Math CentralQuandaries & Queries


Subject: cubic feet
Name: Steve
Who are you: Parent

how do we measure the cubic feet of a pool.

The pool is 50 feet long by 40 feet wide by 4 feet at the shallow end
and 9 feet at the deep end. Thank you

Hi Steve,

I drew a cross section of the pool assuming that there is a constant slope from 4 ft to 9 ft deep. The volume of the pool is the area of this cross section time the width of 40 ft.


I drew a line on the diagram to divide it into a rectangle of length 50 ft and height 4 ft and a triangle with base 50 ft and height 9 - 4 = 5 ft. The area of the cross section is then the sum of the areas of the rectangle and the triangle.


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