A candy box is to be made out of a piece of cardboard that measures 8 by 12 inches. Squares of equal size will be cut out of each corner, and then the ends and sides will be folded up to form a rectangular box. What size square should be cut from each corner to obtain a maximum volume? What is the maximum volume? Answer: The size of the square should be cut from each corner to obtain a maximum volume is         (3 de3cimal places) inches, and the maximun volumen (1 decimal place) is            cubic inches.

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
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A candy box is to be made out of a piece of cardboard that measures 8 by 12 inches. Squares of equal size will be cut out of each corner, and then the ends and sides will be folded up to form a rectangular box. What size square should be cut from each corner to obtain a maximum volume? What is the maximum volume?

Answer: The size of the square should be cut from each corner to obtain a maximum volume is         (3 de3cimal places) inches, and the maximun volumen (1 decimal place) is            cubic inches.

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