Through each face of the cube, a plane was drawn. Into how many parts will these planes divide the space?
The planes divide the space into 27 parts.

Indeed, let's first draw two planes through opposite faces. They will divide the space into three "layers". Now, let's draw the remaining four planes. They will cut out nine sections in each layer. (It might be helpful here to look at what happens if you draw lines through the sides of a square on a plane.) In total, we have \(3 \times 9 = 27\) parts.