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Home Aptitude Volume and Surface Area Comments

  • Question
  • 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:


  • Options
  • A. 20 cm
  • B. 25 cm
  • C. 35 cm
  • D. 50 cm

  • Correct Answer
  • 25 cm 

    Explanation
    Total volume of water displaced = (4 x 50) m 3 = 200 m 3 .
    ∴ Rise in water level = 200 ❩m 0.25 m = 25 cm.
    40 x 20

  • Volume and Surface Area problems


    Search Results


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

    • Options
    • A. 344.35 cm2
    • B. 462 cm2
    • C. 498.35 cm2
    • D. None of these
    • Discuss
    • 2. 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.

    • Options
    • A. 3 : 7
    • B. 7 : 3
    • C. 6 : 7
    • D. 7 : 6
    • Discuss
    • 3. 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:

    • Options
    • A. 12Π cm3
    • B. 15Π cm3
    • C. 16Π cm3
    • D. 20Π cm3
    • Discuss
    • 4. 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?

    • Options
    • A. 5600
    • B. 6000
    • C. 6400
    • D. 7200
    • Discuss
    • 5. 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:

    • Options
    • A. 12 kg
    • B. 60 kg
    • C. 72 kg
    • D. 96 kg
    • Discuss
    • 6. 66 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be:

    • Options
    • A. 84
    • B. 90
    • C. 168
    • D. 336
    • Discuss
    • 7. 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:

    • Options
    • A. 720
    • B. 900
    • C. 1200
    • D. 1800
    • Discuss
    • 8. 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:

    • Options
    • A. 90 cm
    • B. 1 dm
    • C. 1 m
    • D. 1.1 cm
    • Discuss
    • 9. 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?

    • Options
    • A. 2 : 1
    • B. 3 : 2
    • C. 25 : 18
    • D. 27 : 20
    • Discuss
    • 10. 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:

    • Options
    • A. 3.6 kg
    • B. 3.696 kg
    • C. 36 kg
    • D. 36.9 kg
    • Discuss


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