Question:
The surface area of a cube is 1176 cm2. Find its volume.
Solution:
Let $a$ be the length of the edge of the cube.
Total surface area $=6 a^{2}=1176 \mathrm{~cm}^{2}$
$\Rightarrow a=\sqrt{\frac{1176}{6}}=\sqrt{196}=14 \mathrm{~cm}$
$\therefore$ Volume $=a^{3}=14^{3}=2744 \mathrm{~cm}^{3}$