If the edge of a cube has measure , then the diagonal of one face is by Pythagoras. The diagonal of the cube, being the hypotenuse of the right triangle formed by one edge of the cube and the diagonal of the face not containing that edge, per Mr. Pythagoras, has to be . So if:
The volume of the cube is then
John
Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it