A cuboid of dimensions $7 \text{ cm} \times 5 \text{ cm} \times 3 \text{ cm}$ is painted red, green and blue colour on each pair of opposite faces of dimensions $7 \text{ cm} \times 5 \text{ cm}$ , $5 \text{ cm} \times 3 \text{ cm}$ , $7 \text{ cm} \times 3 \text{ cm}$ 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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