Volume & Surface Area Questions and Answers

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Q21
A tank 4 m long, 2.5 m wide and 1.5 m wide is dug in a field 31 m long and 10 m wide. If the earth dug out is evenly sperad out is evenly spread out over the field, the rise in level of the field is :
  • A 3.1 cm
  • B 6.2 cm
  • C 5 cm
  • D 4.8 cm
Answer: Option C
Q22
If each edgeoff a cube is doubled, then its volume :
  • A is doubed
  • B becomes 4 times
  • C Becomes 6 times
  • D becomes 8 times
Answer: Option D
Q23
If each edge  of a cube is increased by 25 %, then the percentage increase in its surface area is :
  • A 25%
  • B 50%
  • C 48.75%
  • D 56.25%
Answer: Option D
Q24
Two cubes have their volumes in the ratio 8 : 27. The ratio of their surface area is :
  • A 2 : 3
  • B 3 : 2
  • C 4 : 9
  • D 64 : 729
Answer: Option C
Q25
A cube of side 6 cm is cut into a number of cubes, each of side 2 cm. The number of cubes will be :
  • A 6
  • B 9
  • C 12
  • D 27
Answer: Option D
Q26
If the areas of three adjacent faces of a rectangular block are in the ratio of 2 : 3 : 4 and its volume is 9000 cu.cm; then the length of the shortest side is :
  • A 10 cm
  • B 15 cm
  • C 20 cm
  • D 30 cm
Answer: Option B
Q27
The percentage increase in the surface area of a cube when each side is doubled, is :
  • A 25 %
  • B 50 %
  • C 150 %
  • D 300 %
Answer: Option D
Q28
The radii of two cylinders are  in the ratio of 2 : 3 and their heights are in the ratio 5 : 3. The ratio o their volumes is :
  • A 4 :9
  • B 9 : 4
  • C 20 : 27
  • D 27 : 20
Answer: Option C
Q29
The number of coins 1.5 cm in diameter and 0.2 cm thick to be melted to form a right circular cylinder of height 10 cm and diameter 4.5 cm, is :
  • A 380
  • B 450
  • C 472
  • D 540
Answer: Option B
Q30
A cylindrical vessel 60 cm in diameter is partially filled with water. A sphere 30 cm is diameter is dropped into it. The increse in the level of water in the vessel is :
  • A 2 cm
  • B 3 cm
  • C 4 cm
  • D 5 cm
Answer: Option D
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