Apply scale factors to length, area, and volume using k, k^2, and k^3 relationships.
Use a scale factor to find a new length, area, or volume
Problem
A model car is built with scale factor \(1/10\) from the real car. If a real car length is \(180~\text{inches}\), what is the corresponding model length?
Big Picture
What this problem is really about
The scale describes the model as an image of the real object, so direction matters before any arithmetic. We’ll identify the requested measure as a length, apply the model-to-real factor to the first power, retain the length units, and check that the resulting ratio matches a reduced-size model.
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