Scale Drawings

Front

What is a scale drawing?

Back

A scale drawing is a representation of an object or space that is proportionally reduced or enlarged to fit on paper, using a specific scale to maintain accurate dimensions.

Front

What does the scale 2 inches : 1 foot mean?

Back

It means that every 2 inches on the drawing represents 1 foot in actual size.

Front

If a bakery in a scale drawing measures 104 inches, how do you find the actual size using the scale 2 inches : 1 foot?

Back

To find the actual size, divide the drawing measurement by the scale factor: 104 inches ÷ 2 inches/foot = 52 feet.

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, some quantity. In scale drawings, it indicates how much larger or smaller the drawing is compared to the actual object.

Front

If the perimeter of a rectangle is enlarged from 20 inches to 80 inches, what is the scale factor?

Back

The scale factor is 4, because 80 inches ÷ 20 inches = 4.

Front

How do you calculate the new perimeter of a rectangle if the original perimeter is 30 cm and the scale factor is 4?

Back

Multiply the original perimeter by the scale factor: 30 cm × 4 = 120 cm.

Front

What is the scale of a drawing if the actual dimensions of a kitchen are 24 ft by 24 ft and the drawing shows it as 3 cm by 3 cm?

Back

The scale is 1 cm : 8 ft, because 24 ft ÷ 3 cm = 8.

Front

What is the purpose of using scale drawings?

Back

Scale drawings help visualize large objects or spaces in a manageable size while maintaining accurate proportions.

Front

If a rectangle's length is doubled in a scale drawing, what happens to its area?

Back

If the length is doubled, the area becomes four times larger, because area is calculated as length × width.

Front

What is the relationship between the scale factor and the dimensions of a shape?

Back

The scale factor directly affects the dimensions of a shape; increasing the scale factor enlarges the dimensions, while decreasing it reduces them.