A rectangular box with square base and a fixed volume VVis to be made from two types of material. The material for the top and bottom costs tt cents per square inch and the material for the sides costs s cents per square inch. Let the length of the base be x and the height be h. Find x and h (in terms of V, t, s) so that the cost is minimal. x = ________ inches h = ________ inches

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 68E
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A rectangular box with square base and a fixed volume VVis to be made from two types of material. The material for the top and bottom costs tt cents per square inch and the material for the sides costs s cents per square inch. Let the length of the base be x and the height be h. Find x and h (in terms of V, t, s) so that the cost is minimal.

x = ________ inches

h = ________ inches

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