Explanation Given: The paper is 22 cm by 28 cm. Cut squares from the corners and fold the sides up to form a container. Let the side of square cut from each corner be x cm Dimension of box, Length, l = 28 − 2 x , Breadth, b = 22 − 2 x , Height, h = x Volume of box, V = l b h V = x ( 28 − 2 x ) ( 22 − 2 x ) Derivative w.r.t x V ' ( x ) = 616 − 200 x + 12 x 2 For maximum or minimum, V ' ( x ) = 0 616 − 200 x + 12 x 2 = 0 x = 4

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ISBN: 9781465208880

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Chapter 4.6, Problem 13PS

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Chapter 4.6, Problem 12PS

Chapter 4.6, Problem 14PS

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Chapter 4 Solutions

Calculus

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The maximum volume of container is 1 liter.

Solution Summary: The author explains that the maximum volume of a container is 1 liter. Cut squares from the corners and fold the sides up.

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Chapter 4 Solutions