Question

Model: 9.5cm Actual : 30.5m The scale factor for a model is 5 cm =

Answer 1

The scale factor for a model is 5 cm = 16.05 cm.

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
`x`.

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:

`(5)/(x) =(9.5)/(30.5)`

Now, on cross multiplying we get:

`9.5x=152.5`

Dividing both sides by 9.5 we get:

`x=16.05`

Therefore, the scale factor for a model is 5 cm = 16.05 cm.