How do you convert between different scale units on a drawing? (2024)

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Why convert scale units?

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How to convert fraction scales

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How to convert decimal scales

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How to convert ratio scales

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How to use a scale ruler

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How to check your conversions

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Here’s what else to consider

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If you work with construction drawings, you need to know how to convert between different scale units on a drawing. Scale units are the ratios that show how the dimensions on a drawing relate to the actual size of the object or space. For example, a scale of 1:100 means that one unit on the drawing equals 100 units in reality. Scale units can be expressed in different ways, such as fractions, decimals, or ratios. In this article, you will learn how to convert between these scale units using simple math and a scale ruler.

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1 Why convert scale units?

Converting scale units is important for several reasons. First, it helps you communicate clearly with other professionals who may use different scale units or measurement systems. For example, if you are working with an architect who uses metric units and a contractor who uses imperial units, you need to be able to convert the scale units to avoid confusion and errors. Second, it helps you measure and calculate accurately on a drawing. For example, if you need to find the area of a room on a drawing that uses a decimal scale, you need to convert it to a fraction scale to use a scale ruler.

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2 How to convert fraction scales

Fraction scales are the most common way to express scale units on a drawing. They use a fraction to show the ratio between the drawing and the reality. For example, 1/4" = 1'-0" means that one quarter of an inch on the drawing equals one foot in reality. To convert between fraction scales, you need to find the common denominator and multiply or divide both sides of the fraction by the same number. For example, to convert 1/4" = 1'-0" to 1/8" = 1'-0", you need to multiply both sides by 2. To convert 1/8" = 1'-0" to 1/4" = 1'-0", you need to divide both sides by 2.

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3 How to convert decimal scales

Decimal scales are another way to express scale units on a drawing. They use a decimal number to show the ratio between the drawing and the reality. For example, 0.02 means that one unit on the drawing equals 0.02 units in reality. To convert between decimal scales, you need to multiply or divide both sides of the decimal by the same number. For example, to convert 0.02 to 0.01, you need to multiply both sides by 2. To convert 0.01 to 0.02, you need to divide both sides by 2.

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4 How to convert ratio scales

Ratio scales are a third way to express scale units on a drawing. They use a colon to show the ratio between the drawing and the reality. For example, 1:100 means that one unit on the drawing equals 100 units in reality. To convert between ratio scales, you need to multiply or divide both sides of the ratio by the same number. For example, to convert 1:100 to 1:50, you need to multiply both sides by 2. To convert 1:50 to 1:100, you need to divide both sides by 2.

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5 How to use a scale ruler

A scale ruler is a tool that helps you measure and draw scaled dimensions on a drawing. It has different scales marked on its edges, such as 1/4", 1/8", or 1:100. To use a scale ruler, you need to choose the scale that matches the scale unit on the drawing. Then, you need to align the zero mark of the scale ruler with the starting point of the dimension you want to measure or draw. Next, you need to read or mark the end point of the dimension on the scale ruler. Finally, you need to convert the measurement or dimension from the scale unit to the actual unit if needed.

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6 How to check your conversions

Converting scale units can be tricky, especially if you are dealing with different measurement systems or complex ratios. To avoid mistakes and ensure accuracy, you should always check your conversions by using a different method or tool. For example, you can use a calculator, a conversion table, or an online converter to verify your math. You can also use a regular ruler, a tape measure, or a digital caliper to compare your scaled measurements or dimensions with the actual ones. By checking your conversions, you can avoid costly errors and improve your construction drawing skills.

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7 Here’s what else to consider

This is a space to share examples, stories, or insights that don’t fit into any of the previous sections. What else would you like to add?

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Construction Drawings How do you convert between different scale units on a drawing? (5)

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How do you convert between different scale units on a drawing? (2024)

FAQs

How do you convert between different scale units on a drawing? ›

Step 1: Find the actual measurements of the drawing in the first given scale by multiplying. Step 2: Find the new scale measurements by multiplying the actual measurements by the new scale. Step 3: Draw a new scaled drawing using the new scaled measurements, keeping the angle measurements the same.

How do you convert scales from one scale to another? ›

To convert between ratio scales, you need to multiply or divide both sides of the ratio by the same number. For example, to convert 1:100 to 1:50, you need to multiply both sides by 2. To convert 1:50 to 1:100, you need to divide both sides by 2.

How do you change the scale of a drawing? ›

Try it!
  1. Go to the page that you want to change the drawing scale on, and select Design.
  2. In the Page Setup group, select the More arrow. ...
  3. Select Drawing Scale.
  4. Select Pre-defined scale, and choose the pre-defined scale you want.
  5. Select a scale ratio if you'd like, or select Custom Scale and enter your own values.

How do you calculate different scales? ›

The basic formula that is used for calculating the scale factor is, Scale factor = Dimension of the new shape ÷ Dimension of the original shape. In case, if the original figure is scaled up, the formula is written as, Scale factor = Larger figure dimensions ÷ Smaller figure dimensions.

How do you work out scales from a drawing? ›

If the scale drawing is smaller than the original object, then it is called a reduction. A scale is a ratio of a length in the drawing to the corresponding length in the actual object. To find the scale used in a drawing or model, divide the drawing length by the actual length.

How do you redraw a scale drawing with a new scale? ›

In order to redraw a scale drawing with a new scale we perform 2 steps:
  1. we find how many times the new scale is bigger or smaller than the old one (this would be scale factor).
  2. we multiply this scale factor by the dimensions of the old scale drawing to get a new drawing.

How do you draw different scales? ›

Step 1: Find the actual measurements of the drawing in the first given scale by multiplying. Step 2: Find the new scale measurements by multiplying the actual measurements by the new scale. Step 3: Draw a new scaled drawing using the new scaled measurements, keeping the angle measurements the same.

How to convert actual size to scale size? ›

The scale factor is commonly expressed as 1:n or 1/n, where n is the factor. For example, if the scale factor is 1:8 and the real measurement is 32, divide 32 ÷ 8 = 4 to convert. To convert a smaller, scaled measurement up to the actual measurement, simply multiply the scaled measurement by the scale factor.

How to scale a CAD drawing? ›

Right-click the CAD drawing, point to CAD Drawing Object, and then click Properties. Click the General tab, and then select a scale setting using one of the following methods: If you want to drag shapes onto a CAD drawing, click Pre-defined scale, and then click Page Scale.

What is the scale formula? ›

To find the scale factor, first find the corresponding sides on the two figures. Then, divide the measurement of the new figure by the measurement of the original figure. The resulting value is your scale factor, or how many times larger or smaller your new figure is compared to the original.

What is the scale ratio of a drawing? ›

The ratio is marked at the left end of the scale. For example, the scale of 1:50 means that 1 mm on the drawing represents 50 mm on the object. This means that the object is 50 times larger than the drawing of it. An object 450 mm long would be represented by a line 9 mm long (450 mm/50).

What are examples of scale in drawing? ›

For example, a scale of 1 : 500 means that 1 cm on the scale drawing represents 500 cm in real life. n : 1 informs the user that a certain number (n) of units on the scale drawing represents one unit in real life. For example, a scale of 200 : 1 means that 200 mm on the scale drawing represents 1 mm in real life.

What is the formula for the scale in engineering drawing? ›

Length of scale = RF x Maximum distance to be represented Plain scale: • A plain scale is used to indicate the distance in a unit and its nest subdivision. A plain scale consists of a line divided into suitable number of equal units. The first unit is subdivided into smaller parts.

How do you scale from one scale to another? ›

Step 1: Find the actual measurements of the drawing in the first given scale by multiplying. Step 2: Find the new scale measurements by multiplying the actual measurements by the new scale. Step 3: Draw a new scaled drawing using the new scaled measurements, keeping the angle measurements the same.

What is the formula for scale conversion? ›

The scale factor is commonly expressed as 1:n or 1/n, where n is the factor. For example, if the scale factor is 1:8 and the real measurement is 32, divide 32 ÷ 8 = 4 to convert. To convert a smaller, scaled measurement up to the actual measurement, simply multiply the scaled measurement by the scale factor.

How do you change the mode on a weighing scale? ›

For most digital scales, the instructions for changing the weighing mode are as follows:
  1. Power on the scale.
  2. Press the [UNIT] or [MODE] key to change weighing mode.
  3. Cycle through units by pressing the [UNIT] or [MODE] key until you find the correct weighing mode.
  4. Weigh items as usual.

How do you reprogram a digital scale? ›

One of the easiest ways to reset a digital scale is by applying gentle pressure to the center of the scale with one foot. This action serves as a wake-up call, initiating the calibration process.

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