# Unwrapping of Cube

## 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?*Download our apps here: