19. Minimizing surface area. Mendoza Soup Company is constructing an open-top, square-based, rectangular metal tank that will have a volume of 32 ft. What dimensions will minimize surface area? What is the minimum surface area?

19. Minimizing surface area. Mendoza Soup Company is constructing an open-top, square-based, rectangular metal tank that will have a volume of 32 ft. What dimensions will minimize surface area? What is 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

Section9.1: Prisms, Area And Volume

Problem 34E: The numerical value of the volume of a cube equals the numerical value of its total surface area....

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Question

19. Minimizing surface area. Mendoza Soup Company is
constructing an open-top, square-based, rectangular
metal tank that will have a volume of 32 ft. What
dimensions will minimize surface area? What is the
minimum surface area?

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