3. (15 pts) The uniform rectangular box has a mass of 1500 Kg. The dimensions of its edges are a = 4m, b = 2.5m and c = 3m Z O C Y a b X Figure 1: Problem 3. Please see also the figure for problem 9.10 on page 536. a. Find the mass moments of inertia about the xyz axes. b. Find the principal moments of inertia and the principal directions about the xyz axes through O. c. Find the moment of inertial about the line through O and the point with coordinates (4m, 2.5m, 3m)