A cuboid of dimensions 7 cm $$\times$$ 5 cm $$\times$$ 3 cm is painted red, green and blue colour on each pair of opposite faces of dimensions 7 cm $$\times$$ 5 cm, 5 cm $$\times$$ 3 cm, 7 cm $$\times$$ 3 cm respectively. Then the cuboid is cut and separated into various cubes each of side length 1 cm. Which of the following statements is/are correct?

1.There are exactly 15 small cubes with no paint on any face.
2.There are exactly 6 small cubes with exactly two faces, one painted with blue and the other with green.

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