Scale Drawing & Scale Factor

Front

What is a scale drawing?

Back

A scale drawing is a representation of an object or area that is proportionally reduced or enlarged to fit on a page, maintaining the same ratios as the original.

Front

What is a scale factor?

Back

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

Front

If a map has a scale of 1 inch = 50 miles, how would you find the actual distance for 5 inches on the map?

Back

Multiply the map distance by the scale factor: 5 inches x 50 miles/inch = 250 miles.

Front

What is the formula to calculate the actual distance using a scale drawing?

Back

Actual Distance = Map Distance x Scale Factor.

Front

How do you convert a scale factor of 1:100 to a decimal?

Back

Divide 1 by 100 to get 0.01.

Front

If a Lego model is built at a scale of 1:200, what does this mean?

Back

It means that 1 unit on the Lego model represents 200 units in real life.

Front

What is the scale factor if a rectangle is enlarged from 2 cm to 6 cm?

Back

The scale factor is 6 cm / 2 cm = 3.

Front

How do you find the height of a real object if you know the height of a scale model and the scale?

Back

Use the formula: Height of Real Object = Height of Model x Scale.

Front

If two similar figures have a scale factor of 3:1, what does this imply about their areas?

Back

The area of the larger figure is 3^2 = 9 times the area of the smaller figure.

Front

What is the scale factor from a drawing of a building that is 4 inches tall to the actual building that is 40 feet tall?

Back

Convert 40 feet to inches (40 feet x 12 inches/foot = 480 inches). The scale factor is 480 inches / 4 inches = 120.