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Question

If each edge of a cube is doubled, then by how many times will its surface area increase?

A
6 times
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B
2 times
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C
24 times
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D
4 times
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Solution

The correct option is D 4 times
Let x be the side length of the cube.
Then, its total surface area =6x2
Increased length of the edge =2x
New total surface area =6(2x)2
=24x2
=4(6x2)
i.e., New TSA = 4 × Original TSA
Hence the answer.

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