Observe the dots on a dice (one to six dots) in the figures shown in image_146f63.png. How many dots are contained on the face opposite to that containing four dots?
- A2
- B3
- C6
- DCannot be determined
Solution & Step-by-step Explanation
To find the face opposite to the face containing 4 dots, we compare the two positions of the dice given in image_146f63.png:
1. In the first position (top figure), the visible faces contain 1 dot, 2 dots, and 5 dots.
2. In the second position (bottom figure), the visible faces contain 1 dot, 4 dots, and 5 dots.
Comparing both positions, we observe that the faces with 1 dot and 5 dots are common to both dice views.
According to the rules of dice, when two different positions of the same dice have two faces in common, the remaining uncommon faces on both dice are directly opposite to each other.
Therefore, the face containing 2 dots is opposite to the face containing 4 dots.
1. In the first position (top figure), the visible faces contain 1 dot, 2 dots, and 5 dots.
2. In the second position (bottom figure), the visible faces contain 1 dot, 4 dots, and 5 dots.
Comparing both positions, we observe that the faces with 1 dot and 5 dots are common to both dice views.
According to the rules of dice, when two different positions of the same dice have two faces in common, the remaining uncommon faces on both dice are directly opposite to each other.
Therefore, the face containing 2 dots is opposite to the face containing 4 dots.