Elementary Geometry for College Students (5th Edition)

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

Chapter 11 - Section 11.3 - The Tangent Ratio and Other Ratios - Exercises: 47b

Answer

$110.4$

Work Step by Step

Recall, in part a we found: $tan72^{\circ}=\frac{h}{3} \\ h = 3tan72^{\circ} =9.2 $ Thus, we find the volume of the pyramaid, which is equal to: $V=(1/3)(A_{base})(h) = (1/3)(9.2)(6^2) = (1/3)(9.2)(36) = 110.4$
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