Surface Area and Volume Free Question Bank

A right triangle with sides 3 cm, 4 cm and 5 cm is rotated the side of 3 cm to form a cone. The volume of the cone so formed is:

A 12 cm3
B 15 cm3
C 16 cm3
D 20 cm3
E NA

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
E NA

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
E NA

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

A 84
B 90
C 168
D 336
E NA

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
E NA

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
E NA

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:

A 20 cm
B 25 cm
C 35 cm
D 50 cm
E NA

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 m2
B 40 m2
C 60 m2
D 80 m2
E NA

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
E NA

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
E NA

The curved surface area of a cylindrical pillar is 264 m2 and its volume is 924 m3. Find the ratio of its diameter to its height.

A 3 : 7
B 7 : 3
C 6 : 7
D 7 : 6
E NA

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
E NA

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
E NA

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
E NA

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?

A 5600
B 6000
C 6400
D 7200
E NA
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