7. An open rectangular box having a volume of 9 m is to be constructed from a tin sheet. a) Show that the amount of material used is 18 A = xy + 18 given by: y b) Determine the dimensions of such a box if the amount of material used is to be minimal. answer: b) 2.62 m x2.62m x1.31m

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 38CR: Prove that if semicircles are constructed on each of the sides of a right triangle, then the area of...
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7.
An open rectangular box having a volume of 9 m3 is to be constructed from a tin sheet.
y
a) Show that the amount of material used is
A = xy +
18. 18
+
given by:
y
b) Determine the dimensions of such a box if the amount of material used is to be
minimal.
answer: b) 2.62 m x2.62m ×1.31m
Transcribed Image Text:7. An open rectangular box having a volume of 9 m3 is to be constructed from a tin sheet. y a) Show that the amount of material used is A = xy + 18. 18 + given by: y b) Determine the dimensions of such a box if the amount of material used is to be minimal. answer: b) 2.62 m x2.62m ×1.31m
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