A rectangular box with a square base and no top is to be constructed. It must hold 32,000 in3. What are the dimensions of such a box that uses the smallest amount of material (i.e. that has the smallest surface area)?
A rectangular box with a square base and no top is to be constructed. It must hold 32,000 in3. What are the dimensions of such a box that uses the smallest amount of material (i.e. that has the smallest surface area)?
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 38E: Examine several rectangles, each with an area of 36 in2, and find the dimensions of the rectangle...
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A rectangular box with a square base and no top is to be constructed. It must hold 32,000 in3. What are the dimensions of such a box that uses the smallest amount of material (i.e. that has the smallest surface area)?
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