Question Video: Finding the Scale Factor of a Model given Its Height and the Actual Height Mathematics

Video Transcript

An architect made a model for a building that is to be 154 meters tall. Given that the model is 27.5 centimeters tall, determine the scale of the model.

The scale will be something like this: every centimeter equals blank meters. We need to see the ratio between centimeters and meters. The model is 27.5 centimeters. And that represented 154 meters. To get rid of the decimal point, I’m gonna multiply the numerator and the denominator by 10.

And now, I have a relationship of 275 over 1540. From there, we can divide the numerator and the denominator by 275. 275 divided by 275 equals one. 1540 divided by 275 equals 5.6. And that shows us that one centimeter is equal to 5.6 meters. The scale of the model is such that every centimeter represents 5.6 meters.