Exploring Scale Drawings in Chapter 7.5

The video tutorial covers the concept of scale drawings and models, explaining how they represent proportional 2D and 3D representations of objects. It demonstrates how to calculate actual distances using scale, with examples involving cities and Earth's layers. The tutorial also introduces the concept of scale factor, which is a scale without units, and shows how to find the perimeter and area of objects using scale drawings.

What does a scale in a drawing or model represent?

• The ratio of the model's dimensions to the actual object's dimensions

• The cost comparison between creating a model and the actual object

• The color contrast between the model and the actual object

• The time taken to create the model compared to viewing the actual object

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CCSS.7.G.A.1

If the map scale is 1 cm to 50 miles, how many actual miles does 3.5 cm represent?

• 125 miles

• 175 miles

• 150 miles

• 200 miles

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CCSS.7.RP.A.2C

How is the scale factor different from the scale?

• Scale factor includes units, while scale does not

• Scale factor is used only in 3D models

• Scale factor does not include units, while scale does

• There is no difference; they are the same

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CCSS.7.G.A.1

Using a scale of 1 inch : 500 kilometers, how many inches represent 2300 kilometers?

• 4.6 inches

• 5.0 inches

• 6.0 inches

• 3.5 inches

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CCSS.7.G.A.1

What is the actual scale used if a model is 10 inches and the real monument is 100 feet?

• 1 inch over 8 feet

• 1 inch over 12 feet

• 1 inch over 15 feet

• 1 inch over 10 feet

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CCSS.7.G.A.1

How do you convert 10 feet to inches if 1 inch equals 1 foot?

• Multiply by 10

• Multiply by 12

• Multiply by 8

• Multiply by 15

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CCSS.2.MD.A.2

What is the scale factor for a model if the scale is 1 inch over 120 inches?

• 1 over 130

• 1 over 100

• 1 over 120

• 1 over 110

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CCSS.7.G.A.1

What is the perimeter of a computer chip model that measures 4 cm by 4 cm?

• 8 cm

• 16 cm

• 12 cm

• 32 cm

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CCSS.4.MD.A.3

If 1 cm in a model equals 2 mm in reality, how long is the actual computer chip that measures 4 cm in the model?

• 12 mm

• 4 mm

• 16 mm

• 8 mm

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CCSS.7.G.A.1

What is the area of the actual computer chip if the model measures 4 cm each side and 1 cm equals 2 mm?

• 64 mm squared

• 32 mm squared

• 16 mm squared

• 128 mm squared

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CCSS.7.G.A.1