The length of the body diagonal of a cube is $8\sqrt{3}$ cm. What is the volume (in cm3) of the cube?
Answer & explanation
Correct answer: option 3
We know that,
Diagonal of cube = \(\sqrt {3}\) × Side of cube
and the volume of the cube = (Side of cube)3
We have the diagonal of the cube = $8\sqrt{3}$
So, according to the question,
\(\sqrt {3}\) × Side of cube = $8\sqrt{3}$
Side of cube = 8
Then the volume of the cube = (8)3 = 512