Scale Factor

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, a 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 factor from a drawing to the actual size?

Back

To calculate the scale factor, divide the actual size by the size in the drawing.

Front

If a drawing of a soccer field is 14 inches long and the actual field is 98 yards long, what is the scale factor?

Back

The scale factor is 7, meaning 1 inch in the drawing represents 7 yards in reality.

Front

What is the scale factor from triangle DEF to triangle ABC if the sides of ABC are twice as long?

Back

The scale factor is 2.

Front

How do you find the actual distance using a scale?

Back

Multiply the distance on the map by the scale factor to find the actual distance.

Front

If the scale on a map is 1 inch = 300 miles, what is the actual distance for 3 inches on the map?

Back

The actual distance is 900 miles.

Front

What is the height of a building in a scale drawing if the actual height is 300 ft and the scale is 1 inch : 10 ft?

Back

The height in the scale drawing should be 30 inches.

Front

If a map scale is 1 inch = 200 miles and the distance between two towns is 4.5 inches, what is the actual distance?

Back

The actual distance is 900 miles.

Front

What does it mean if a scale factor is less than 1?

Back

A scale factor less than 1 indicates a reduction in size.

Front

What does it mean if a scale factor is greater than 1?

Back

A scale factor greater than 1 indicates an enlargement in size.