Question:
The total surface area of a cube is 1176 cm2. Find its volume.
Solution:
Suppose that the side of cube is x cm.
Total surface area of cube = 1176 sq cm
Then $1176=6 x^{2}$
$\Rightarrow x^{2}=\frac{1176}{6}=196$
$\Rightarrow x=\sqrt{196}=14$
i.e., the side of the cube is 14 cm.
$\therefore$ Volume of the cube $=x^{3}=14^{3} \mathrm{~cm}^{3}=2744 \mathrm{~cm}^{3}$