Question

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

• A. 6 times
• B. 2 times
• C. 24 times
• D. 4 times

Answer 1

The correct option is D 4 times

Let $x$ be the side length of the cube.
Then, its total surface area $=6x^2$
Increased length of the edge $=2x$
New total surface area $=6{\left(2x\right)}^2$
$=24x^2$
$=4\left(6x^2\right)$
i.e., New TSA = 4 $\times$ Original TSA
Hence the answer.