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

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter14: Powers
Section: Chapter Questions
Problem 55A
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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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