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Wednesday, February 18, 2015

Square Prism Problems, 2

Category: Solid Geometry

"Published in Vacaville, California, USA"

What are the dimensions of a gallon can of uniform square cross section whose height is twice the length of an edge of its base? (One gallon = 231 cu. in.)

Solution:

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

Photo by Math Principles in Everyday Life

The volume of a square gallon can in cubic inches is



The length of the base of a square gallon can is







The height of a square gallon can is






Therefore, the dimensions of a square gallon can are 4.869982 in. by 4.869982 in. by 9.739964 in.