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Friday, February 13, 2015

Trapezoid Prism Problems, 7

Category: Solid Geometry

"Published in Newark, California, USA"

A corncrib 20 ft. long has a cross section which is represented in the figure. The crib is entirely filled with corn on the ear. How many bushels of corn does it contain, if 2 bu. of corn on the ear are equal to 1 bu. of shelled corn? (Use the approximation, 1 bu = 1 ¼ cu. ft.)

Photo by Math Principles in Everyday Life

Solution:

Consider the given figure above

Photo by Math Principles in Everyday Life

The given figure above is a cross section of a corncrib which is a shape of right trapezoid. The area of a cross section is





The volume of a corncrib which is a trapezoid prism is




If a corncrib is filled with corn on the ear, the number of bushels of corn on the ear is




Therefore, the number of bushels of corn is