An open box with a square base is to have a volume of 12 ft3. (a) Find a function that models the surface area A of the box in terms of the length of one side of the base x. A(x) =        (b) Find the box dimensions that minimize the amount of material used. (Round your answers to two decimal places.) side length       ft height       ft

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Rational Functions And Conics
Section4.2: Graphs Of Rational Functions
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An open box with a square base is to have a volume of 12 ft3.

(a) Find a function that models the surface area A of the box in terms of the length of one side of the base x.
A(x) = 
 
 
 


(b) Find the box dimensions that minimize the amount of material used. (Round your answers to two decimal places.)
side length       ft
height       ft
 
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