17. ) A rectangular box, with a square top and bottom, is to be constructed so that its volume is 60 cubic feet. The cost per square foot for the bottom is 12 cents, and for the sides is 10 cents. Find the dimensions that will minimize the cost of the box, to the nearest hundredth of a foot.

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
Section9.1: Prisms, Area And Volume
Problem 27E: The box with dimensions indicated is to be constructed of materials that cost 1 cent per square inch...
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17.
) A rectangular box, with a square top and bottom, is to be constructed so that its volume is 60
cubic feet. The cost per square foot for the bottom is 12 cents, and for the sides is 10 cents. Find the
dimensions that will minimize the cost of the box, to the nearest hundredth of a foot.
Transcribed Image Text:17. ) A rectangular box, with a square top and bottom, is to be constructed so that its volume is 60 cubic feet. The cost per square foot for the bottom is 12 cents, and for the sides is 10 cents. Find the dimensions that will minimize the cost of the box, to the nearest hundredth of a foot.
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