Elementary Geometry for College Students (5th Edition)

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

Chapter 9 - Section 9.2 - Pyramids, Area, and Volume - Exercises - Page 422: 26

Answer

V$\approx$288.7 in$^3$

Work Step by Step

200=.5(4)(x)(x) 200=2x$^2$ 100=x$^2$ x=10 h$^2$=x$^2$-(.5x)$^2$ h$^2$=75 h=$\sqrt 75$ h=5$\sqrt 3$ V=$\frac{1}{3}$Bh V=$\frac{1}{3}$(100)(5$\sqrt 3$) V=$\frac{500\sqrt 3}{3}$ V$\approx$288.7 in$^3$
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