A closed, rectangular-faced box with a square base is to be constructed using only 16 m² of material. What should the height h and base length b of the box be so as to maximize its volume?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.2: Perimeter And Area Of Polygons
Problem 47E
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Answer in Meters + Exact values please

A closed, rectangular-faced box with a square base is to be constructed using only 16 m² of material. What
should the height h and base length b of the box be so as to maximize its volume?
Transcribed Image Text:A closed, rectangular-faced box with a square base is to be constructed using only 16 m² of material. What should the height h and base length b of the box be so as to maximize its volume?
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