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Scale Drawings Lesson

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Over Lesson 6-6 STATUES The statue of Zeus at Olympia is one of the Seven Wonders of the World. On a scale model of the statue, the height of Zeus is 8 inches. If the actual height of the statue is 40 feet, what is the scale? 5-Minute Check 1

You have already written and solved proportions. (Lesson 6–5) Use scale drawings. Construct scale drawings. Then/Now

Example: A scale model has a scale of 1 inch = 2 feet. scale factor – the ratio of a length on a scale drawing or model to the corresponding length on the real object in the same unit of measure Example: A scale model has a scale of 1 inch = 2 feet. Vocabulary

Method 1 Use a proportion. Find Actual Measurements MAP A map has a scale of 1 inch = 8 miles. Two towns are 3.25 inches apart on the map. What is the actual distance between the two towns? Method 1 Use a proportion. Let x represent the actual distance between the two towns. Write and solve a proportion. map distance → actual distance → ← map distance ← actual distance Find the cross products. Simplify. Answer: The actual distance between the two towns is 26 miles. Example 2

SCALE DRAWING A scale drawing of a new house has a scale of 1 inch = 4 feet. The height of the living room ceiling is 2.75 inches on the scale drawing. What is the actual height of the ceiling? A. 1.45 feet B. 48 feet C. 11 feet D. 6.88 feet Example 2

Living room Closet Example 3

Answer: 15 ft by 18 ft Living room Scale: 1 inch = 24 feet Find the length: l = 15 feet Find the width: w = 18 feet Answer: 15 ft by 18 ft Example 3

Answer: 6 ft by 12 ft b. closet Scale: 1 inch = 24 feet Find the length: l = 6 feet Find the width: w = 12 feet Answer: 6 ft by 12 ft Example 3

Master Bedroom: 12 feet by 15 feet Example 3

Master Bedroom: 12 feet by 15 feet Scale: 1 inch = 24 feet Find the length: 1 • 12 = 24 • l 12 = 24l 24 24 Find the width: 15 = 24w 24 24 Example 3

End of the Lesson