12. A 20-ft long water trough has ends in the form of isosceles triangles with sides that are 4 ft long. See Figure 2.9.27. Determine the dimension across the top of the triangular end so that the volume of the trough is maximum. [Hint: A right cylinder is not necessarily a circular cylinder where the top and bottom are circles. The top and bottom of a right cylinder are the same but could be a triangle, a pentagon, a trapezoid, and so on. The volume of a right cylinder is the area of the base x height.] 20 fí FIGURE 2.9.27 Water trough in Problem 47

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