Scale Drawings and Proportions

This video tutorial covers the concepts of scale drawings and scale models, focusing on understanding ratios and proportions. It explains the difference between scale and scale factor, and demonstrates how to calculate scale factors using various examples. The tutorial also applies these concepts to real-world scenarios, such as determining the dimensions of a painting and calculating distances on a map using scale. By the end, viewers will have a clear understanding of how to work with scale drawings and models.

What is a model in the context of scale drawings?

• A two-dimensional representation of an object

• A copy of a three-dimensional figure

• An original object used for comparison

• A mathematical equation

How does a scale factor differ from a scale?

• Scales are used for length, while scale factors are used for area

• Scale factors are ratios without units, while scales can have units

• Scale factors include units, while scales do not

• Scales are always whole numbers, while scale factors are fractions

What is the correct way to set up a scale factor?

• Denominator over numerator

• Numerator over denominator

• Model over actual

• Actual over model

If a model's length is 5T and the actual length is 60 ft, what is the scale factor?

• 5/60

• 1/12

• 1/10

• 12/1

What is the scale factor if the model width is 3T and the actual width is 36 ft?

• 12/1

• 3/36

• 1/12

• 1/10

How do you calculate the actual width of a painting if the photo width is 5.9 cm and the scale factor is 1/9?

• Add 5.9 to 9

• Multiply 5.9 by 9

• Subtract 5.9 from 9

• Divide 5.9 by 9

What is the actual height of a painting if the photo height is 8.6 cm and the scale factor is 1/9?

• 9 cm

• 8.6 cm

• 53 cm

• 77 cm

If a map scale is 3 cm to 65 miles, what does 5 cm on the map represent?

• 3 miles

• 5 miles

• 65 miles

• 108 miles

How do you set up a proportion to find the actual distance using a map scale?

• Actual over model

• Denominator over numerator

• Model over actual

• Numerator over denominator

What is the actual distance between two cities if the map distance is 5 cm and the scale is 3 cm to 65 miles?

• 108 miles

• 65 miles

• 5 miles

• 3 miles