Find the Volume of The Cube: If

If the total surface area of a cube is 864 cm square, find the volume of the cube:

  1. 1728 cm3
  2. 1624 cm3
  3. 144 cm3
  4. 1684 cm3
Harsh Vardhan Professor Asked on 30th July 2015 in Maths.
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1 Answer(s)
Best answer

Answer:  (1) 1728 cm3
Explanation:-
Given-
Total surface area of a cube = 864 cm square
Formula-
Surface area of a cube = 6 a2
Where, a – side of cube.

Then, 6 a2 = 864
a2 = 864/6
a2 = 144
Square root of both side,
a = 12
Formula-
Volume of a cube = a3
Where, a – side of a square.

Then, the volume of a cube = 123
= 12 x 12 x 12
= 1728 cm3
Hence, the answer is (1) 1728 cm3

Anurag Mishra Professor Answered on 31st July 2015.
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