A 100 inch strip of sheet metal starting out 16 inches wide is to be made into a small open trough (open top and ends) by turning up two sides at right angles to the base. The sides will be the same height, x. If the trough is to have maximum volume, how many inches should be turned up on each side?

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter59: Areas Of Rectangles, Parallelograms, And Trapezoids
Section: Chapter Questions
Problem 79A
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A 100 inch strip of sheet metal starting out 16 inches wide is to be made into a small open
trough (open top and ends) by turning up two sides at right angles to the base. The sides
will be the same height, x. If the trough is to have maximum volume, how many inches
should be turned up on each side?

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