1. The problem statement, all variables and given/known data The volume of a cube is 8, how long is its main diagonal (the line segment joining the two farthest corners)? 2. Relevant equations Pythagorean theorem 3. The attempt at a solution I have no idea how to determine the length of the line segment between the two farthest corners of a cube. I've never confronted a problem of this sort. Once I learn how to determine that line segment, I'll be able to solve the rest of the problem using Pythagorean Theorem.