Volume and Surface Area Questions With Explanation

1. Find the surface area of a 10cm*4cm*3cm brick.

A. 154 cm square

B. 156 cm square

C. 160 cm square

D. 164 cm square

2. A cistern 6 m long and 4 m wide contains water up to a breadth of 1 m 25 cm. Find the total area of the wet surface.

A. 42 m square

B. 49 m square

C. 52 m square

D. 64 m square

3. A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1 cm when a man gets into it. The mass of the man is :

A. 50 kg

B. 60 kg

C. 70 kg

D. 80 kg

4. How many bricks, each measuring 25cm*11.25cm*6cm, will be needed to build a wall 8m*6m*22.5m

A. 6100

B. 6200

C. 6300

D. 6400

5. A swimming pool 9 m wide and 12 m long is 1 m deep on the shallow side and 4 m deep on the deeper side. Its volume is:

A. 260

B. 262

C. 270

D. 272

6. The cost of the paint is Rs. 36.50 per kg. If 1 kg of paint covers 16 square feet, how much will it cost to paint outside of a cube having 8 feet each side.

A. Rs. 850

B. Rs. 860

C. Rs. 876

D. Rs. 886

7. How many cubes of 10 cm edge can be put in a cubical box of 1 m edge.

A. 10000 cubes

B. 1000 cubes

C. 100 cubes

D. 50 cubes

8. If the volume of two cubes are in the ratio 27:1, the ratio of their edges is:

A. 3:1

B. 3:2

C. 3:5

D. 3:7

9. 66 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length if the wire in meters will be:

A. 76 m

B. 80 m

C. 84 m

D. 88 m

10. The slant height of a conical mountain is 2.5 km and the area of its base is 1.54 km square. The height of mountain is :

A. 2.3 km

B. 2.4 km

C. 2.5 km

D. 2.6 km