The liquid outer core of Earth is 2300 kilometers thick. A scale model of the layers of Earth has a scale of 1 in. : 500 km. How thick is the liquid outer core of the model?

1 answer

To find the thickness of the liquid outer core of the model, we first need to determine the scale factor. Since 1 inch represents 500 km in the actual Earth, the scale factor is:

1 inch = 500 km
x inches = 2300 km

Now, we can set up a proportion to find the thickness of the liquid outer core in the model:

1 inch / 500 km = x inches / 2300 km

Cross multiplying, we get:

500x = 2300
x = 2300 / 500
x = 4.6 inches

Therefore, the liquid outer core of the model is 4.6 inches thick.