A cuboid of dimensions 7 cm x 5 cm x 3 cm is painted red, green and blue colour on each pair of opposite faces of dimensions 7 cm x 5 cm, 5 cm x 3 cm, 7 cm x 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.
Select the correct answer using the code given below:
A
1 only
B
2 only
C
Both 1 and 2
D
Neither 1 nor 2
Correct Answer: Option A
Explanation
1. **Analyze the Setup**: The cuboid has dimensions $7 \times 5 \times 3$. It is cut into 1 cm cubes.
2. **Evaluate Statement 1 (Unpainted Cubes)**:
- We need to find the numbe