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Examples. The scale drawing length of 4 centimetres represents the corresponding length of 5 metres on the real object. Work out the scale that has been used and write it in its simplest form....
A scale drawing is created by multiplying each length by a scale factor to make it larger (an enlargement) or smaller (a reduction) than the original object. The scale of a drawing is usually stated as a ratio. For example, 1 \, cm \, \text{:} \, 5 \, m.
If two points are 10 cm apart on the map they are 10 cm × 5000 apart in real life. 10 cm × 5000 = 50000 cm. 50000 cm = 500 m. Example: A map has a scale 1:20000. The actual distance between two towns is 12km. Find the distance between the two towns on the map. Give your answer in cm.
How to use this scale converter. Set the scale ratio according your needs, such as 1:10, 1:30, 35:1, 1:100, 1:200, 1:500. Select the unit of real length and scale length. Support multiple unit coversions, such as mm, cm, meter, km, inches, feet, yards, miles, nautical miles.
Here we will learn about scale drawings, including creating scale drawings, using scale factors, and word problems. There are also scale diagrams and drawings worksheets based on Edexcel, AQA and OCR exam questions, along with further guidance on where to go next if you’re still stuck.
Scale maths is a way of enlarging an object. If we have two shapes that are similar, one will be a scale diagram of the other. We can calculate the scale factors for length, area and volume. Let’s look at this example, Length scale factor; The length scale factor can be calculated by comparing two lengths.
Solved Examples on Scale. Example 1. Find the scale factor when a square of side 4 cm is enlarged to make a square of side 8 cm. Solution: The formula for scale factor is: Scale Factor $=$ Dimensions of New Shape/Dimension of Original Shape. Therefore, the scale factor for the given enlargement is. Scale Factor $= 8/4$ Scale Factor $= 2$