Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 3 - Polynomial and Rational Functions - Chapter 3 Test Prep - Review Exercises - Page 401: 71

Answer

$4\ in \times 12\ in \times 15\ in$.

Work Step by Step

Step 1. Use the figure and dimensions given in the exercise, we have the volume as $V=3x^2(x+11)=720$ Step 2. Use synthetic division or graphing to solve the above equation: $x^3+11x^2-240=0$ or $(x-4)(x^2+15x+60)=0$, thus $x=4\ in$ Step 3. The dimensions of the cube are: $4\ in \times 12\ in \times 15\ in$.
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