Question

Sylvia read that the height of the Empire State Building is 443.2 m and wants to build a scale model of the building in her room. She knows that the height of the ceiling in her room is 8 ft. Write a scale that would allow a scale model of the Empire State Building in Sylvia's bedroom so that the top of the building would just touch her ceiling.

Answer 1

Scale of 181: 1

Explanation:

The first thing to do is to pass the feet by the meter, to work in the same units and thus create a consistent scale:

We know that one foot equals 0.3048 meters, therefore:

8 feet * 0.3048 meters / 1 foot = 2.4384 meters

So the scale would be:

443.2 / 2.4384 = 181.75

Which means that it is best to make a scale of 181: 1

Where 181 meters from the Empire State Building would equal 1 meter at home 0 181 inches would equal 1 inch at home