## 1. The surface area of a cube with side 'a' is:

a) a^2

b) 6a^2

c) a^3

d) 12a

### Answer:

b) 6a^2

### Explanation:

A cube has six equal faces. Each face has an area of a^2. So, total surface area = 6a^2.

## 2. The volume of a cylinder with radius 'r' and height 'h' is:

a) πr^2h

b) 2πrh

c) πr^3

d) πh^2

### Answer:

a) πr^2h

### Explanation:

The volume of a cylinder is given by the base area multiplied by the height: πr^2h.

## 3. The curved surface area of a cone with slant height 'l' and base radius 'r' is:

a) πrl

b) πr^2

c) ⅓πr^2h

d) 2πr^2

### Answer:

a) πrl

### Explanation:

Curved surface area of a cone is given by πrl.

## 4. The volume of a sphere with radius 'r' is:

a) 2/3 πr^3

b) 4/3 πr^3

c) πr^2

d) 4πr^2

### Answer:

b) 4/3 πr^3

### Explanation:

The volume of a sphere is 4/3 πr^3.

## 5. The total surface area of a cylinder with radius 'r' and height 'h' is:

a) 2πrh

b) πr^2 + 2πrh

c) 2πr(r+h)

d) πr^2h

### Answer:

c) 2πr(r+h)

### Explanation:

Total surface area includes two bases and the curved surface: 2πr^2 + 2πrh = 2πr(r+h).

## 6. A cone and a cylinder have the same base and the same height. The ratio of their volumes is:

a) 1:1

b) 1:2

c) 1:3

d) 2:3

### Answer:

c) 1:3

### Explanation:

Volume of cone = ⅓πr^2h and volume of cylinder = πr^2h. Their ratio is 1:3.

## 7. If the radius of a sphere is doubled, its volume becomes:

a) Twice

b) Thrice

c) Four times

d) Eight times

### Answer:

d) Eight times

### Explanation:

New volume = 4/3 π(2r)^3 = 8 times the original volume.

## 8. The height of a cylinder with base radius 'r' and volume 'V' is:

a) V/πr^2

b) V/2πr

c) 2V/πr^2

d) πr^2/V

### Answer:

a) V/πr^2

### Explanation:

Volume of cylinder = πr^2h. Therefore, h = V/πr^2.

## 9. The volume of a cube with edge 'a' is:

a) a^2

b) 6a^2

c) a^3

d) 3a

### Answer:

c) a^3

### Explanation:

Volume of cube = a x a x a = a^3.

## 10. The slant height of a cone with base radius 'r' and height 'h' is:

a) √(r^2 + h^2)

b) r + h

c) rh

d) r^2 + h^2

### Answer:

a) √(r^2 + h^2)

### Explanation:

By Pythagoras theorem, slant height^2 = r^2 + h^2. So, slant height = √(r^2 + h^2).