Question

Find the scale factor in each of the following and state the type of size transformation:
Model volume = 200cm³, Actual volume = 8cm³

Answer 1

Model volume = 200cm³, Actual volume = 8cm³ 
Actual volume
= 8 x 1000000cm²
= 8000000cm²

Scale factor

= `sqrt(("Model Volume")/("Actual Volume")`

= `sqrt((200)/(8000000)`

= `sqrt((1)/(40000)`

= `(1)/(200)`

Scale factor = 0.05
Since the scale factor < 1 and > 0
⇒ Type of size transformation = reduction.