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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?

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter3: Straight Lines And Linear Functions
Section3.1: The Geometry Of Lines
Problem 1TU: Suppose that the peak of the roof occurs 20 rather than 14 horizontal feet toward the interior of...
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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?
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?
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