From the problem description, we can map out the exact placement of all six numbers:
- Top and Bottom: 5 is at the top, and 6 is at the bottom. This means 5 is opposite to 6.
- Adjacent Sides (Clockwise Order): The numbers 1, 2, 3, and 4 wrap around the remaining four vertical faces in a continuous clockwise circle.
2. Find the Opposite Pairs
Since 1, 2, 3, and 4 form a continuous loop around the sides:
- The face opposite to 1 will be two steps away, which is 3.
- The face opposite to 2 will be two steps away, which is 4.
So, the pairs of opposite faces are:
- 5⟷6
- 2⟷4
- 1⟷3
Conclusion:
Since 3 is opposite to 1, when 3 is placed at the top, its directly opposite number, 1, will be at the bottom.