A cube is painted red on all faces. It is then cut into 27 equal small

Hi Salvetor,

I'm going to give you a couple of hints so that you can try this question again:

1) Draw a simple cube
2) Draw 9 squares on each face of the cube (so that it looks like a Rubik's Cube) - this is what the cube will look like when it's cut into 27 equal smaller cubes.
3) Remember that the OUTSIDE of the cube is the part that's painted....

While the question asks for the number of min-cubes that have paint on 2 sides, here's a critical thinking exercise (you can use the drawing to help you; remember that the cube has 6 sides and you're not allowed to count a min-cube more than once):

Which of the 27 mini-cubes have paint on just 1 side?
Which of the 27 mini-cubes have paint on 2 sides?
Which of the 27 mini-cubes have paint on 3 sides?

Final Answer

GMAT assassins aren't born, they're made,
Rich