Arithmatical - Volume and Surface Areas

DIRECTIONS : Problems based on Volume&Surface Areas.
22. If the numbers representing volume and surface area of a cube are equal, then the length of the edge of the cube in terms of the unit of measurement will be
  A.  3
  B.  4
  C.  5
  D.  6
Solution
a3= 6a2
a = 6.
23. The surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 12 cm each. The radius of the sphere is
  A.  3 cm
  B.  4 cm
  C.  6 cm
  D.  8 cm
Solution
4ΠR2= 2Π6x12
⇒ R2 = (6x12/2)
36
R = 6 cm.

24. Five equal cubes, each of side 5 cm, are placed adjacent to each other. The volume of the new solid formed will be
  A.  125 cm3
  B.  625 cm3
  C.  15525cm3
  D.  1225cm3
Solution
The new solid formed is a cuboid of length 25 cm, breadth 5 cm and height 5 cm
∴Volume = (25x5x5)cm3
‹=›625cm3
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