A rectangular tank with a square base, an open top, and a volume of 16,384 ft° is to be constructed of sheet steel. Find the dimensions of the tank that has the minimum surface area.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 25E
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A =
(Type an expression.)
The interval of interest of the objective function is
(Simplify your answer. Type your answer in interval notation.)
The tank with the minimum surface area has a height of
and a square base with a sidelength of
Transcribed Image Text:A = (Type an expression.) The interval of interest of the objective function is (Simplify your answer. Type your answer in interval notation.) The tank with the minimum surface area has a height of and a square base with a sidelength of
A rectangular tank with a square base, an open top, and a volume of 16,384 ft° is to be constructed of sheet steel. Find the dimensions of the tank that has the
minimum surface area.
Transcribed Image Text:A rectangular tank with a square base, an open top, and a volume of 16,384 ft° is to be constructed of sheet steel. Find the dimensions of the tank that has the minimum surface area.
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