Day 73: Scale Drawings and models word problems

Front

What is a scale drawing?

Back

A scale drawing is a representation of an object or area that maintains the proportions of the original, using a specific ratio or scale to convert real measurements into smaller or larger dimensions.

Front

How do you calculate the length on a scale drawing?

Back

To calculate the length on a scale drawing, divide the actual length by the scale factor. For example, if the scale is 1 cm = 4 m and the actual length is 8 m, the drawing length is 8 m / 4 m/cm = 2 cm.

Front

What does the scale '1 cm = 4 m' mean?

Back

It means that every 1 centimeter on the drawing represents 4 meters in reality.

Front

If a door is 2 meters tall and the scale is 1 cm = 4 m, what is the height of the door on the scale drawing?

Back

1/2 cm.

Front

How do you convert a real distance to a scale distance?

Back

Multiply the real distance by the scale factor. For example, if the scale is 5 cm for each meter and the real distance is 15 m, the scale distance is 15 m * 5 cm/m = 75 cm.

Front

What is the actual distance if a map has a scale of 2 cm for every 25 miles and the distance on the map is 10 cm?

Back

125 miles.

Front

If a drawing is 20 inches long and the scale is 3 inches for each foot, how long is the actual object?

Back

6 2/3 feet.

Front

What is the purpose of using scale drawings?

Back

Scale drawings are used to represent large objects or distances in a manageable size while maintaining accurate proportions.

Front

How do you find the scale factor?

Back

The scale factor is found by dividing the actual measurement by the drawing measurement. For example, if the actual length is 10 m and the drawing length is 2 cm, the scale factor is 10 m / 2 cm.

Front

What is the relationship between scale and accuracy in drawings?

Back

A correct scale ensures that the drawing accurately represents the size and proportions of the actual object, which is crucial for understanding and interpreting the drawing.