A trough is 8 meters long, 1.5 meters wide, and 4 meters deep. The vertical cross-section of the trough parallel to an end is shaped like an isoceles triangle (with height 4 meters, and base, on top, of length 1.5 meters). The trough is full of water (density 1000Icg/ m0 ). Find the amount of work (in Joules) required to empty the trough by pumping the water over the top. (Note: Use 9 = 9.8m / s2 as the acceleration due to gravity.)