Question

A scale model of a locomotive is placed in a technology museum. The actual locomotive is 5 meters tall, 27 meters long and 3 meters wide. If the scale model is 40.5 centimeters long, how wide is the scale model?

Answer 1

`\boldsymbol{\mathbf{Answer}}`

`\boldsymbol{\mathbf{Width \,of \,scale\, model \,is\, 4.5 \,cm} }`

`\boldsymbol{\mathbf{Step-by-step \,explanation}}`

The Actual size of locomotive are,

Tall = T = 5 m = 500 cm

Long = L = 27 m = 2700 cm

Width = W = 3 m = 300 cm

The scale model sizes are,

Tall = T = t cm

Long = L = 40.5 cm

Width = W = w cm

Scale factor of the model is,

=
`{40.5}*{2700}`

`\boldsymbol{Scale factor = 0.015}`

That means the scale model is 0.015 time smaller than actual model.b

Width of scale model is,

=
`{300}*{0.015}`

=
`\boldsymbol{\mathbf{4.5\,cm}}`