The shortest distances between an interior diagonal of a rectangular parallelpiped (box), P, and the edges it does not meet are 2 \sqrt{5}, 30 / \sqrt{13} and 15 / \sqrt{10}. Determine the volume of P.
The shortest distances between an interior diagonal of a rectangular parallelpiped (box), P, and the edges it does not meet are 2 \sqrt{5}, 30 / \sqrt{13} and 15 / \sqrt{10}. Determine the volume of P.