The length of the body diagonal of a cube is $8\sqrt{3}$ cm. What is the volume (in cm3) of the cube?

343 216 512 729

512

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