Emily is making a closed rectangular box with a square base from two different woods. The wood for the top and bottom costs $16 per square metre, and the wood for the sides costs $8 per square metre. If the square base must have a side length between 0.25m and 1m, what are the dimensions of the box that will minimize the cost of wood for a volume of 0.25 cubic metres?
Emily is making a closed rectangular box with a square base from two different woods. The wood for the top and bottom costs $16 per square metre, and the wood for the sides costs $8 per square metre. If the square base must have a side length between 0.25m and 1m, what are the dimensions of the box that will minimize the cost of wood for a volume of 0.25 cubic metres?
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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Transcribed Image Text:3. Emily is making a closed rectangular box with a square base from two different
woods. The wood for the top and bottom costs $16 per square metre, and the wood
for the sides costs $8 per square metre. If the square base must have a side length
between 0.25m and 1m, what are the dimensions of the box that will minimize the
cost of wood for a volume of 0.25 cubic metres?
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