Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 9 - Section 9.1 - Prisms, Area, and Volume - Exercises: 15c

Answer

2115.54

Work Step by Step

This figure is a pentagonal prism. The formula for the volume of a prism is base area $\times$ hight. To find the base area you use the formula $\frac{1}{2}$ans where a is the apothem, n is the number of sides, in this case 5, and s is the side length which in this case is 9.2. Once you find the base area of the prism you multiply it by the height 14.6 in this case and you get your answer 2115.54.
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