## Problems on Volume and Surface Area

Learn and practice Problems on volume and surface area with easy explaination and shortcut tricks. All questions and answers on volume and surface area covered for various Competitive Exams

## Solve Problems:

1) The surface area of a cube is 600 cm2. The length of its diagonal is

1. 5 cm
2. 15 cm
3. 10 root 3  cm
4. 10  cm

2) The length of the longest rod that can be placed in a room 30 m long, 24 m broad and 18 m high, is

1. 30 m
2. 15  m
3. 30  m
4. 60 m

3) The dimensions of a hall are 40 m, 25 m and 20 m. If each person requires 200 cubic meters, find the number of persons who can be accommodated in the hall.

1. 150
2. 140
3. 120
4. 100

4) 4 cubes each of 6 cm2 total surface area and another cube of 24 cm2 total surface area are placed together in such a way to form a rectangular parallelepiped. The total surface area of the parallelepiped so formed is

1. 48 cm2
2. 40 cm2
3. 36 cm2
4. 32 cm2

5) A water tank is 30 m long, 20 m wide and 12 m deep. It is made of iron sheet which is 3 m wide. The tank is open at the top. If the cost of iron sheet is Rs. 10 per meter, what is the total cost of iron sheet required to build the tank?

1. Rs. 6000
2. Rs. 8000
3. Rs. 9000
4. Rs. 10,000

6) In a shower 10 cm of rain falls. What is the volume of water that falls on 1.5 hectares of ground?

1. 1500 m3
2. 1400 m3
3. 1200 m3
4. 1000 m3

7) The dimensions of a piece of iron in the shape of a cuboid are 270 cm x 100 cm x 64 cm. If it is melted and recast into a cube, find the surface of the cube.

1. 14,400 cm2
2. 44,200 cm2
3. 57,600 cm2
4. 86,400 cm2

8) Surface area of a sphere is 5544 cm2. Its volume will be

1. 30808 cm3
2. 38808 cm3
3. 380808 cm3
4. 380800 cm3

9) If two spheres have their radii in the ratio 2: 3, the ratio of their volumes is

1. 8 : 27
2. 4 : 9
3. 6 : 12
4. 1 : 15

10) The radius of hemisphere is 3 cm. The ratio of its volume to the total surface area is

1. 1: 3
2. 2: 1
3. 1: 1
4. 2: 3