MCQ
The volume of a cube is $ 512\ cm^3$. Its total surface area is:
- A$512\ cm^2$
- B$256\ cm^2$
- ✓$384\ cm^2$
- D$64\ cm^2$
✓
Answer
Correct option: C.
$384\ cm^2$
Volume of a cube $= ($side$)^3$
Given volume $= 512\ cm^3$
$⇒ ($side$)^3 = 512\ cm^3$
$\Rightarrow\text{side}=\sqrt[3]{512}=8\text{cm}$
Total surface area of a cube $= 6($side$)^2$
$⇒$ Total surface area $= 6(8)^2\ cm^2 = 384\ cm^2$
Given volume $= 512\ cm^3$
$⇒ ($side$)^3 = 512\ cm^3$
$\Rightarrow\text{side}=\sqrt[3]{512}=8\text{cm}$
Total surface area of a cube $= 6($side$)^2$
$⇒$ Total surface area $= 6(8)^2\ cm^2 = 384\ cm^2$
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