You are constructing an open box (no top) with a square base for your best friends birthday. You only have 100 square feet of wrapping paper. Determine the dimensions of the box that maximize its volume. The volume of a rectangular prism with length ` height h, and width w is given by V = ` · h · w.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.CR: Review Exercises
Problem 22CR
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You are constructing an open box (no top) with a square base
for your best friends birthday. You only have 100 square feet
of wrapping paper. Determine the dimensions of the box that
maximize its volume. The volume of a rectangular prism with
length ` height h, and width w is given by V = ` · h · w.

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