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A box with an open top is to be constructed out of a rectangular piece of cardboard with dimensions length=9 ft and width=10 ft by cutting a square piece out of each corner and turning the sides up as shown in the picture. Determine the length x of each side of the square that should be cut which would maximize the volume of the box.

A box with an open top is to be constructed out of a rectangular piece of cardboard with dimensions length=9 ft and width=10 ft by cutting a square piece out of each corner and turning the sides up as shown in the picture. Determine the length x of each side of the square that should be cut which would maximize the volume of the box.

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.4: Graphing Polynomial Functions
Problem 43PS
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A box with an open top is to be constructed out of a rectangular piece of cardboard with dimensions length=9 ft and width=10 ft by cutting a square piece out of each corner and turning the sides up as shown in the picture. X Determine the length x of each side of the square that should be cut which would maximize the volume of the box.
Transcribed Image Text:A box with an open top is to be constructed out of a rectangular piece of cardboard with dimensions length=9 ft and width=10 ft by cutting a square piece out of each corner and turning the sides up as shown in the picture. X Determine the length x of each side of the square that should be cut which would maximize the volume of the box.
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