Volume & Surface Area Questions and Answers

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Q91
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
Answer: Option A
Q92
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
Answer: Option B
Q93
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
Answer: Option B
Q94
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
Answer: Option B
Q95
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
Answer: Option B
Q96
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
Answer: Option B
Q97
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
Answer: Option B
Q98
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
Answer: Option C
Q99
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
Answer: Option C
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