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You need to construct an open-top rectangular box with a square base that must hold a volume of exactly 275 cm³. The material for the base of the box costs 5 cents/cm² and the material for the sides of the box costs 5 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 275 cm³. The material for the base of the box costs 5 cents/cm² and the material for the sides of the box costs 5 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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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You need to construct an open-top rectangular box with a square base that must hold a volume of exactly 275 cm³. The material for the base of the box costs 5 cents/cm² and the material for the sides of the box costs 5 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 275 cm³. The material for the base of the box costs 5 cents/cm² and the material for the sides of the box costs 5 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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