## Unwrapping of Cube

*Imagine an unlimited number of small unit cubes (all the same size 1×1×1). From these unit cubes, you start to build bigger and bigger cubes in such a way that a cube will be wrapped into other unit cubes.
This “unit cube wrap” can be called a layer. Then imagine the built cube C of the size of 6×6×6 unit cubes. Using the GeoGebra applet, try to answer the following questions: *
*a) **How many layers of cube C do you have to unwrap to get to the smallest possible cube built from small unit cubes?*
*b) **How many unit cubes does each layer have? *
*c) **How many unit cubes are hidden in cube C*_{ }that cannot be seen at all?
*d) **How many unit cubes of the visible layer touch the faces of unit cubes of the previous
layer? *
*e) **Remove the unit cubes from cube C that have just three touching faces with the other unit
cubes. How many unit cubes remain in the visible layer? *