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Lesson 6 Contents

Lesson 6 Contents. Example 1 Find a Missing Measurement Example 2 Find the Scale Factor Example 3 Find the Scale Example 4 Construct a Scale Model. Example 6-1a. MAPS The distance from Bingston to Alanton is 1.5 inches on the map. Find the actual distance.

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Lesson 6 Contents

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  1. Lesson 6 Contents Example 1Find a Missing Measurement Example 2Find the Scale Factor Example 3Find the Scale Example 4Construct a Scale Model

  2. Example 6-1a MAPS The distance from Bingston to Alanton is 1.5 inches on the map. Find the actual distance. Let x represent the actual distance from Bingston to Alanton. Write and solve a proportion.

  3. Map Scale Actual Distance map distance map distance actual distance actual distance Example 6-1b Find the cross products. Simplify. Answer: The actual distance from Bingston to Alanton is 7.5 miles.

  4. Example 6-1c MAPS The distance from Springfield to Capital City is 1.4 inches on the map. Find the actual distance. Answer: 9.8 miles

  5. Convert 5 miles to inches. Example 6-2a Find the scale factor for the map.

  6. Answer: The scale factor is or 1:316,800. This means that each distance on the map is the actual distance. Example 6-2b

  7. Answer: or 1:443,520 Example 6-2c Find the scale factor for the map.

  8. Example 6-3a SCALE DRAWINGS A wall in a room is 15 feet long. On a scale drawing it is shown as 6 inches. What is the scale of the drawing? Write a ratio comparing the length of the drawing to the actual length of the room. Using x to represent the actual length of the room, write and solve a proportion to find the scale of the drawing.

  9. Length of room Scale Drawing scale drawing length scale drawing length actual length actual length Example 6-3b Find the cross products. Multiply. Then divide each side by 6. Simplify. Answer: So, the scale is 1 inch = 2.5 feet.

  10. Example 6-3c SCALE DRAWINGS The length of a garage is 24 feet. On a scale drawing the length of the garage is 10 inches. What is the scale of the drawing? Answer: 1 inch = 2.4 feet

  11. Example 6-4a STATUE OF LIBERTY Auguste Bartholdi created several smaller models of the Statue of Liberty before creating the 152-foot statue that stands in New York Harbor. One such model was only 21 inches tall. What is the scale of this model to the final version? Use the scale to determine the length of the statue’s index finger on the model, which is 8 feet long on the actual statue.

  12. model height actual height The scale of the model to the actual statue is 1 inch 7.2 feet. Example 6-4b Determine the scale of the model to the final version. Find the cross products. Multiply. Then divide each side by 21. Simplify.

  13. Example 6-4c Use this scale to find the length of the statue’s index finger on the model. Answer: The finger in the model is about 1.1 inches long.

  14. Example 6-4d STATUE Marnie created a model of her town’s statue of Jebediah Springfield. Her model was 6 inches high. The actual statue is 27 feet tall. What is the scale of this model to the actual statue? Use the scale to determine the length of the statue’s mustache on the model, which is 3 feet long on the actual statue. Answer: 1 inch = 4.5 feet; about 0.67 inch

  15. End of Lesson 6

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