Prepare for IBPS Bank Exams with these Volume and Surface area problems. Prepare for Indian Overseas Bank with these quantitative aptitude questions related to volume and surface area.

1. A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, the volume of the hall is:

A. 720

B. 900

C. 1200

D. 1800

2. The slant height of a right circular cone is 10 m and its height is 8 m. Find the area of its curved surface.

A. 30 pi m2

B. 40 pi m2

C. 60 pi m2

D. 80 pi m2

3. A cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.1 m and its walls are 5 cm thick. The thickness of the bottom is:

A. 90 cm

B. 1 dm

C. 1 m

D. 1.1 cm

4. A large cube is formed from the material obtained by melting three smaller cubes of 3, 4 and 5 cm side. What is the ratio of the total surface areas of the smaller cubes and the large cube?

A. 2 : 1

B. 3 : 2

C. 25 : 18

D. 27 : 20

5. A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weighs 8 g/cm3, then the weight of the pipe is:

A. 3.6 kg

B. 3.696 kg

C. 36 kg

D. 36.9 kg

6. In a shower, 5 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is:

A. 75 cu. m

B. 750 cu. m

C. 7500 cu. m

D. 75000 cu. m

7. A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8 m, the volume of the box (in m3) is:

A. 4830

B. 5120

C. 6420

D. 8960

8. 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 on it. The mass of the man is:

A. 12 kg

B. 60 kg

C. 72 kg

D. 96 kg

9. What is the total surface area of a right circular cone of height 14 cm and base radius 7 cm?

A. 344.35 cm2

B. 462 cm2

C. 498.35 cm2

D. None of these

10. A cistern 6m long and 4 m wide contains water up to a depth of 1 m 25 cm. The total area of the wet surface is:

A. 49 m2

B. 50 m2

C. 53.5 m2

D. 55 m2

1. C 2. C 3. B 4. C 5. B

6. B 7. B 8. B 9. C 10. A

1. A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, the volume of the hall is:

A. 720

B. 900

C. 1200

D. 1800

2. The slant height of a right circular cone is 10 m and its height is 8 m. Find the area of its curved surface.

A. 30 pi m2

B. 40 pi m2

C. 60 pi m2

D. 80 pi m2

3. A cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.1 m and its walls are 5 cm thick. The thickness of the bottom is:

A. 90 cm

B. 1 dm

C. 1 m

D. 1.1 cm

4. A large cube is formed from the material obtained by melting three smaller cubes of 3, 4 and 5 cm side. What is the ratio of the total surface areas of the smaller cubes and the large cube?

A. 2 : 1

B. 3 : 2

C. 25 : 18

D. 27 : 20

5. A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weighs 8 g/cm3, then the weight of the pipe is:

A. 3.6 kg

B. 3.696 kg

C. 36 kg

D. 36.9 kg

6. In a shower, 5 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is:

A. 75 cu. m

B. 750 cu. m

C. 7500 cu. m

D. 75000 cu. m

7. A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8 m, the volume of the box (in m3) is:

A. 4830

B. 5120

C. 6420

D. 8960

8. 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 on it. The mass of the man is:

A. 12 kg

B. 60 kg

C. 72 kg

D. 96 kg

9. What is the total surface area of a right circular cone of height 14 cm and base radius 7 cm?

A. 344.35 cm2

B. 462 cm2

C. 498.35 cm2

D. None of these

10. A cistern 6m long and 4 m wide contains water up to a depth of 1 m 25 cm. The total area of the wet surface is:

A. 49 m2

B. 50 m2

C. 53.5 m2

D. 55 m2

**Answers :**1. C 2. C 3. B 4. C 5. B

6. B 7. B 8. B 9. C 10. A

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