You want to construct a box whose height is twice the base length.  The material used to build the top and bottom cost $40 per square feet and the material used to build the sides cost $30 per square feet.  If the box must have a volume of  216 cubic feet, determine the dimensions that will minimize the cost to build 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
Section9.1: Prisms, Area And Volume
Problem 37E: Zaidah plans a raised flower bed 2 ft high by 12 ft wide by 15 ft long. The mulch, soil, and peat...
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You want to construct a box whose height is twice the base length.  The material used to build the top and bottom cost $40 per square feet and the material used to build the sides cost $30 per square feet.  If the box must have a volume of  216 cubic feet, determine the dimensions that will minimize the cost to build the box.

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