We have a piece of cardboard that is 14 inches by 10 inches and we're going to cut out the corners as shown below and fold up the sides to form a box, also shown below. Determine the height of the box that will give a maximum volume.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Equations, Inequalities, And Mathematical Modeling
Section1.3: Modeling With Linear Equations
Problem 9ECP: A cylindrical container has a volume of 84 cubic inches and a radius of 3 inches. Find the height of...
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We have a piece of cardboard that is 14
inches by 10 inches and we're going to cut
out the corners as shown below and fold up
the sides to form a box, also shown below.
Determine the height of the box that will give
a maximum volume.
Transcribed Image Text:We have a piece of cardboard that is 14 inches by 10 inches and we're going to cut out the corners as shown below and fold up the sides to form a box, also shown below. Determine the height of the box that will give a maximum volume.
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