Question:
The volume of a cube is 512 cm3. Find its surface area.
Solution:
Suppose that the side of the given cube is x cm.
Volume of the cube = 512 cm3
Then $512=x^{3}$
$\Rightarrow x=\sqrt[3]{512}=8$
i. e., the side of the cube is $8 \mathrm{~cm}$.
$\therefore$ Surface area of the cube $=6 x^{2} \mathrm{~cm}^{2}=6 \times 8^{2} \mathrm{~cm}^{2}=384 \mathrm{~cm}^{2}$
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