Question

The length of a model train is 18 inches. It is a scale model of a train that is 48 feet long. Find the scale factor.

Answer 1

Answer:

1:32

Step-by-step explanation:

Scale factor is given as the model to actual object. Both the model and actual dimensions must be in the same unit. Given model length of 18 inch and actual train length of 48 ft, we first convert train length to inches. 1 ft =12 incheshence 48 ft will be 48*12=576 inches

Scale factor, $s= \frac {m}{a}=\frac {18}{576}=\frac {1}{32}=1:32$

Therefore, the scale factor is 1:32 after simplification.