4.9.2 Project: Performance Task: The Subway Stop Geometry Sem 2 (S3990682) Project Archis Chinmulgund Points possible: 120 Date: ____________ The Scenario: The city subway is being extended to include a new stop in a large open plaza. The entrance to the new stop needs to be architecturally distinctive and energy efficient, but it also needs to fit within the budget. As part of your summer job with the Department of Transportation (DOT), you've been asked to review design ideas from three different firms and recommend which firm should be chosen to develop its idea into a full design proposal. The Project: Use the information provided in the Performance Task to learn more about the proposed designs, the requirements the structure must meet, and the estimated project costs before you recommend which architectural firm should fully develop its proposal. The questions below will help you gather information and prepare your recommendation. The Scenario: The city subway is being extended to include a new stop in a large open plaza. The entrance to the new stop needs to be architecturally distinctive and energy efficient, but it also needs to fit within the budget. As part of your summer job with the Department of Transportation (DOT), you've been asked to review design ideas from three different firms and recommend which firm should be chosen to develop its idea into a full design proposal. The Plaza 1. What is the area of the entire plaza? (1 point) 2. What is the area of the plaza available for the subway entrance? (1 point) 3. Draw a picture showing how much of the total area available for the subway entrance you think should be covered by the new structure, and explain your reasons. (3 points: 1 point for drawing, 2 points for explanation) The Firms' Designs 4. Review the designs proposed by each of the three architectural firms. Complete the following table to summarize your understanding of each proposal. (21 points: 1 point for each cell in rows 1, 3, and 5; 2 points for each cell in rows 2 and 4.) Firm 1. Structure Shape 2. Reasons for Shape 3. Structural Materials 4. Reasons for Materials 5. Inspiration Sill, Linder, and Sons Designs with a Point Davidson Domes The Scenario: The city government requires that the diameter or longest edge of the new structure not exceed 70 feet. Some members of the DOT think the structure should maximize the total enclosed space, while others think it's more important to maximize the footprint, or floor space. Click each structure to see its dimensions. Use this information to determine which structure you think best meets the requirements and needs. Formulas Area Triangle: Square: Circle: Volume Surface area Cylinder: Cylinder: Pyramid: Pyramid: Sphere: Sphere: Understanding the Calculations Required 5. What measurement do you need to calculate in order to determine the floor space, or footprint, of each structure? (1 point) 6. What measurement do you need to calculate in order to determine the amount of space each structure encloses? (1 point) 7. List the two measurements needed to estimate the amount of material required to cover each structure, not including the floor. Explain how these measurements would be used. (2 points: 1 point for the measurements, 1 point for the explanation) The Plaza 8. Which formula would you use to calculate the floor space of Firm 1's structure? Explain your choice. (Refer to the Formula table on page 3.) (2 points: 1 point for the formula, 1 point for the explanation) 9. Calculate the floor space of Firm 1's structure. (2 points) 10. Which formula would you use to calculate the total enclosed space of Firm 1's structure? Explain your choice. (Refer to the Formula table on page 3.) (2 points: 1 point for the formula, 1 point for the explanation) 11. What is the total enclosed space of Firm 1's structure? Show your calculations. (2 points) 12. Write a formula to estimate the amount of material required to cover Firm 1's structure, not including the floor. Explain your reasoning. (2 points: 1 point for the formula, 1 point for the explanation) 13. Use the formula from question 12 to estimate the amount of material required to cover Firm 1's structure, not including the floor. Show your calculations. (2 points) How Does Firm 2 Measure Up? 14.Which formula you would use to calculate the floor space of Firm 2's structure? Explain your choice. (Refer to the Formula table on page 3.) (2 points: 1 point for the formula, 1 point for the explanation) 15. What is the floor space of Firm 2's structure? Show your calculations. (2 points) 16. Which formula would you use to calculate the total enclosed space of Firm 2's structure? Explain your choice. (Refer to the Formula table on page 3.) (2 points: 1 point for the formula, 1 point for the explanation) 17. What is the total enclosed space of Firm 2's structure? Show your calculations. (2 points) 18. Write a formula to estimate the amount of material required to cover Firm 2's structure, not including the floor. Explain your reasoning. (2 points: 1 for the formula, 1 for the explanation) 19. Use the formula from question 18 to estimate the amount of material required to cover Firm 2's structure, not including the floor. Show your calculations. (2 points) How Does Firm 3 Measure Up? 20. Which formula would you use to calculate the floor space of Firm 3's structure? Explain your choice. (Refer to the Formula table on page 3.) (2 points: 1 point for the formula, 1 point for the explanation) 21. What is the floor space of Firm 3's structure? Show your calculations. (2 points) 22. Which formula would you use to calculate the total enclosed space of Firm 3's structure? Explain your choice. (Refer to the Formula table on page 3.) (2 points: 1 point for the formula, 1 point for the explanation) 23. What is the total enclosed space of Firm 3's structure? Show your calculations. (2 points) 24. Write a formula to estimate the amount of material required to cover Firm 3's structure, not including the floor. Explain your reasoning. (2 points: 1 for the formula, 1 for the explanation) 25. Use the formula from question 24 to estimate the amount of material required to cover Firm 3's structure, not including the floor. Show your calculations. (2 points) Meeting the Requirements 26. Use your calculations from the previous questions to complete the following table and compare the three structures. Round each answer to the nearest whole number. (3 points: 1 point for each row) Firm Floor space (ft 2) Enclosed space (ft 3) Surface area (ft 2) (exclude floor) 1: Cylinder 2: Pyramid 3: Dome 27. Some members of the DOT want to maximize floor space. Which structure has the largest footprint? (1 point) 28. Other DOT members think the structure should enclose the largest amount of space possible. Which structure would they prefer? (1 point) 29. Having a large enclosed space has advantages, but it can be more expensive to heat and cool. Assume an air conditioner uses about 4 BTUs/cubic foot each hour (a BTU is a measure of energy). How many BTUs will the air conditioner need to produce each hour to cool the structures? Hint: Multiply the enclosed space by the number of BTUs needed per cubic foot. (3 points) 1: Cylinder 2: Pyramid 3: Dome 30. The cost of the building materials will depend in part on the surface area of the structure. The larger the surface area to be covered, the more it will cost to build. Which structure has the smallest surface area? (1 point) 31. Which firm's design would you recommend? Why? As long as the design meets the requirements, there is no right or wrong answer. (3 points) Project Costs The budget for the initial phase of construction must be $450,000 or less. The overall cost will be determined by the materials used. Compare the cost of building your structure using different options for materials. Start by using only the highest-cost options. Will you be able to use these materials and stay within the budget? Next, identify a different mix of materials to put in your recommendation. Complete each table following these guidelines: Select a surface material to cover the structure. Use cables, structural rods, or struts that are all made of the same material. For structures that use connectors, you need three different types of the same material. The total price of the connectors is the sum of three different types. Round the values in the Cost column to the nearest dollar. 32. High Cost Options. Identify the highest-cost material for each component and calculate the associated cost. 13 points: 1 point for each table cell Material(s) Surface Cables, Structural Rods, or Struts Connectors Amount Price Cost Total Cost Main Components 33. Can you build your structure using only the most expensive materials and stay in budget? Why or why not? (1 point) Choosing Materials and Calculating Costs 34. Your proposed materials. Select a material for each component that you think should be used and calculate the associated cost. Make sure that the total cost of using your proposed materials is within budget. (13 points: 1 point for each table cell) Material(s) Surface Cables, Structural Rods, or Amount Price Cost Struts Connectors Total Cost 35. Draw a picture of the structure you are envisioning. Label the following: 1. The dimensions 2. The surface materials (4 points: 2 points for drawing, 2 points for labels) Contract Now it's time to make a recommendation. Prepare a brief report that outlines your recommendation for the idea that will be developed into a full design proposal. Make sure you demonstrate that the structure meets the city requirements, addresses the DOT concerns, and stays within budget. 36. Complete the report below so your manager knows the recommendation you're making and understands your thinking. Be sure to do all of the following: Select the recommended firm. (1 point) Describe the shape of the structure the firm should further develop. (2 points) Describe the dimensions of the structure. (2 points) List the materials to be used for the structure. (3 points) Identify the total cost of this structure, with 2 doorways. (1 point) Explain your reasons for recommending this structure. Make sure to include how it meets the DOT requirements and budget. (2 points) Structure Description Dimensions Materials Total Cost Reason for recommendation Copyright 2017 Apex Learning Inc. Use of this material is subject to Apex Learning's Terms of Use . Any unauthorized copying, reuse, or redistribution is prohibited. Apex Learning and the Apex Learning Logo are registered trademarks of Apex Learning Inc