Math CentralQuandaries & Queries


Question from kirara, a student:

Find the volume of water in a swimming pool with vertical ends and sides. The length measured at the water line is 50 ft. And the breadth is 20 ft. The bottom of the swimming pool is a plane sloping gradually downward so that the depth of the water at one end is 4 ft. And at the other end is 8 ft.

The volume of the pool is the lengthwise cross sectional area times the width of 20 feet. I have drawn the lengthwise cross section (not to scale) and added a couple of lines.


What do you know about triangles ABC and CED? What is the area of the cross section?


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