The length of part of a model plane is #0.75# inches and the length of the part on the plane is #2# feet. What is the scale factor?

1 Answer
Jan 26, 2017

Answer:

#SF = 1/32#

Explanation:

The scale factor is the ratio between the image (or model) and the original shape.

Firstly the units must be the same. In this case I will assume that the model is smaller than the original.

#0.75 # inch : #2 # feet#" "larr# 1 foot = 12 inches

#0.75 # inch : #24 # inches #" "larr # drop the units

#0.75 : 24" "larr# get rid of the decimal by x 100

#75 : 2400" "larr# change to simplest form #div 25#

#3 : 96" "div 3#

#1 :32#

#SF = 1/32#

This is quite a common scale for model aeroplanes and tanks.
The real life size is 32 times bigger than the model.