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# Volume and Surface Area Questions and Answers

Quiz on Volume and Surface Area
Quiz 1:

1. The curved surface area of a cylindrical pillar is 264m^2 and its volume is 924m^3. Find the ratio of its diameter to its height.

3 : 7
7 : 3
6 : 7
7 : 6

2. 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:

90 cm
1 dm
1 m
1.1 cm

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

344.35 cm^2
462 cm^2
498.35 cm^2
None of these

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?

2 : 1
3 : 2
25 : 18
27 : 20

5. How many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 8 m x 6 m x 22.5 cm?

5600
6000
6400
7200

Score =

Quiz 2:

1. 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:

12 kg
60 kg
72 kg
96 kg

2. 50 men took a dip in a water tank 40 m long and 20 m broad on a religious day. If the average displacement of water by a man is 4 m3, then the rise in the water level in the tank will be:

20 cm
25 cm
35 cm
50 cm

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

30π m^2
40π m^2
60π m^2
80π m^2

4. 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:

49 m^2
50 m^2
53.5 m^2
55 m^2

5. 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 m^3) is:

4830
5120
6420
8960

Score =