A piece of cardboard measuring 11 inches by 13 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 (x) = 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 11 inches by 13 inches
is formed into an open-top box by cutting squares with
side length from each corner and folding up the
sides.
Find a formula for the volume of the box in terms of x
V(x) =
Find the value for x that will maximize the volume of
the box
= x
Transcribed Image Text:A piece of cardboard measuring 11 inches by 13 inches is formed into an open-top box by cutting squares with side length from each corner and folding up the sides. Find a formula for the volume of the box in terms of x V(x) = Find the value for x that will maximize the volume of the box = x
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