Scale Factor

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, some quantity. In the context of drawings or models, it represents the ratio of a length in the drawing to the corresponding length in the actual object.

Front

If a scale drawing uses a scale of 1 inch to 10 feet, what is the scale factor?

Back

10

Front

How do you find the scale factor from a map to real life?

Back

To find the scale factor, divide the real-life distance by the distance on the map.

Front

What is the scale factor if 3 cm on a map represents 150 yards in real life?

Back

50

Front

If a rectangle has dimensions of 2 inches by 3 inches and is scaled by a factor of 7, what are the new dimensions?

Back

14 inches by 21 inches.

Front

How do you calculate the actual distance between two cities if the map distance is 4.125 inches and the scale is 2 inches = 40 miles?

Back

Multiply the map distance by the scale factor: 4.125 inches * (40 miles / 2 inches) = 82.5 miles.

Front

What is the area of a flag if each inch in the picture represents 8 feet and the dimensions of the flag are 18 inches by 18 inches?

Back

The area of the actual flag is 144 square feet.

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.

Front

If a model car is built at a scale of 1:24, how many inches in the model represent 24 inches in real life?

Back

1 inch in the model represents 24 inches in real life.