Arithmatical - Volume and Surface Areas

DIRECTIONS : Problems based on Volume&Surface Areas.
4. 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 man is
  A.  12 kg
  B.  60 kg
  C.  72 kg
  D.  96 kg
Solution
Volume of water displaced= (3 x 2 x 0.01)m3
= 0.06m3.
Mass of man =Volume of water displaced ×Density of water
= (0.06×1000) kg
= 60 kg.
5. The heights of a wall is six times its width and the length of the wall is seven times its height. If volume of the wall be 16128 cu .m, its width is
  A.  4 m
  B.  4.5 m
  C.  5 m
  D.  6 m
Solution
Let the width of the wall be x metres.
Then, Height = (6x)m and length= (42x)m.
42x × x ×6x= 16128
x3‹=› (16128 / 42 × 6)= 64
‹=› x= 4.

6. 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
Solution
Number of bricks = Volume of the wall/Volume of 1 brick
=(800x600x22.5 /25x11.25x6)
= 6400.
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