## Task 11 - V00611

A cube with an edge length of $12 \mathrm{~cm}$ is painted black. Then it is cut in such a way that 27 smaller cubes are created.

In this process, cubes with three black side faces are created, others with two, others with only one, and still others that have no black side faces at all.

How many cubes are there in each group, and what is the length of the edges of the 27 small cubes?
a) 8 cubes with 3 black side faces

b) 12 cubes with 2 black side faces

c) 6 cubes with 1 black side face

d) 1 cube with no black side faces

i.e., a total of 27 cubes. The edge length of these cubes is $\frac{1}{3}$ of the original edge length, i.e., $4 \mathrm{~cm}$.