A cardboard box in the shape of a rectangular prism without a lid is to have a volume of 62,500 cm3. Find the dimensions that minimize the amount of cardboard used.

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 34E: The farmer in Exercise 33 has decided to take the fencing purchased and use it to enclose the...
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A cardboard box in the shape of a rectangular prism without a lid is to have a volume of 62,500 cm3. Find the dimensions that minimize the amount of cardboard used. 

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