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You need to construct an open-top rectangular box with a square base that must hold a volume of exactly 875 cm³. The material for the base of the box costs 8 cents/cm² and the material for the sides of the box costs 3 cents/cm². Find the dimensions for a box that will minimize the cost of the materials used to construct box. Please show your answers to at least 4 decimal places. width: height: cm cm

You need to construct an open-top rectangular box with a square base that must hold a volume of exactly 875 cm³. The material for the base of the box costs 8 cents/cm² and the material for the sides of the box costs 3 cents/cm². Find the dimensions for a box that will minimize the cost of the materials used to construct box. Please show your answers to at least 4 decimal places. width: height: cm cm

Mathematics For Machine Technology
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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You need to construct an open-top rectangular box with a square base that must hold a volume of exactly 875 cm³. The material for the base of the box costs 8 cents/cm² and the material for the sides of the box costs 3 cents/cm². Find the dimensions for a box that will minimize the cost of the materials used to construct box. Please show your answers to at least 4 decimal places. width: height: cm cm
Transcribed Image Text:You need to construct an open-top rectangular box with a square base that must hold a volume of exactly 875 cm³. The material for the base of the box costs 8 cents/cm² and the material for the sides of the box costs 3 cents/cm². Find the dimensions for a box that will minimize the cost of the materials used to construct box. Please show your answers to at least 4 decimal places. width: height: cm cm
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