Since it can be "if it can be cut into three cubes with equal volume", the six faces of the original cuboid can be divided into 14 equal faces, that is, all four faces can be divided into three equal squares, 4*3+2= 14.

70/ 14=5, and the area of each face is 5 square centimeters.

Now, "if you can cut it into three cubes with equal volume", you add four such faces. 4*5=20

The answer is: 20.