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| Math Central | Quandaries & Queries |
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Question from Kayla, a student: how much water is in a pool which is 10m x 5m and is 1.5m to 2.5m in depth? |
Kayla,
I assumed that was a gradual slope in the depth from 1.5 m to 2.5 m and drew a diagram.
The volume os the area of the crosssection times the width of 5 m. The crosssection is a trapezoid and the area of a trapezoid is the average of the lengths of the parallel sides times th distance between the parallel sides. The length of the parallel sides are 1.5 m and 2.5 m so the average is (1.5 + 2.5)/2 m and the diatance between the parallel sides in 10 m.
I hope this hepps,
Penny
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