Dale has a water trough whose ends are trapezoids and whose sides are rectangles, as illustrated. He is afraid that the base it is sitting on will not support the weight of the trough when it is filled with water. He knows that the base will support 4800 lb.

(a) If the trough is filled with water, determine the number of cubic feet of water contained in the trough. 

(b) Determine the total weight, assuming that the trough weighs 375 lb and the water weighs 62.4 lb per cubic foot. Is the base strong enough to support the trough filled with water? 

(c) If 1 gal of water weighs 8.3 lb, how many gallons of water will the trough hold?

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4 ft - - 8 ft 3 ft K2 ft