11. The volume of a square- based rectangular cardboard box needs to be 1000 cm³. Determine the dimensions that require the minimum amount of material to manufacture all six faces. Assume that there will be no waste material. The machinery available cannot fabricate material smaller than 2 cm in length.

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
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Chapter9: Surfaces And Solids
Section9.4: Polyhedrons And Spheres
Problem 23E: The surface of a soccer ball is composed of 12 regular pentagons and 20 regular hexagons. With each...
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11. The volume of a square- based rectangular cardboard box needs to be 1000 cm³.
Determine the dimensions that require the minimum amount of material to manufacture
all six faces. Assume that there will be no waste material. The machinery available
cannot fabricate material smaller than 2 cm in length.
Transcribed Image Text:11. The volume of a square- based rectangular cardboard box needs to be 1000 cm³. Determine the dimensions that require the minimum amount of material to manufacture all six faces. Assume that there will be no waste material. The machinery available cannot fabricate material smaller than 2 cm in length.
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