Question

If the side of a cube is tripled, by what factor does its lateral surface area change?

• A. 9

Answer 1

The correct option is A 9
Let the side of the cube be $a$

Lateral surface area of the cube = 4$a^2$

According to the question,

New side of the cube = 3$a$

New lateral surface area of the cube
$=4\times {\left(3a\right)}^2$
$=36a^2$

Hence, if the side of the cube is tripled, its lateral surface area becomes 9 times.