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A candy box is made from a piece of cardboard that measures 27 by 15 inches. Squares of equal size will be cut out of each corner. The sides will then be folded up to form a rectangular box. What size square should be cut from each corner to obtain maximum volume?

A candy box is made from a piece of cardboard that measures 27 by 15 inches. Squares of equal size will be cut out of each corner. The sides will then be folded up to form a rectangular box. What size square should be cut from each corner to obtain maximum volume?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A candy box is made from a piece of cardboard that measures 27 by 15 inches. Squares of equal size will be cut out of each corner. The sides will then be folded up to form a rectangular box. What size square should be cut from each corner to obtain maximum volume? w A square with a side of length inches should be cut away from each corner to obtain the maximum volume. (Round to the nearest hundredth as needed.)
Transcribed Image Text:A candy box is made from a piece of cardboard that measures 27 by 15 inches. Squares of equal size will be cut out of each corner. The sides will then be folded up to form a rectangular box. What size square should be cut from each corner to obtain maximum volume? w A square with a side of length inches should be cut away from each corner to obtain the maximum volume. (Round to the nearest hundredth as needed.)
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