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Answer:
The scale factor for a model is 5 cm = 16.05 cm.
Step-by-step explanation:
Given:
Model: 9.5cm Actual : 30.5m and the scale factor for model is 5 cm.
Now, we need to find the actual shape for the scale factor 5 cm.
<em>Let the actual shape be .</em>
Now, for getting the actual shape we set for proportion:
5:x :: 9.5:30.5
5:x = 9.5:30.5
Then, convert it into fractions:
Now, <em>on cross multiplying we get:</em>
Dividing both sides by 9.5 we get:
Therefore, the scale factor for a model is 5 cm = 16.05 cm.