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 Sill, Linder, and Sons Designs with a Point Davidson Domes 1. Structure Shape 2. Reasons for Shape 3. Structural Materials 4. Reasons for Materials 5. Inspiration 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 Cylinder: Pyramid: Sphere: Surface area Cylinder: Pyramid: 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)