We need to build a heatable warehouse with a capacity of 2000 cubic meters. Because the building is located in a milieu-valuable area, only a pitched roof building with a 45- degree roof slope is allowed to be built there (see the attached picture), other building shapes aren't permitted. However, the width (a), length (b) and ridge height (c) can be varied. C a J459 b Since the warehouse owner is one of the local leaders of Global Green Turn, it is his firm wish that the warehouse energy (heat) loss should be as small as possible. According to the builder, the building's walls and roof have both exactly the same heat resistance, but there's no heat loss through the floor into the ground at all. Consequently - we have to design a warehouse with a volume of 2000 cubic meters with the smallest possible total area of all walls and roofs. Task: What should be the actual width (a), length (b) and roof ridge height (c) of such a building?
We need to build a heatable warehouse with a capacity of 2000 cubic meters. Because the building is located in a milieu-valuable area, only a pitched roof building with a 45- degree roof slope is allowed to be built there (see the attached picture), other building shapes aren't permitted. However, the width (a), length (b) and ridge height (c) can be varied. C a J459 b Since the warehouse owner is one of the local leaders of Global Green Turn, it is his firm wish that the warehouse energy (heat) loss should be as small as possible. According to the builder, the building's walls and roof have both exactly the same heat resistance, but there's no heat loss through the floor into the ground at all. Consequently - we have to design a warehouse with a volume of 2000 cubic meters with the smallest possible total area of all walls and roofs. Task: What should be the actual width (a), length (b) and roof ridge height (c) of such a building?
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
Related questions
Question
100%
Transcribed Image Text:We need to build a heatable warehouse with a capacity of 2000 cubic meters. Because
the building is located in a milieu-valuable area, only a pitched roof building with a 45-
degree roof slope is allowed to be built there (see the attached picture), other building
shapes aren't permitted. However, the width (a), length (b) and ridge height (c) can be
varied.
a
45°
b
Since the warehouse owner is one of the local leaders of Global Green Turn, it is his
firm wish that the warehouse energy (heat) loss should be as small as possible.
According to the builder, the building's walls and roof have both exactly the same heat
resistance, but there's no heat loss through the floor into the ground at all.
Consequently - we have to design a warehouse with a volume of 2000 cubic meters
with the smallest possible total area of all walls and roofs.
Task:
What should be the actual width (a), length (b) and roof ridge height (c) of such a
building?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 6 steps with 4 images
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning