A 114-inch by 304-inch piece of cardboard is used to make an open-top container by removing a square from each corner of the cardboard and folding up the flaps on each side. What is the area of the square that should be cut from each corner to get a container with the maximum volume? Give your answer as a simplified fraction or a decimal rounded to four places. Provide your answer below: square 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 25A
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A 114-inch by 304-inch piece of cardboard is used to make an open-top container by removing a square from each corner
of the cardboard and folding up the flaps on each side. What is the area of the square that should be cut from each corner
to get a container with the maximum volume? Give your answer as a simplified fraction or a decimal rounded to four places.
Provide your answer below:
square inches
Transcribed Image Text:A 114-inch by 304-inch piece of cardboard is used to make an open-top container by removing a square from each corner of the cardboard and folding up the flaps on each side. What is the area of the square that should be cut from each corner to get a container with the maximum volume? Give your answer as a simplified fraction or a decimal rounded to four places. Provide your answer below: square inches
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