Two different positions of the same dice are given below. Which is the number on the face opposite the face containing 1?
- A2
- B6
- C3
- D4
Solution & Step-by-step Explanation
Let's analyze the adjacent faces of the common number from both dice positions:
* In both views, the face containing the number 6 is positioned on top.
* From Position 1, the faces adjacent to 6 are 2 and 3.
* From Position 2, the faces adjacent to 6 are 4 and 5.
Since a single face on a standard 6-sided dice can only have 4 adjacent faces, the numbers 2, 3, 4, and 5 encompass all possible adjacent sides to 6.
The only remaining number on the cube is 1, which cannot be adjacent to 6. Therefore, the face containing 1 must be directly opposite to the face containing 6.
* In both views, the face containing the number 6 is positioned on top.
* From Position 1, the faces adjacent to 6 are 2 and 3.
* From Position 2, the faces adjacent to 6 are 4 and 5.
Since a single face on a standard 6-sided dice can only have 4 adjacent faces, the numbers 2, 3, 4, and 5 encompass all possible adjacent sides to 6.
The only remaining number on the cube is 1, which cannot be adjacent to 6. Therefore, the face containing 1 must be directly opposite to the face containing 6.