An open-top box is to be made from a 12-inch by 42-inch piece of plastic by removing a square from each corner of the plastic and folding up the flaps on each side. What should be the length of the side x of the square cut out of each corner to get a box with the maximum volume? You may enter an exact answer or round to the nearest hundredth.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter62: Volumes Of Prisms And Cylinders
Section: Chapter Questions
Problem 57A: A rectangular aluminum plate required for a job is 4 feet 0 inches wide and 5 feet 0 inches long....
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An open-top box is to be made from a 12-inch by 42-inch piece of plastic by removing a square from each corner of the
plastic and folding up the flaps on each side. What should be the length of the side x of the square cut out of each corner to
get a box with the maximum volume? You may enter an exact answer or round to the nearest hundredth.
Provide your answer below:
X =
inches
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Transcribed Image Text:Question An open-top box is to be made from a 12-inch by 42-inch piece of plastic by removing a square from each corner of the plastic and folding up the flaps on each side. What should be the length of the side x of the square cut out of each corner to get a box with the maximum volume? You may enter an exact answer or round to the nearest hundredth. Provide your answer below: X = inches FEEDBACK MORE INSTRUCTION SUBMIT Content attribution ) % 5 G Search or type URL & 7 T G MacBook Pro B Y H N U C ☆ * 00 M I K ( 9 O A O L P A + 11 { B ?
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