Question

The volume of a cube with diagonal of length d units is $\frac{d^3}{3\sqrt{3}}cu.units$
State True or False.

• A. True
• B. False
• C. Data Insufficient
• D. None of the above

Answer 1

The correct option is A True

We know that the length of the diagonal of the cube of side a is $a\sqrt{3}=d$
So $a=d/\left(\sqrt{3}\right)$
Now, Volume $=a^3=\left(d/\right(\sqrt{3}){)}^3=d^3/3(\sqrt{3})$