A long metal sheet with a width of L meters is formed into a gutter by bending up two of its sides so that the cross-section of the gutter is an isosceles trapezoid. Find the maximum volume of the qutter

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.CR: Review Exercises
Problem 6CR: The base of a right prism is a regular hexagon whose sides are 8cm in length. The height of the...
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1. A long metal sheet with a width of L meters is formed into a gutter by bending up two of
its sides so that the cross-section of the gutter is an isosceles trapezoid. Find the
maximum volume of the gutter.
Transcribed Image Text:1. A long metal sheet with a width of L meters is formed into a gutter by bending up two of its sides so that the cross-section of the gutter is an isosceles trapezoid. Find the maximum volume of the gutter.
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