What The Volume Of The Cube

The whole surface of a cube is 150 sq.cm. Then the volume of the cube is

  1. 125 cm3
  2. 216 cm3
  3. 343 cm3
  4. 512 cm3
Anurag Mishra Professor Asked on 19th July 2015 in Maths.
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1 Answer(s)

Answer: (1)  125 cm3.
Explanation:-
The whole surface area of a cube = 150 sq.cm.         (Given)
Formula-
The whole surface area of cube = 6a2
Where, a = side of cube
= 6a2 = 150
a2 = 150/6
a2 = 25
a  = 5                         (square root of both side)
Formula-
The volume of cube = a3
Where, a = side of a cone.
Then, the volume of cube = 53
= 5 x 5 x 5 = 125 cm3
Hence, the volume of the cube is 125 cm3.

Anurag Mishra Professor Answered on 19th July 2015.
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