Arithmatical - Volume and Surface Areas

DIRECTIONS : Problems based on Volume&Surface Areas.
7. How many cubes of 3 cm edge can be cut of a cube of 18 cm edge?
  A.  36
  B.  216
  C.  218
  D.  432
Solution
Number of cubes= (18×18×18 / 3×3×3)
‹=› 216.
8. 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:
  A.  720
  B.  900
  C.  1200
  D.  1800
Solution
2(15 + 12) ×h= 2(15 x 12)
‹=›h= 180/27 m
= 20/3m
Volume= (15×12×20/3)m3
‹=›1200 m3.

9. A circular well with a diameter of 2 metres , is dug to a depth of 14 metres. What is the volume of the earth dug out?
  A.  32 m3
  B.  36 m3
  C.  40 m3
  D.  44 m3
Solution
Volume= πr2h
‹=› (22 /7 ×1×1×14)m3
‹=›44 m3.
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