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Saturday, February 7, 2015

Trapezoid Prism Problem, 6

Category: Solid Geometry

"Published in Vacaville, California, USA"

A dam is 40 ft. long, 12 ft. high, 7 ft. wide at the bottom, and 4 ft. wide at the top. How many cubic yards of material were used in constructing it?

Solution:

To illustrate the problem, it is better to draw the figure as follows

Photo by Math Principles in Everyday Life

The area of the base which is the area of the cross section of a trapezoid prism is 





Therefore, the amount of material used in constructing  a dam which is the volume of trapezoid prism is



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