Question

The diagonal of a cube measures $4\sqrt{3}cm$. Its volume is

• A. $8c{m}^3$
• B. $16c{m}^3$
• C. $27c{m}^3$
• D. $64c{m}^3$

Answer 1

Answer: (D)

$64c{m}^3$

We know that the diagonal of a cube $=a\sqrt{3}$

So, $a\sqrt{3}=4\sqrt{3}$

$a=4$

Hence,

Volume of cube $=a^3=4^3=64c{m}^3$