How Many Percent Increased in The Surface Area of Cube ? If

The percentage increase in the surface area of a cube when each side is doubled is:

  1. 150%
  2. 50%
  3. 200%
  4. 300%
Anurag Mishra Professor Asked on 14th August 2015 in Maths.
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    Best answer

    Answer: (4) 300%

    Explanation:-
    Let the side of a cube be X

    Formula-
    The surface of the cube = 6 a2
    Where, a = side of the cube.

    Then, The surface area of the cube = 6 X2

    If the each side is doubled,
    Then, the surface area of the cube = 6 (2 X)2
    = 6 x 4 X2
    = 24 X2
    Increased surface area = 24 X2 – 6 X2
    = 18 X2
    Increase surface area in percent = 18 X2 x 100/6 X2
    = 300 %

    Then, The percentage increase in the surface area of a cube when each side is doubled is 300 %.

    Hence, the answer is (4) 300%.

    Anurag Mishra Professor Answered on 14th August 2015.
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