A rectangular tank with a square base, an open top, and a volume of 6912 ft^2 is to be constructed of sheet steel. Find the dimensions of the tank that has the minimum surface area. Let s be the length of one of the sides of the square base and let A be the surface area of the tank. Write the objective function. A= _____ (type an expression) The tank with the minimum surface area has a height of ___ ft and a square base with a sidelength of ___ 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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A rectangular tank with a square base, an open top, and a volume of 6912 ft^2 is to be constructed of sheet steel. Find the dimensions of the tank that has the minimum surface area.

Let s be the length of one of the sides of the square base and let A be the surface area of the tank. Write the objective function.

A= _____ (type an expression)

The tank with the minimum surface area has a height of ___ ft and a square base with a sidelength of ___ ft.

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