MCQ
The total surface area of a cube is $864 \ cm^2$. Its volume is
- A$3456 \ cm^3$
- B$432 \ cm^3$
- ✓$1728 \ cm^3$
- D$3456 \ cm^3$
✓
Answer
Correct option: C.
$1728 \ cm^3$
$\because \text { Total surface area of a cube }=6 a^2$
$\Rightarrow 6 a^2=864$
$\Rightarrow a^2=144$
$\Rightarrow a=12$
$\therefore \text { Volume of cube }=a^3=12^3=1728 \ cm^3$
$\Rightarrow 6 a^2=864$
$\Rightarrow a^2=144$
$\Rightarrow a=12$
$\therefore \text { Volume of cube }=a^3=12^3=1728 \ cm^3$
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