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Home Aptitude Volume and Surface Area Comments

  • Question
  • 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

  • Correct Answer
  • 84 

    Explanation
    Let the length of the wire be h
    Radius = 1 mm = 1 cm. Then,
    2 20

    22 x 1 x 1 x h = 66.
    7 20 20

    h = 66 x 20 x 20 x 7 = 8400 cm = 84 m.
    22

  • Volume and Surface Area problems


    Search Results


    • 1. 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
    • Discuss
    • 2. 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
    • 3. 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
    • 4. 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
    • 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?

    • Options
    • A. 5600
    • B. 6000
    • C. 6400
    • D. 7200
    • Discuss
    • 6. 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
    • 7. 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
    • 8. 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
    • 9. 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
    • 10. In a shower, 5 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is:

    • Options
    • A. 75 cu. m
    • B. 750 cu. m
    • C. 7500 cu. m
    • D. 75000 cu. m
    • Discuss


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