A shipping company must design a closed rectangular shipping crate with a square base. The volume is 36864 ft³. The material for the top and sides costs $3 per square foot and the material for the bottom costs $13 per square foot. Find the dimensions of the crate that will minimize the total cost of material.

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
Section9.1: Prisms, Area And Volume
Problem 37E: Zaidah plans a raised flower bed 2 ft high by 12 ft wide by 15 ft long. The mulch, soil, and peat...
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A shipping company must design a closed rectangular shipping crate with a square base. The volume is 36864 ft³. The material for the top and sides costs $3
square foot and the material for the bottom costs $13 per square foot. Find the dimensions of the crate that will minimize the total cost of material.
per
E Key
Answer
Keyboard Shor
ft by
ft by
ft
Transcribed Image Text:A shipping company must design a closed rectangular shipping crate with a square base. The volume is 36864 ft³. The material for the top and sides costs $3 square foot and the material for the bottom costs $13 per square foot. Find the dimensions of the crate that will minimize the total cost of material. per E Key Answer Keyboard Shor ft by ft by ft
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