A sheet of paper 82 cm-by-84 cm is made into an open box (i.e. there's no top), by cutting x-cm squares out of each corner and folding up the sides. Find the value of x that maximizes the volume of the box. Give your answer in the simplified radical form. x= is the max.

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
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Calculus 1, optimization

A sheet of paper 82 cm-by-84 cm is made into an open box (i.e. there's no top), by cutting x-cm squares
out of each corner and folding up the sides. Find the value of x that maximizes the volume of the box.
Give your answer in the simplified radical form.
x =
is the max.
Transcribed Image Text:A sheet of paper 82 cm-by-84 cm is made into an open box (i.e. there's no top), by cutting x-cm squares out of each corner and folding up the sides. Find the value of x that maximizes the volume of the box. Give your answer in the simplified radical form. x = is the max.
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