A trough is 4 meters long, 2.5 meters wide, and 5 meters deep. The vertical cross-section of the trough parallel to an end is shaped like an isoceles triangle (with height 5 meters, and base, on top, of length 2.5 meters). The trough is full of water (density $\displaystyle {1000}\frac{\text{kg}}{\text{m}^{{3}}}$ ). Find the amount of work in joules required to empty the trough by pumping the water over the top. (Note: Use $\displaystyle {g}={9.8}\frac{{m}}{{s}^{{2}}}$ as the acceleration due to gravity.)



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