Question

A model of an aeroplane is made to a scale of 1 : 400. Calculate : the length, in cm, of the model; if the length of the aeroplane is 40 m.

Answer 1

Model of an aeroplane to the actual = 1 : 400

∴ Scale factor = `400/1 = k`

Actual length of aeroplane = 40 m

Then length of model = `1/k` × actual length

= `(40 xx 1)/400`

= `1/10 m`

= `1/10 xx 100`

= 10 cm