Question

A souvenir maker wants to create a scale model of the Eiffel Tower. The Eiffel Tower is 324 meters tall and has a base with dimensions 125 meters by 125 meters. The model will rest on a base with dimensions 12.5 cm by 12.5 cm. How tall will the model be in centimeters?
A)0.21 cm
B)20.74 cm
C)0.324 cm
D)32.40 cm

Answer 1

To figure this out, you need to find the ratio of the model, basically, how many times smaller the model is than the actual tower.

First, we make sure all our units are the same, and convert Height = 324m and Base Length = 125m into cm, getting Height = 32400cm and Base Length = 12500cm.

Then we find the ratio by dividing the base length of the model by the base length of the real tower.

so 12.5/12500 = .001

We now know that the model is one one-thousandth the size of the actual tower.

So now we take the height of the actual tower and divide it by a thousand to get the height of the model.

32400/1000 = 32.4

Thus, the model would be 32.4 cm in height.