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
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 the box. Please show your answers to at least 4 decimal places.
- Width: [ ] cm
- Height: [ ] cm](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4502ad76-029d-4512-814c-251a152b6281%2Fac43eeb4-60ec-4b4a-af67-a1c9820e7264%2F60gwrtc_processed.png&w=3840&q=75)
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 the box. Please show your answers to at least 4 decimal places.
- Width: [ ] cm
- Height: [ ] cm
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