Scale Factor and Scale

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, some quantity. It is used to determine the ratio of the dimensions of a scale drawing to the actual object.

Front

How do you calculate the scale of a map?

Back

To calculate the scale of a map, divide the distance on the map by the actual distance it represents.

Front

If 1 inch on a map represents 42 miles, how far apart are two cities that are 5 inches apart on the map?

Back

210 miles (5 inches x 42 miles/inch = 210 miles).

Front

What is the formula to find the actual length from a scale drawing?

Back

Actual Length = Scale Drawing Length x Scale Factor.

Front

If a scale drawing of a car is 3 cm long and the scale is 1 cm:4 ft, what is the actual length of the car?

Back

12 feet (3 cm x 4 ft/cm = 12 ft).

Front

What does a scale of 1 inch = 10 meters mean?

Back

It means that every 1 inch on the model represents 10 meters in reality.

Front

How do you find the height of a scale model using proportions?

Back

Set up a proportion comparing the model height to the actual height using the scale.

Front

What is the scale of a drawing if a soccer field is 14 inches long in the drawing and 98 yards long in reality?

Back

1 inch = 7 yards (98 yards / 14 inches = 7 yards/inch).

Front

What is the relationship between scale factor and similarity in geometry?

Back

Scale factors are used to determine the similarity between two geometric figures, indicating how much one figure is enlarged or reduced compared to another.

Front

If the scale factor from shape ABCD to shape MNOP is 2/3, what does this mean?

Back

It means that shape MNOP is 2/3 the size of shape ABCD.