A box with an open top and a square base is to have a volume of 12 ft³.. (a) Find a function S that models the surface area of the box. (Assume x is the side of the base.) S(x)= (b) Use a graphing calculator to find the box dimensions that minimize the amount of material used. (Round your answers to two decim width length height ft ft ft

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
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A box with an open top and a square base is to have a volume of 12 ft³.
(a) Find a function S that models the surface area of the box. (Assume x is the side of the base.)
S(x) =
(b) Use a graphing calculator to find the box dimensions that minimize the amount of material used. (Round your answers to two decimal plac
width
length
height
ft
ft
ft
Transcribed Image Text:A box with an open top and a square base is to have a volume of 12 ft³. (a) Find a function S that models the surface area of the box. (Assume x is the side of the base.) S(x) = (b) Use a graphing calculator to find the box dimensions that minimize the amount of material used. (Round your answers to two decimal plac width length height ft ft ft
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