The following figure represents a wooden block of cube shape with 3 cm as its edge and all the face of the cube

The following figure represents a wooden block of cube shape with 3 cm as its edge and all the face of the cube are painted black. If the cube is cut along the dotted lines and 27 new cubes are formed with a volume of 1 cm³ What will be the no. of non-painted blocks?

(a) 1
(b) 3
(c) 6
(d) 9