Question

The total surface area of a cube is 1176 cm². Find its volume.

Answer 1

Suppose that the side of cube is x cm.
Total surface area of cube = 1176 sq cm
$$\begin{gathered} \mathrm{Then}1176=6x^2 \\ \Rightarrow x^2=\frac{1176}{6}=196 \\ \Rightarrow x=\sqrt{196}=14 \end{gathered}$$
i.e., the side of the cube is 14 cm.

∴ Volume of the cube = $x^3={14}^3{\mathrm{cm}}^3=2744{\mathrm{cm}}^3$