Question

Find the length of the side of a cube whose total surface area is $1536c{m}^2$.

• A. $0.16m$
• B. $0.16cm$
• C. $1.6m$
• D. $160cm$

Answer 1

The correct option is A

$0.16m$

The total surface area of a cube is equal to $6a^2$, where $a$ is the side of the cube.

Given, total surface area of the cube is 1536 ${\text{cm}}^2$.

So, $6a^2=1536$

$⟹a^2=256$

$⟹a=\pm 16$

Since length can't be negative, we must have,
$a=16\text{cm}$
$=0.16\text{m}$