A rectangular box is to have a square base and a volume of 12 ft3. If the material for the base costs $0.16/ft2, the material for the sides costs $0.10/ft2, and the material for the top costs $0.14/ft2, determine the dimensions (in ft) of the box that can be constructed at minimum cost.
A rectangular box is to have a square base and a volume of 12 ft3. If the material for the base costs $0.16/ft2, the material for the sides costs $0.10/ft2, and the material for the top costs $0.14/ft2, determine the dimensions (in ft) of the box that can be constructed at 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.
Chapter8: Areas Of Polygons And Circles
Section8.2: Perimeter And Area Of Polygons
Problem 31E: Mary Frances has a rectangular garden plot that encloses an area of 48 yd2. If 28 yd of fencing are...
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Minimizing Packaging Costs
A rectangular box is to have a square base and a volume of 12 ft3. If the material for the base costs $0.16/ft2, the material for the sides costs $0.10/ft2, and the material for the top costs $0.14/ft2, determine the dimensions (in ft) of the box that can be constructed at minimum cost.
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A rectangular box is to have a square base and a volume of 63 ft3. If the material for the base costs $0.40/ft2, the material for the sides costs $0.12/ft2, and the material for the top costs $0.16/ft2, determine the dimensions (in ft) of the box that can be constructed at minimum cost.
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