A trough is 2 meters long, 2 meters wide, and 1 meters deep. the vertical cross-section of the trough parallel to an end is shaped like an isoceles triangle (with height 1 meters, and base, on top, of length 2 meters). the trough is full of water (density ). find the amount of work in joules required to empty the trough by pumping the water over the top. (note: use as the acceleration due to gravity.)