Question

If you had a rubik's cube with 10 little squares on each side, and peeled off the outer layer, how many little cubes would you end up with?

Answer 1

512 cubes.

Explanation:

We know that the volume of a cube is

`V=s^(3)`

Where
`V` is volume and
`s` is side.

If we have 10 little squares on each side, the volume is

`V=10^(3)=1000`
`u^(3)`

If we peeled of the outer layer, that means 10-2=8, so the total number of cubes reaming is represented by the reduced volume

`V=8^(3)u^(3)=512`

Therefore, we would end up with 512 cubes.

Answer 2

There is 6 sides in a cube, multiplying we get the number of squares:
6*10 = 60 little squares.
Peeling off one layer means subtracting 10 squares from the above numbers like this:
60 - 10 = 50.

Answer: we end up with 50 littles squares.