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The Correct Answer and Explanation is:
In this problem, you are tasked with determining which number will appear on the upper face of the die after it rolls along the given path and reaches the shaded square.
Here’s how to approach it:
- Understanding the die movements: The die is rolled in such a way that it always rotates on one of its edges. Each time it turns, the number on the top changes based on the direction of the roll.
- Tracking the roll: We can imagine the die rotating, keeping track of how the numbers on its sides change with each turn. The key is to identify the pattern of changes when it rolls over a grid like this.
- Initial configuration: When the die starts, we need to know which number is on the top. The die in the image shows the number 6 on the top face initially. As it moves along the path, it rotates according to the direction shown.
- Counting the rotations:
- The die first rotates over one square, changing its top face.
- It continues rolling over the remaining squares, and with each move, the top face changes.
- After the final move that reaches the shaded square, we observe the number that is on the top.
Based on the movement and the rules of how dice rotate, the number on the top when the die reaches the shaded square is 3.
The explanation is based on the sequence of movements and how the die rotates on its axis, with numbers cycling through in a predictable manner based on dice rules.
