A Box with a Square base and an open Top must have a volume of 500 cm'. Find the dimensions of the Box that minimizes the amount of material used to construct it.

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
Section9.1: Prisms, Area And Volume
Problem 27E: The box with dimensions indicated is to be constructed of materials that cost 1 cent per square inch...
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A Box with a Square base and an open Top must have a volume of 500 cm'.
Find the dimensions of the Box that minimizes the amount of material used to construct
it.
Transcribed Image Text:A Box with a Square base and an open Top must have a volume of 500 cm'. Find the dimensions of the Box that minimizes the amount of material used to construct it.
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