A rectangular box with no top is to be made from a piece of steel that is 80 ft by 128 ft in size. Equal squares are to be cut from each corner and the sides folded to form the box. What is the side length of the squares that are to be cut out of the corners if the box is to have maximum volume? Enter the exact answer or round to the nearest hundredth.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter63: Volumes Of Pyramids And Cones
Section: Chapter Questions
Problem 25A
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A rectangular box with no top is to be made from a piece of steel that is 80 ft by 128 ft in size. Equal squares are to be cut from each corner and
the sides folded to form the box.
What is the side length of the squares that are to be cut out of the corners if the box is to have maximum volume? Enter the exact answer or round
to the nearest hundredth.
Transcribed Image Text:A rectangular box with no top is to be made from a piece of steel that is 80 ft by 128 ft in size. Equal squares are to be cut from each corner and the sides folded to form the box. What is the side length of the squares that are to be cut out of the corners if the box is to have maximum volume? Enter the exact answer or round to the nearest hundredth.
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