Insert Lesson Title Here Course 2 Scale Drawings and Scale Models Insert Lesson Title Here Vocabulary scale model scale factor scale drawing

Scale Models and Scale Drawings Course 2 Scale Models and Scale Drawings A scale model is a proportional model of a three-dimensional object..

Scale Models and Scale Drawings Course 2 Scale Models and Scale Drawings A scale drawing is a proportional drawing of an object. Its dimensions are related to the dimensions of the actual object by a ratio called the scale factor.

Scale Models and Scale Drawings Course 2 Scale Models and Scale Drawings A scale factor is always the ratio of the model’s dimensions to the actual object’s dimensions. Caution! Model Actual

Example 1: Identify the Scale Factor Scale Drawings and Scale Models Example 1: Identify the Scale Factor Room Blueprint Length (in.) 144 18 Width (in.) 108 13.5 blueprint length room length 18 144 Write a ratio using one of the dimensions. = 1 8 = Simplify. 1 8 The scale factor is .

Insert Lesson Title Here Course 2 Scale Drawings and Scale Models Insert Lesson Title Here Example 2 Identify the scale factor. Model Aircraft Blueprint Length (in.) 12 2 Wing span (in.) 18 3 blueprint length aircraft length 2 12 = Write a ratio using one of the dimensions. 1 6 = Simplify. The scale factor is . This is reasonable because of the length of the model is 3 in. The length of the blueprint is 2, which is less. is less than . 1 6 4

Insert Lesson Title Here Course 2 Scale Drawings and Scale Models Insert Lesson Title Here Example 3 On a road map, the distance between Dallas and Houston is 7 inches. What is the actual distance between the cities if the map scale is 1 inch = 50 kilometers? Let d be the actual distance between the cities. 1 50 7 d = Write a proportion. 1 · d = 50 · 7 Find the cross products. 1d = 350 Multiply. d = 350 The distance between the cities is 350 kilometers.

Scale Drawings and Scale Models Course 2 Scale Drawings and Scale Models Example 4 On a road map, the distance between Pittsburgh and Philadelphia is 7.5 inches. What is the actual distance between the cities if the map scale is 1.5 inches = 60 miles? Let d be the actual distance between the cities. 1.5 60 7.5 d = Write a proportion. 1.5 · d = 60 · 7.5 Find the cross products. 1.5d = 450 Multiply. 1.5d 1.5 450 1.5 = Divide both sides by 1.5. d = 300 The distance between the cities is 300 miles.

Scale Drawings and Scale Models Course 2 Scale Drawings and Scale Models Example 5: On a scale drawing, a school is 1.6 feet tall. The scale factor is . Find the height of the school. 1 22 1.6 h 1 22 Think: = 1.6 h 1 22 = Write a proportion to find the height. 1h = 35.2 Find the cross products. h = 35.2 feet Divide.

Scale Drawings and Scale Models Insert Lesson Title Here Course 2 Scale Drawings and Scale Models Insert Lesson Title Here Lesson Quiz: Part I Identify the scale factor. 1. Statue of Liberty Model Height (in.) 1,824 8 1 228 2. On a scale drawing, a kitchen wall is 6 inches long. The scale factor is . What is the length of the actual wall? 1 24 144 inches, or 12 feet

Scale Drawings and Scale Models Insert Lesson Title Here Course 2 Scale Drawings and Scale Models Insert Lesson Title Here Lesson Quiz: Part II 3. A countertop is 18 ft long. How long is it on a scale drawing with the scale 1 in. = 3 yd? 2 in