A piece of cardboard measuring 14 inches by 12 inches is formed into an open-top box by cutting squares with side length x from each corner and folding up the sides. Find a formula for the volume of the box in terms of x V(z) = Find the value for x that will maximize the volume of the box

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.4: Graphing Polynomial Functions
Problem 43PS
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A piece of cardboard measuring 14 inches by 12 inches is formed into an open-top box by cutting squares
with side length x from each corner and folding up the sides.
Find a formula for the volume of the box in terms of x
V(z) =
Find the value for x that will maximize the volume of the box
Transcribed Image Text:A piece of cardboard measuring 14 inches by 12 inches is formed into an open-top box by cutting squares with side length x from each corner and folding up the sides. Find a formula for the volume of the box in terms of x V(z) = Find the value for x that will maximize the volume of the box
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