College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 2, Functions - Focus on Modeling - Modeling with Functions - Problems - Page 276: 11

Answer

$2(x^2+120/x)$, $x\gt 0$

Work Step by Step

We know that the volume is $60$. Thus, $V=x^2h=60$ and hence $h=60/x^2$ We plug this value into the surface area formula to get: $S(x)=2(x^2+xh+xh)=2(x^2+2xh)=2(x^2+2x(60/x^2))=2(x^2+120/x)$ where, $x\gt 0$
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