A certain airline requires that rectangular packages carried on an airplane by passengers be such that the sum of the three dimensions is at most 135 centimeters. Find the dimensions of the square-ended rectangular package of greatest volume that meets this requirement. The length of the square-end edge is cm. The package length is cm.

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 37E: Examine several rectangles, each with a perimeter of 40 in., and find the dimensions of the...
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A certain airline requires that rectangular packages carried on an airplane by passengers be such that the sum of the three
dimensions is at most 135 centimeters. Find the dimensions of the square-ended rectangular package of greatest volume that
meets this requirement.
The length of the square-end edge is
cm.
The package length is
cm.
Transcribed Image Text:A certain airline requires that rectangular packages carried on an airplane by passengers be such that the sum of the three dimensions is at most 135 centimeters. Find the dimensions of the square-ended rectangular package of greatest volume that meets this requirement. The length of the square-end edge is cm. The package length is cm.
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