The building on the left side of the picture is called the Cayan Tower. It's in the city of Dubai. The tower is about 306 meters tall. It's made up of identical floors that are each rotated slightly compared to the one underneath it. floor plan 35 m 17 m 57 m Each floor is the same chevron shape that is approximately 2 parallelograms together, with the dimensions shown in the image. The circle in the floor plan shows the cross section of the core, which is used to circulate air and carry pipes and wiring throughout the building. 1. The area of the Cayan Tower's base is 57*35 or 1,995 square meters. Why is it possible to find the area of the chevron shape by just multiplying its width and height? 2. Describe how the total volume of the building (including the core) can be calculated. 3. What shape is the core of the building, whose cross section is shown in the floor plan as a circle? 4. Describe how the volume of the building's core can be calculated, including describing the measurements that would be used. 5. What percentage of the building's volume is taken up by its core?
The building on the left side of the picture is called the Cayan Tower. It's in the city of Dubai. The tower is about 306 meters tall. It's made up of identical floors that are each rotated slightly compared to the one underneath it. floor plan 35 m 17 m 57 m Each floor is the same chevron shape that is approximately 2 parallelograms together, with the dimensions shown in the image. The circle in the floor plan shows the cross section of the core, which is used to circulate air and carry pipes and wiring throughout the building. 1. The area of the Cayan Tower's base is 57*35 or 1,995 square meters. Why is it possible to find the area of the chevron shape by just multiplying its width and height? 2. Describe how the total volume of the building (including the core) can be calculated. 3. What shape is the core of the building, whose cross section is shown in the floor plan as a circle? 4. Describe how the volume of the building's core can be calculated, including describing the measurements that would be used. 5. What percentage of the building's volume is taken up by its core?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:The building on the left side of the picture is called the Cayan Tower. It's in the city of Dubai. The tower is about 306 meters tall. It's made up of identical floors that are each rotated slightly compared to the one underneath it.
**Floor Plan Diagram Explanation:**
- The diagram illustrates the floor plan of the Cayan Tower.
- Each floor has a chevron shape, approximately made up of 2 parallelograms.
- Dimensions are given as 57 meters in height and 35 meters in width.
- There is a circular area with a diameter of 17 meters which represents the core of the building.
Each floor is the same chevron shape, with dimensions shown in the image. The circle in the floor plan shows the cross section of the core, which is used to circulate air and carry pipes and wiring throughout the building.
1. The area of the Cayan Tower's base is \( 57 \times 35 \) or 1,995 square meters. Why is it possible to find the area of the chevron shape by just multiplying its width and height?
2. Describe how the total volume of the building (including the core) can be calculated.
3. What shape is the core of the building, whose cross section is shown in the floor plan as a circle?
4. Describe how the volume of the building’s core can be calculated, including describing the measurements that would be used.
5. What percentage of the building’s volume is taken up by its core?
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