The total surface area of a cube is 1176 cm2.

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 $=x^{3}=14^{3} \mathrm{~cm}^{3}=2744 \mathrm{~cm}^{3}$

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