A worker is to construct an open rectangular box with a square base and a volume of 128 ft. If material for the bottom costs $4/ft and material for the sides costs $8/ft, what dimensions will result in the least expensive box? What is the minimum cost?

A worker is to construct an open rectangular box with a square base and a volume of 128 ft. If material for the bottom costs $4/ft and material for the sides costs $8/ft, what dimensions will result in the least expensive box? What is the minimum cost?

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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A worker is to construct an open rectangular box with a square base and a volume of 128 ft°. If material for the bottom costs $4/ft and material for the sides costs $8/ft, what dimensions will result in the least
expensive box? What is the minimum cost?
....
x be the length of c
he base of the box.
the total cos
materials, C,
terms of

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