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

Actual length = 883 feet

Actual height = 175 feet

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

36 feet = 1 inch

Actual length = 883 feet

So, 883 feet =
`(883)/(36) inch`

883 feet =
`24.527 inch`

So, If a model is built to have a scale ratio of 1in : 36ft ,the model will be 24.527 inch long.

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

22 feet = 1 inch

Actual height = 175 feet

So, 175 feet =
`(175)/(22) inch`

883 feet =
`7.9545 inch`

So, If a model is built to have a scale ratio of 1 in : 22 ft , the model will be 7.9545 inch tall.

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

Let the height be x

Actual length = 883 feet

Ratio of 1: 30

So,
`(1)/(30)=(883)/(x)`

`x=(883)/(30)`

`x=29.433`

So, If a model is built to have a ratio of 1: 30 ,the model will be 29.433 inches tall .