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Arithmetic Aptitude :: Volumes

  1. The edges of three iron cubes are 6cm; 8cm; 10cm respectively. A new cube was made by melting them. Find the edge of the new cube?
  2. A.
    8 cm
    B.
    12 cm
    C.
    14 cm
    D.
    10 cm

  3. Find the length of the wire required to go 15 times round a square field containing 69696 m2.
  4. A.
    15840 m
    B.
    16840 m
    C.
    15820 m
    D.
    15640 m

  5. What is the length of the longest pole which can be kept in a room 12 m long, 4 m broad and 3 m high?
  6. A.
    10 cm
    B.
    12 cm
    C.
    15 cm
    D.
    13 cm

  7. The volumes of two cubes are in the ratio 27: 125, what shall be the ratio of their surface areas?
  8. A.
    6:25
    B.
    3:5
    C.
    9:25
    D.
    16:25

  9. The areas of the two spheres are in the ratio 1: 4. The ratio of their volume is?
  10. A.
    1:4
    B.
    1:16
    C.
    1:8
    D.
    1:64

  11. If a solid sphere of radius 10 cms is moulded into 8 spherical solid balls of equal radius, then surface area of each ball (in cm2) is?
  12. A.
    100Ï€
    B.
    7Ï€
    C.
    60Ï€
    D.
    50Ï€

  13. The spherical ball of lead 3 cm in diameter is melted and recast into 3 spherical balls. The diameters of two of these are 1 ½ cm and 2 cm respectively. The diameter of third ball is?
  14. A.
    2.66 cm
    B.
    2.5 cm
    C.
    3 cm
    D.
    3.5 cm

  15. The radius of a cylinder is 2 r units and height is 3 r units. Find the curved surface?
  16. A.
    18 πr2 sq units
    B.
    3 πr2 sq units
    C.
    12 πr2 sq units
    D.
    6 πr2 sq units

  17. The diameter of a cylindrical tin is 6cm and height is 5 cm. Find the volume of the cylinder?
  18. A.
    30 π cc
    B.
    45 π cc
    C.
    150 π cc
    D.
    180 π cc

  19. The radius of a cylindrical vessel is 7cm and height is 3cm. Find the whole surface of the cylinder?
  20. A.
    308 sq cm
    B.
    220 sq cm
    C.
    440 sq cm
    D.
    132 sq cm