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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