A closed rectangular box with a volume of 81 cm³ is made from two kinds of materials. The top and bottom are made of material costing 6 $ per square cm and the sides from material costing 2 $ per square cm. Find the dimensions of the box so that the cost of materials is minimized.
A closed rectangular box with a volume of 81 cm³ is made from two kinds of materials. The top and bottom are made of material costing 6 $ per square cm and the sides from material costing 2 $ per square cm. Find the dimensions of the box so that the cost of materials is minimized.
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.CR: Review Exercises
Problem 13CR: One side of a rectangle is 2 cm longer than a second side. If the area is 35cm2, find the dimensions...
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Transcribed Image Text:A closed rectangular box with a volume of 81 cm³ is made from two
kinds of materials. The top and bottom are made of material costing 6 $
per square cm and the sides from material costing 2 $ per square cm.
Find the dimensions of the box so that the cost of materials is
minimized.
Transcribed Image Text:x=2, y=2, z=8
x=2, y=2, z=4
x=1, y=1, z= 4
x=3, y=3, z=6
x=3, y=3, z=9
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