A cuboid of dimensions $$(8 cm. \times  6 cm. \times 5 cm.)$$ is painted RED on the pair of opposite surfaces of dimensions $$(8 cm. \times 6 cm.)$$. Remaining two opposite surfaces of dimensions $$(8cm. \times 5 cm.)$$ are painted BLACK. And two surfaces of dimensions $$(6 cm. \times 5 cm.)$$ are painted with BLUE colors. Now the block is divided among smaller cubes of dimensions $$(1 cm. \times 1 cm. \times 1 cm.)$$. In how many of the small cubes all the three colors appear?