Question

A pyramid is 24 ft tall. A scaledmodel has a height of 2 ft andis 1 foot wide at the base.Identify the scale factor that wasused to create the model

Answer 1

For this case we know that the real pyramid is 24 ft of tall

And we also know that we have a scaled model with a height of 2ft and a wide of 1ft in the base

Since the scale model preserve the factors between all the dimensions (that means if we compress by a factor of 1/2 all the dimensions would be compressed 1/2), we can do the following taking in count just the heights given:

$\text{Scale factor = }\frac{real\text{ height}}{scale\text{ height}}=\text{ }\frac{24\text{ ft}}{2ft}=\text{ 12}$

So then the answer for this case would be 1/12 or 1:12 for the scale figure