Day 66: 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

What does the term 'scale' mean in the context of drawings and models?

Back

In drawings and models, 'scale' refers to the ratio of the size of the drawing or model to the actual size of the object it represents.

Front

If a scale is 1 cm = 4 m, how do you find the height of an object in a scale drawing?

Back

To find the height in a scale drawing, divide the actual height by the scale factor. For example, for a 2 m tall door, 2 m ÷ 4 m/cm = 0.5 cm.

Front

How do you convert inches to feet when using a scale?

Back

To convert inches to feet, multiply the number of inches by the scale factor in feet. For example, if the scale is 1 inch = 265 feet, then 2 inches = 2 x 265 = 530 feet.

Front

What is the formula to calculate the actual distance from a map scale?

Back

The actual distance can be calculated by multiplying the distance on the map by the scale factor. For example, if the scale is 1 cm = 400 km and the distance on the map is 22 cm, then actual distance = 22 cm x 400 km/cm = 8800 km.

Front

What does it mean if a drawing has a scale of 6 inches representing 35 kilometers?

Back

It means that every 6 inches on the drawing corresponds to 35 kilometers in real life.

Front

How do you determine the length of a drawing if you know the actual length and the scale?

Back

To determine the length of a drawing, divide the actual length by the scale factor. For example, if the scale is 5 cm for each meter and the actual length is 15 m, then drawing length = 15 m ÷ 1 m/5 cm = 75 cm.

Front

What is the relationship between scale and accuracy in models?

Back

The scale affects the accuracy of a model; a correct scale ensures that the proportions of the model accurately represent the real object.

Front

If a model is built to a scale of 1:100, what does this mean?

Back

A scale of 1:100 means that 1 unit on the model represents 100 units in real life.

Front

How can you find the distance between two locations on a map?

Back

To find the distance between two locations on a map, measure the distance on the map and multiply it by the scale factor.