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Challenge Question: A model-sized cube has a side length of 15 cm. The full-sized version has a side length of 127.5 cm. What is the scale?

What is the area of one face of the cube?

What is the volume of the cube?

Respuesta :

The size of the model-sized cube VS the full-sized version can be compared using ratios:

15:127.5

We can find the scale by calculating 127.5/15, which equals to 8.5.

To find the area of one face, we do length*width. We know that the side length of the cube is 8.5cm, and since every side on the cube is the same, we do 8.5*8.5 which equals to 72.25cm^2.

To find the volume, we do length*width*height. As mentioned earlier, all sides of a cube are the same meaning the length, width and height are all 8.5cm.

8.5*8.5*8.5 = 614.125cm^3.
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