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