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 - Page 412: 31

Answer

e=4 cm

Work Step by Step

V=e$^3$ e$^3$+61=(e+1)$^3$ e$^3$+61=(e$^2$+2e+1)(e+1) e$^3$+61=e$^3$+e$^2$+2e$^2$+2e+e+1 3e$^2$+3e-60=0 e$^2$+e-20=0 (e+5)(e-4)=0 e=4
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