An open box is to be made out of a 10-inch by 14-inch piece of cardboard by cutting out squares of equal size from the four corners and bending up the sides. Find the dimensions of the resulting box that has the largest volume. w in Do L in w-2x in Dimensions of the bottom of the box: Height of the box: X X L-2x in

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
Chapter5: Factoring Polynomials
Section5.13: Using Factoring To Solve Problems
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An open box is to be made out of a 10-inch by 14-inch piece of cardboard by cutting out squares of equal size from
the four corners and bending up the sides. Find the dimensions of the resulting box that has the largest volume.
w in-
L in
w - 2x in
Dimensions of the bottom of the box:
Height of the box:
X
X
L-2x in
Transcribed Image Text:An open box is to be made out of a 10-inch by 14-inch piece of cardboard by cutting out squares of equal size from the four corners and bending up the sides. Find the dimensions of the resulting box that has the largest volume. w in- L in w - 2x in Dimensions of the bottom of the box: Height of the box: X X L-2x in
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