Elementary Geometry for College Students (7th Edition)

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 9 - Section 9.2 - Pyramids, Area, and Volume - Exercises - Page 418: 33

Answer

23

Work Step by Step

We call the length of a side s, which is equal to the height as well. Using the equation for volume, we obtain: $ V = (1/3)(1/2)(s)(6s)(s) \\ 11792 = (1/3)(1/2)(s)(6s)(s) \\ s^3 = 11972 \\ s \approx 23 $
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