4. A new company is manufacturing boxes to ship their product. If they want to keep costs low, they need to minimize surface area and maximize volume. a) What shape would you recommend they go with for their boxes? b) If the company wants each box to have a volume of 220 cm³, what will the side length be? c) Given the side length you calculated in part b), what will the surface area of each box be?

4. A new company is manufacturing boxes to ship their product. If they want to keep costs low, they need to minimize surface area and maximize volume. a) What shape would you recommend they go with for their boxes? b) If the company wants each box to have a volume of 220 cm³, what will the side length be? c) Given the side length you calculated in part b), what will the surface area of each box be?

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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