Answer :
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.
Let the actual shape be [tex]x[/tex].
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:
[tex]\frac{5}{x} =\frac{9.5}{30.5}[/tex]
Now, on cross multiplying we get:
[tex]9.5x=152.5[/tex]
Dividing both sides by 9.5 we get:
[tex]x=16.05[/tex]
Therefore, the scale factor for a model is 5 cm = 16.05 cm.