Question

The Titanic was 883 feet long and 175 feet tall.

A. If a model is built to have a scale ratio of 1in : 36ft , how long will the model be?

B. If a model is built to have a scale ratio of 1 in : 22 ft , how tall will the model be?

C. If a model is built to have a ratio of 1: 30 , how tall will the model be?

Answer 1

A. 24.53 inches long

B. 7.95 inches tall

C. 5.83 inches tall

Explanation:

Original size of the Titanic was 883 feet long and 175 feet tall.

A. Scale ratio of 1 in : 36 ft.

scale ratio of a model =
`(1)/(36)`

Now length =
`(scale)/(actual)`

Let the length of the model be l inches

so length =
`(l)/(883)` =
`(1)/(36)`

l =
`(883)/(36)`

= 24.52777 ≈ 24.53 inches long.

B. Scale ratio of 1 in : 22 ft.

scale ratio of a model =
`(1)/(22)`

Let the model will be h inches tall.

so height =
`(h)/(175)` =
`(1)/(22)`

h =
`(175)/(22)`

= 7.954545 ≈ 7.95 inches tall

C. Scale ratio of 1 in : 30 ft.

scale ratio of model =
`(1)/(30)`

Let the model will be h inches tall.

so height =
`(h)/(175)` =
`(1)/(30)`

h =
`(175)/(30)`

= 5.83 inches tall.