Secondary 1 chevron_right Maths

Mrs. Gonzales has some white paint, some red paint, and a bunch of wooden cubes. Her class has decided to paint the cubes by making each face either solid red or solid white. One student painted his cube with all six faces white. Another painted her cube with all six faces red. Yet another painted four faces white and two red. How many cubes could be painted in this fashion so that each cube is different from the others? Two cubes are different if, no matter which way you turn them, they can not be matched up.

Please answer this with working. Thank you!