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