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 space that is proportionally reduced or enlarged to fit on paper, using a specific ratio to represent real dimensions.

Front

How do you calculate the length of a drawing using a scale?

Back

To calculate the length of a drawing, multiply the actual length by the scale factor. For example, if the scale is 1 cm = 2 m and the actual length is 10 m, the drawing length is 10 m / 2 m/cm = 5 cm.

Front

If a scale is 1 inch = 600 feet, how do you find the actual height of a model that is 4 inches tall?

Back

Multiply the height of the model by the scale factor: 4 inches * 600 feet/inch = 2400 feet.

Front

What does it mean if a scale is 5 cm for each meter?

Back

It means that every 5 cm on the drawing represents 1 meter in real life.

Front

If a drawing is 20 inches long and the scale is 3 inches for each foot, how do you find the actual length?

Back

Divide the drawing length by the scale factor: 20 inches / 3 inches/foot = 6.67 feet.

Front

What is the purpose of using scale drawings in construction?

Back

Scale drawings help architects and engineers visualize and plan structures accurately, allowing them to represent large objects in a manageable size.

Front

How do you convert a scale drawing measurement to actual size?

Back

To convert a scale drawing measurement to actual size, multiply the measurement by the scale ratio.

Front

What is the scale of a drawing that shows 8 inches for every 30 meters?

Back

The scale is 8 inches : 30 meters, which can also be expressed as 1 inch : 3.75 meters.

Front

If a model is 3 inches tall and the scale is 1 inch = 600 feet, how tall is the actual building?

Back

The actual height is 3 inches * 600 feet/inch = 1800 feet.

Front

What is the relationship between scale and proportion in drawings?

Back

Scale and proportion are related as scale defines the ratio of the drawing to the actual size, while proportion refers to the relative sizes of different parts of the drawing.