Question

The Eiffel Tower in Paris, France was built for the Universal Exposition in 1889 to commemorate the centennial of the French Revolution. It is made of wrought iron and stands 312 meters tall. If a model of the tower is 26 centimeters tall, what is the scale of the model?

Answer 1

The scale of the model of the Eiffel Tower is 1:1200.

Step-by-step explanation:

The Eiffel Tower in Paris, France was 312 meters tall. The model of the tower is 26 centimeters tall. To find the scale of the model, we can divide the height of the actual tower by the height of the model. So, the scale of the model is:

312 meters / 26 centimeters

Simplifying this, we can convert 26 centimeters to meters by dividing by 100:

312 meters / (26 centimeters / 100) = 312 meters / 0.26 meters = 1200

Therefore, the scale of the model is 1:1200, meaning that every 1 unit on the model represents 1200 units on the actual tower.

Answer 2

To find the scale, first and foremost you should convert the length to cm:

312 meters = 312 x 100 = 31,200 cm, hence the scale of the model is :

26/31200 = 1/1200