Question

The volume of cube is `1000cm^(3)`.Find its total surface area.

Answer 1

Given:

$\text{Volume of a cube=1000cm}^3$

Let the length of a side is 'a' cm.

$\begin{gathered} \text{Volume of a cube=1000} \\ a^3=1000 \\ a^3=10^3 \\ a=10\operatorname{cm} \end{gathered}$

$\begin{gathered} \text{Total surface are of a cube=6}a^2 \\ \text{Total surface are of a cube=}6(10)^2_{} \\ \text{Total surface are of a cube=}6(100) \\ \text{Total surface are of a cube=}600cm^2 \end{gathered}$