The surface area of a cube is 1176 cm

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

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