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Sunday, August 10, 2014

Polygon Prism Problems, 3

Category: Solid Geometry

"Published in Vacaville, California, USA"

One part of a quartz crystal is a hexagonal prism with a right section of 1.29 sq. in., an edge of 2.31 in., and a base of 1.41 sq. in. Find the altitude of the prism.

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 quartz crystal is




Therefore, the altitude of a quartz crystal is