Explanation Given: A = 15 and B = 24 Calculation: Let, h be height of the cutting square. The dimensions A and B will become ( A − 2 h ) and ( B − 2 h ) respectively. Now the volume of the box is given by V ( h ) = h ( A − 2 h ) × ( B − 2 h ) = 4 h 3 − 2 ( A + B ) h 2 + A B h Now, substituting the values of A and B , we get V

4th Edition

ISBN: 9781319323394

Author: Rogawski

Publisher: MAC HIGHER

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Chapter 4.6, Problem 58E

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To find the value of h that maximizes the volume of the given box.

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Chapter 4.6, Problem 57E

Chapter 4.6, Problem 59E

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Chapter 4 Solutions

CALCULUS W/SAPLING ACCESS >IC<

Ch. 4.1 - Prob. 1PQ Ch. 4.1 - Prob. 2PQ Ch. 4.1 - Prob. 3PQ Ch. 4.1 - Prob. 4PQ Ch. 4.1 - Prob. 1E Ch. 4.1 - Prob. 2E Ch. 4.1 - Prob. 3E Ch. 4.1 - Prob. 4E Ch. 4.1 - Prob. 5E Ch. 4.1 - Prob. 6E

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To find the value of h that maximizes the volume of the given box.

Solution Summary: The author analyzes how the value of h maximizes the volume of the given box.

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To find the value of h that maximizes the volume of the given box.

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Chapter 4 Solutions