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
Related questions
Question
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcda6e49b-c051-4a76-a5c7-6728a60e798b%2Fb29692e5-91e2-49ee-93aa-bbdf6f0e76d2%2F5ukd7qp_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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.
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