Question

Find the volume of the cube whose diagonal is $9\sqrt{3}\mathrm{cm}$.

• A. 279
• B. $729{\mathrm{cm}}^3$
• C. 972
• D. None of these

Answer 1

Answer: (B)

$\text{ Diagonal of cube }=9\sqrt{3}\mathrm{cm}$
$a\sqrt{3}=9\sqrt{3}\mathrm{cm}$
$a=9$
$\therefore \text{ Volume of cube }=729{\mathrm{cm}}^3$