An open-top rectangular box is being constructed to hold a volume of 200 in³. The base of the box is made from a material costing 5 cents/in². The front of the box must be decorated, and will cost 11 cents/in². The remainder of the sides will cost 2 cents/in². Find the dimensions that will minimize the cost of constructing this box. Please show your answers to at least 4 decimal places. Front width: Depth: Height: in. in. in.

An open-top rectangular box is being constructed to hold a volume of 200 in³. The base of the box is made from a material costing 5 cents/in². The front of the box must be decorated, and will cost 11 cents/in². The remainder of the sides will cost 2 cents/in². Find the dimensions that will minimize the cost of constructing this box. Please show your answers to at least 4 decimal places. Front width: Depth: Height: in. in. in.

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 14E: A cylindrical orange juice container has metal bases of radius length 1 in. and a cardboard lateral...

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