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.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
icon
Related questions
Question
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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 4 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning