Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 6 Rational Exponents and Radical Functions - Cumulative Review Chapters 1-6 - Page 475: 58



Work Step by Step

Let $x$ be the length of the side of the base. Then our equation for the volume is: $x\cdot x(x+3)=200\\x^3+3x^2-200=0\\(x-5)(x^2+8x+40)=0$ The quadratic polynomial has a positive discriminant; thus it cannot be $0$, and $x-5=0\\x=5$. Thus the dimensions are: $5,5,8$.
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