 : 27

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

## Answer

Answer: (b) 2.1 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

## Answer

Answer: (c) 64 cm³

We hope the given NCERT MCQ Questions for Class 9 Maths Chapter 13 Surface Areas and Volumes with Answers Pdf free download will help you. If you have any queries regarding Surface Areas and Volumes CBSE Class 9 Maths MCQs Multiple Choice Questions with Answers, drop a comment below and we will get back to you soon.