An open-top rectangular box is being constructed to hold a volume of 150 in³. The base of the box is made from a material costing 8 cents/in². The front of the box must be decorated, and will cost 10 cents/in². The remainder of the sides will cost 3 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: 4.5194 Depth: Height: ☑ in. in. in.

An open-top rectangular box is being constructed to hold a volume of 150 in³. The base of the box is made from a material costing 8 cents/in². The front of the box must be decorated, and will cost 10 cents/in². The remainder of the sides will cost 3 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: 4.5194 Depth: Height: ☑ in. in. in.

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter63: Volumes Of Pyramids And Cones

Section: Chapter Questions

Problem 25A

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