Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 1 - Section 1.10 - Modeling with Functions - Exercise Set - Page 295: 55


The expression for the volume of the box V made by cutting the squares from each corner of the square cardboard having sides equal to $24\text{ inches}$ is $V\left( x \right)=576x+4{{x}^{3}}-96{{x}^{2}}$. The maximum volume is 1024 cubic inch and the length of the side of the square that should be cut from each corner is 4 inches.

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