Answer
The dimensions are $8,10,13$ inches
Work Step by Step
The volume
$V=x(x+2)(2x-3)=1040\\\Leftrightarrow 2x^3+x^2-6x=1040\\\Leftrightarrow (x-8)(2x^2+17x+130)=0\\ \rightarrow x=8 \lor x=10 \lor x=13$
The dimensions are $8,10,13$ inches.
Algebra 2 (1st Edition)
by Larson, Ron; Boswell, Laurie; Kanold, Timothy D.; Stiff, Lee
Published by
McDougal Littell
ISBN 10:
0618595414
ISBN 13:
978-0-61859-541-9
Chapter 5 Polynomials and Polynomial Functions - Chapter Test - Page 407: 29
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