4. A rectangular open-topped box of height h with a square base of side b has a volume of 4 ft. Two of the side faces are made of material costing $40 per square foot. The remaining sides and the bottom cost $20 per square foot. Which values of b and h minimize the cost of the box?

4. A rectangular open-topped box of height h with a square base of side b has a volume of 4 ft. Two of the side faces are made of material costing $40 per square foot. The remaining sides and the bottom cost $20 per square foot. Which values of b and h minimize the cost of the box?

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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4. A rectangular open-topped box of height h with a square base of side b has a volume of
4 ft°. Two of the side faces are made of material costing $40 per square foot. The
remaining sides and the bottom cost $20 per square foot. Which values of b and h
minimize the cost of the box?

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