Question

The USS Enterprise was 1,123 feet in length.

A. What is the scale for a model that is 30 inches long?

B. What is the scale for a model that is 2 feet long?

Answer 1

The total length is 1123 feet.

a) if the model is 30 inches long, the first thing we need to do is write inches in feets, so 1 feet is equivalent to 12 inches.

so 30 inches are 30/12 = 2.5 feets.

the scale is the ratio between the feets in the the two lengths.

1123/2.5 = 449.2

so the scale is 1:449.2

so each feet in the model is equivalent to 449.2 feets in the enterprise.

b) if the model is 2 feet long, then:

1123/2 = 561.5

the scale is 1:561.5

so each feet in the model is equivalent to 561.5 feets in the enterprise.