5. A trough with trapezoidal cross-section is to be made from a 1,000 cm by 40 cm rectangular sheet of metal by turning up one-fourth of the 40-cm side. The trough is placed along the eaves of a roof to catch rainwater. Find the maximum possible capacity that can be built from the given material. Express your answer in m.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.4: Polyhedrons And Spheres
Problem 28E: Given that a regular polyhedron of n faces is inscribed in a sphere of radius length 6 in., find the...
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5. A trough with trapezoidal cross-section is to be made from a 1,000 cm by 40 cm
rectangular sheet of metal by turning up one-fourth of the 40-cm side. The trough is
placed along the eaves of a roof to catch rainwater. Find the maximum possible capacity
that can be built from the given material. Express your answer in m.
Transcribed Image Text:5. A trough with trapezoidal cross-section is to be made from a 1,000 cm by 40 cm rectangular sheet of metal by turning up one-fourth of the 40-cm side. The trough is placed along the eaves of a roof to catch rainwater. Find the maximum possible capacity that can be built from the given material. Express your answer in m.
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