1. Essential Question: How do you solve problems involving scales?
Lesson 6.6 Scale Drawings
Essential Question: How do you solve problems involving scales?

2. Before we start…
On the map, the distance between Ogallala and Central City is 3 centimeters. The map’s scale shows that 1.5 centimeters represents 100 miles. How many miles apart are the two cities?

3. What is a scale?
The relationship between the model’s dimensions and the actual object’s dimensions.
Scale Measure: Actual Measure

4. What is a scale drawing?
A diagram of an object in which the dimensions are in proportion to the actual dimensions of the object

5. What is a scale model?
A three-dimensional model of an object in which the dimensions of the model are in proportion to the dimensions of the object.

6. How do you solve problems involving scales?
Set up a proportion using:
𝑆𝑐𝑎𝑙𝑒 𝑀𝑒𝑎𝑠𝑢𝑟𝑒 𝐴𝑐𝑡𝑢𝑎𝑙 𝑀𝑒𝑎𝑠𝑢𝑟𝑒 = 𝑆𝑐𝑎𝑙𝑒 𝐴𝑐𝑡𝑢𝑎𝑙
Solve the proportion using cross products

7. On the map, the center of the Pyramid of the Sun is 4 centimeters from the center of the Pyramid of the Moon. What is the actual distance from the center of the Pyramid of the Sun to the center of the Pyramid of the Moon?

8. A map uses a scale of 1 inch = 5 miles. Two towns on the map are 4
A map uses a scale of 1 inch = 5 miles. Two towns on the map are 4.5 inches apart. How far apart are the actual towns?

9. On a map, the distance between two cities is 3 inches
On a map, the distance between two cities is 3 inches. What is the actual distance (in miles) between the two cities if the map’s scale is 1 in. : 125 mi?

10. Every few years, the Grand Place in Brussels, Belgium, is decorated with a large floral carpet made of begonias. Before making the carpet, designers make detailed scale drawings. Suppose the floral carpet is to be 40 meters wide. A designer creates a scale drawing of the carpet that is 20 centimeters wide. Find the drawing’s scale.

11. Mike’s map shows a bicycle route that is 112 miles long
Mike’s map shows a bicycle route that is 112 miles long. On his map, this distance is 14 inches. What is the scale of the map?

12. In a scale drawing, a wall is 2 inches long
In a scale drawing, a wall is 2 inches long. The actual wall is 12 feet long. Find the scale of the drawing.

13. A model of a space shuttle has a scale of 1:52
A model of a space shuttle has a scale of 1:52. The space shuttle has a wingspan of 78 feet. Find the model’s wingspan.

14. A model of a sailboat has a scale of 1:20
A model of a sailboat has a scale of 1:20. The actual sailboat is 32 feet long. How long is the model?

15. A model of the Sears Tower in Chicago has a scale of 1 : 103
A model of the Sears Tower in Chicago has a scale of 1 : 103. The height of the Sears Tower’s observation deck is about 412 meters. Find the height of the observation deck of the model.

16. How do you solve problems involving scales?

17. Ticket Out the Door
A model of the Space Needle in Seattle, Washington has a scale of 1 : 110. The height of the Space Needle is 605 feet. Find the height of the model.