A rectangular box, open at the top, has a volume of 256 cubic units. a) What must be the dimensions of this box, such that its total surface area is a minimum?
A rectangular box, open at the top, has a volume of 256 cubic units. a) What must be the dimensions of this box, such that its total surface area is a minimum?
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
Section9.1: Prisms, Area And Volume
Problem 30E: A storage shed is in the shape of a trapezoidal prism. Each trapezoid represents one of its bases....
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Transcribed Image Text:A rectangular box, open at the top, has a volume of 256 cubic units.
a)
What must be the dimensions of this box, such that its total surface area is a minimum?
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Transcribed Image Text:b)
What is the minimum value of the total surface area of the box?
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