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6. (edited) Paper Packaging and Artwork Philippines, a paper manufacturing company, makes open-topped rectangular boxes as follows. First, they cut out a large rectangular sheet of cardboard. Then, from the corners of that rectangular sheet, they cut out small squares, and fold up the sides of the resulting shape. The company wishes to make a rectangular box of volume 2000 cm³ with a square base. What dimensions will minimize the amount of cardboard used in the production of the box, i.e., the area of the sheet from which the box is cut?

6. (edited) Paper Packaging and Artwork Philippines, a paper manufacturing company, makes open-topped rectangular boxes as follows. First, they cut out a large rectangular sheet of cardboard. Then, from the corners of that rectangular sheet, they cut out small squares, and fold up the sides of the resulting shape. The company wishes to make a rectangular box of volume 2000 cm³ with a square base. What dimensions will minimize the amount of cardboard used in the production of the box, i.e., the area of the sheet from which the box is cut?

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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6. (edited) Paper Packaging and Artwork Philippines, a paper manufacturing company, makes open-topped rectangular boxes as follows. First, they cut out a large rectangular sheet of cardboard. Then, from the corners of that rectangular sheet, they cut out small squares, and fold up the sides of the resulting shape. The company wishes to make a rectangular box of volume 2000 cm° with a square base. What dimensions will minimize the amount of cardboard used in the production of the box, i.e., the area of the sheet from which the box is cut?
Transcribed Image Text:6. (edited) Paper Packaging and Artwork Philippines, a paper manufacturing company, makes open-topped rectangular boxes as follows. First, they cut out a large rectangular sheet of cardboard. Then, from the corners of that rectangular sheet, they cut out small squares, and fold up the sides of the resulting shape. The company wishes to make a rectangular box of volume 2000 cm° with a square base. What dimensions will minimize the amount of cardboard used in the production of the box, i.e., the area of the sheet from which the box is cut?
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