Scale Factor and Scale Drawings Review

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What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, some quantity. In the context of scale drawings, it represents the ratio of a length in the drawing to the corresponding length in reality.

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How do you calculate the actual distance using a map scale?

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To calculate the actual distance, multiply the distance on the map by the scale factor. For example, if the scale is 1 inch : 100 miles and the distance on the map is 1 3/4 inches, the actual distance is 1.75 inches * 100 miles/inch = 175 miles.

Front

What is the purpose of a scale drawing?

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A scale drawing is used to represent an object or space in a proportional manner, allowing for accurate measurements and visualizations of larger objects or areas.

Front

If a scale drawing uses a scale of 1 inch : 2 feet, how do you convert inches in the drawing to feet in reality?

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To convert inches in the drawing to feet in reality, multiply the number of inches by the scale factor. For example, 5 inches in the drawing would be 5 inches * 2 feet/inch = 10 feet.

Front

What is the relationship between scale factor and actual size?

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The scale factor indicates how much larger or smaller the drawing is compared to the actual size. A scale factor greater than 1 indicates the drawing is smaller than the actual size, while a scale factor less than 1 indicates the drawing is larger.

Front

How do you find the length of an object in reality from a scale drawing?

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To find the length of an object in reality, multiply the length in the scale drawing by the scale factor. For example, if the scale is 1 mm : 5 m and the drawing length is 10 mm, the actual length is 10 mm * 5 m/mm = 50 m.

Front

What is the significance of using different units in scale drawings?

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Using different units in scale drawings allows for flexibility in representing various sizes and dimensions. It is important to ensure that the units are consistent when calculating actual sizes.

Front

How can you determine the scale of a drawing if it is not provided?

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To determine the scale of a drawing, measure a known length in the drawing and compare it to the actual length of the object it represents. The ratio of these two lengths will give you the scale.

Front

What is the formula for calculating the actual size from a scale drawing?

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The formula is: Actual Size = Length in Drawing * Scale Factor.

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What is the importance of understanding scale factors in real-life applications?

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Understanding scale factors is crucial in fields such as architecture, engineering, and cartography, as it allows for accurate representations and measurements of real-world objects and spaces.