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Thursday, February 5, 2015

Trapezoid Prism Problems, 5

Category: Solid Geometry

"Published in Vacaville, California, USA"

A trench is 200 ft. long and 12 ft. deep, 8 ft. wide at the top and 4 ft. wide at the bottom. How many cubic yards of earth have been recovered?

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 volume of earth removed from a trench which is the volume of trapezoid prism is



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