A box (with no top) will be made by cutting squares of equal size out of the corners of a 21 inch by 59 inch rectangular piece of cardboard, then folding the side flaps up. Find the maximum volume of such a box. ROUND TO THE NEAREST CUBIC INCH. The maximum volume is cubic 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 box (with no top) will be made by cutting squares of equal size out
of the corners of a 21 inch by 59 inch rectangular piece of cardboard,
then folding the side flaps up. Find the maximum volume of such a box.
ROUND TO THE NEAREST CUBIC INCH.
The maximum volume is cubic inches.
Transcribed Image Text:A box (with no top) will be made by cutting squares of equal size out of the corners of a 21 inch by 59 inch rectangular piece of cardboard, then folding the side flaps up. Find the maximum volume of such a box. ROUND TO THE NEAREST CUBIC INCH. The maximum volume is cubic inches.
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