Question

The length of the sides of a cube with total surface area $1536c{m}^2$ is .

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

Answer 1

The correct option is A $0.16m$

The total surface area of the cube is $6a^2$, where $a$ is the length of the sides.

As the total surface area is $1536c{m}^2$,
$6a^2=1536\Rightarrow a^2=\frac{1536}{6}\Rightarrow a^2=256\Rightarrow a=\pm 16$

Since length cannot be negative, we take the positive value as length.
$\therefore a=16cm$
In meters, it is equal to $0.16m$ as 1 metre is equal to 100 centimetres.