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?

Respuesta :

[tex]\boldsymbol{\mathbf{Answer}}[/tex]

[tex]\boldsymbol{\mathbf{Width \,of \,scale\, model \,is\, 4.5 \,cm} }[/tex]

[tex]\boldsymbol{\mathbf{Step-by-step \,explanation}}[/tex]

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,

= [tex]{40.5}\times{2700}[/tex]

[tex]\boldsymbol{Scale factor = 0.015}[/tex]

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

Width of scale model is,

= [tex]{300}\times{0.015}[/tex]

=  [tex]\boldsymbol{\mathbf{4.5\,cm}}[/tex]