A graphing calculator is recommended. An open box with a square base is to have a volume of 14 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. (b) Find the box dimensions that minimize the amount of material used. (Round your answers to two decimal places.)

College Algebra (MindTap Course List)
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Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
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A graphing calculator is recommended.

An open box with a square base is to have a volume of 14 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.
 
(b) Find the box dimensions that minimize the amount of material used. (Round your answers to two decimal places.)
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