An open-top box is to be made from a 12-inch by 18-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

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter63: Volumes Of Pyramids And Cones
Section: Chapter Questions
Problem 28A: Find the volume of the frustum of a right circular cone with a 155.68-centimeter radius base and a...
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An open-top box is to be made from a 12-inch by 18-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:An open-top box is to be made from a 12-inch by 18-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 ontent attribution IS MacBook Pro Ne Show
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