Scale Drawings and Proportions

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 paper, using a specific ratio to represent real dimensions.

Front

What does the term 'proportion' mean in mathematics?

Back

Proportion refers to the relationship between two quantities, indicating how much of one quantity exists in relation to another.

Front

If a map has a scale of 1 cm = 5 km, how do you calculate the actual distance between two points on the map?

Back

Multiply the distance on the map (in cm) by the scale factor (5 km) to find the actual distance.

Front

What is the formula to find the actual distance using a scale?

Back

Actual Distance = Distance on Map × Scale Factor.

Front

How do you convert a scale of inches to feet?

Back

To convert inches to feet, divide the number of inches by 12, since there are 12 inches in a foot.

Front

What is the scale factor in a model?

Back

The scale factor is the ratio of a model's dimensions to the actual dimensions of the object it represents.

Front

If a model is built at a scale of 1 inch : 5 feet, how wide is a 10-foot object in the model?

Back

The width in the model would be 2 inches (10 feet ÷ 5 feet/inch).

Front

What is the relationship between scale drawings and real-life measurements?

Back

Scale drawings maintain the same proportions as real-life measurements, allowing for accurate representation of size and distance.

Front

How do you find the height of a building in a scale drawing if the actual height is known?

Back

Use the scale ratio to convert the actual height into the height in the drawing (e.g., Actual Height ÷ Scale Ratio).

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other.