Question
The volume of a cube is $512\ cm^3$. Its total surface area is:
✓
Answer
Volume of a cube $= (side)^3$
Given volume $= 512\ cm^3$
$\Rightarrow (side)^3 = 512\ cm^3$
$\Rightarrow\text{side}=\sqrt[3]{512}=8\text{cm}$
Total surface area of a cube $= 6(side)^2$
$\Rightarrow$ Total surface area $= 6(8)^2\ cm^2$
$= 384\ cm^2$
Given volume $= 512\ cm^3$
$\Rightarrow (side)^3 = 512\ cm^3$
$\Rightarrow\text{side}=\sqrt[3]{512}=8\text{cm}$
Total surface area of a cube $= 6(side)^2$
$\Rightarrow$ Total surface area $= 6(8)^2\ cm^2$
$= 384\ cm^2$
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