A pencil cup with a capacity of 36 in.3 is to be constructed in the shape of a rectangular box with a square base and an open top. If the material for the sides costs 15¢/in.2 and the material for the base costs 40¢/in.2, what should the dimensions of the cup be to minimize the construction cost?
A pencil cup with a capacity of 36 in.3 is to be constructed in the shape of a rectangular box with a square base and an open top. If the material for the sides costs 15¢/in.2 and the material for the base costs 40¢/in.2, what should the dimensions of the cup be to minimize the construction 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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A pencil cup with a capacity of 36 in.3 is to be constructed in the shape of a rectangular box with a square base and an open top. If the material for the sides costs 15¢/in.2 and the material for the base costs 40¢/in.2, what should the dimensions of the cup be to minimize the construction cost?
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