A box is to be made out of a piece of cardboard 6 meters by 16 meters. Squares of equal size will be cut out of each corner, and then the ends and sides will be folded up to form a box with an open top. Find the length, width and height of the resulting box that maximizes the volume. (Assume that the width is less than the length). Length of the box = Width of the box = Height of the box = meters. meters. meters.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter4: Polynomials
Section4.9: Area Problems
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A box is to be made out of a piece of cardboard 6 meters by 16 meters. Squares of equal
size will be cut out of each corner, and then the ends and sides will be folded up to form a box
with an open top.
Find the length, width and height of the resulting box that maximizes the volume. (Assume that
the width is less than the length).
Length of the box =
Width of the box =
Height of the box =
meters.
meters.
meters.
Transcribed Image Text:A box is to be made out of a piece of cardboard 6 meters by 16 meters. Squares of equal size will be cut out of each corner, and then the ends and sides will be folded up to form a box with an open top. Find the length, width and height of the resulting box that maximizes the volume. (Assume that the width is less than the length). Length of the box = Width of the box = Height of the box = meters. meters. meters.
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