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?

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.4: Polyhedrons And Spheres

Problem 23E: The surface of a soccer ball is composed of 12 regular pentagons and 20 regular hexagons. With each...

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