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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