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How do you interpret a 1;500 scale drawing?

A drawing at a 1:500 scale indicates that 1 unit on the drawing corresponds to 500 units in reality.

To elaborate, a scale drawing is a technique used to depict large objects or areas on a smaller, more manageable piece of paper. The scale provides a ratio that indicates how much smaller the representation is compared to the actual object. Specifically, in a 1:500 scale, every 1 unit of measurement on the drawing (such as 11 centimetre or 11 inch) represents 500500 of the same units in the real world.

For instance, if you measure a length of 22 centimetres on the drawing, this means that the actual length is calculated as 22 centimetres multiplied by 500500, resulting in 10001000 centimetres, or 1010 metres. This scaling method proves particularly beneficial in fields like architecture, engineering, and geography, where it is impractical to create full-size representations of buildings, roads, or landscapes.

To accurately interpret a 1:500 scale drawing, familiarity with basic multiplication and unit conversions is essential. If you encounter a measurement on the drawing, you simply multiply it by 500500 to determine the corresponding real-world size. Conversely, if you know the actual size and wish to find out how it is represented on the drawing, you divide by 500500.

Mastering the concept of scale drawings is an important skill in GCSE Maths, as it enables you to visualize and analyze real-world objects and spaces in a simplified yet precise manner.

Answered by: Prof. Michael Lewis
IB Physics Tutor
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