A manufacturer wants to design a rectangular box with a square base and an open top. (In other words, the base of the box is a square, but the other four sides of the box are rectangles that are not necessarily squares. The box has no top). If the box has a surface area of 192 ??2, what is the maximum possible volume of the box? (Make sure to verify that your solution is indeed a maximum instead of a minimum)

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.CT: Test
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A manufacturer wants to design a rectangular box with a square base and an open top. (In other words, the base of the box is a square, but the other four sides of the box are rectangles that are not necessarily squares. The box has no top). If the box has a surface area of 192 ??2, what is the maximum possible volume of the box? (Make sure to verify that your solution is indeed a maximum instead of a minimum)

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