3. A piece of sheet metal, 100cm by 50cm, is to be used to make a rectangular box with an open top by cutting out a square of side length 'x' from each corner. Use calculus to determine the dimensions (length, width & height) that will give the box the largest volume. Show all

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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3. A piece of sheet metal, 100cm by 50cm, is to be used to make a rectangular box with an open
top by cutting out a square of side length 'x' from each corner. Use calculus to determine
the dimensions (length, width & height) that will give the box the largest volume. Show all
Transcribed Image Text:3. A piece of sheet metal, 100cm by 50cm, is to be used to make a rectangular box with an open top by cutting out a square of side length 'x' from each corner. Use calculus to determine the dimensions (length, width & height) that will give the box the largest volume. Show all
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