Scale Gondola

Scale help please?

Um.. I don’t really get it. The scale is 1 inch = 4 feet.

a. Height of boxcar: 15 ft.
Model Height: _____

b. Model gondola length: 5 1/2 in.
actual length: _____

Could you help me figure this out. I can’t remember how to do this anymore. If you could explain it to me, that would help lots! :)

Two ways of looking at this.

First. 1 inch on the model = 4 feet on the real thing.

So on the boxcar, how many ‘ 4-feets’ are there ?

Answer is 15 / 4

So the model is 15 / 4 inches high because ‘4-feet’ corresponds to ‘inch’ on the model

Model gondola = 5½ inches

Therefore real gondola = 5½ x 4 feet, again because ‘inch’ on the model corresponds to ‘4-feet’ in real life.

———————————-

Second way of looking at it : 1 inch on model corresponds to 4 feet, i.e. 1 inch corresponds to 48 inches on the real thing.

So a model reduces everything to 1/48 of its real size.

Therefore 15 feet = 180 inches = 180 / 48 inches on the model, that is 15 / 4 inches (or 3¾ inches if you prefer)

Model gondola = 5½ inches long

Therefore real gondola = 48 x 5½ inches = 264 inches, or 22 feet.

—————————————————–

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