What is the scale of a drawing if 50 mm represents 300 mm in reality?

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To determine the scale of a drawing when 50 mm represents 300 mm in reality, you need to set up a ratio that compares the drawing measurement to the actual measurement. The scale is expressed as a ratio of the drawing size to the real size.

In this case, the drawing size is 50 mm, and the actual size is 300 mm. To find the scale, you can divide both values by the drawing size:

  1. Divide the real measurement (300 mm) by the drawing measurement (50 mm):

( \text{Scale} = \frac{300 \text{ mm}}{50 \text{ mm}} = 6 )

This means the real size is 6 times larger than the drawing size. Therefore, the scale can be represented as 1:6, which means that 1 unit on the drawing corresponds to 6 of the same units in reality.

This reasoning confirms that the scale of the drawing is indeed 1:6, which indicates that for every 1 mm on the drawing, there are 6 mm in reality.

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