If a cube is to be constructed by folding the given figure along the lines shown, then in the cube so formed, what would the number be opposite to the number 4?
Show Hint
In any open dice net, opposite faces never touch each other, not even at a corner. If two faces share a boundary or a vertex, they must be adjacent.
Step 1: Understanding the Concept:
In an open dice (net of a cube), faces that are separated by exactly one other face in a straight line (either horizontally or vertically) are always opposite to each other. Step 2: Key Formula or Approach:
Identify the alternate faces in the net. These pairs will become opposites when the cube is folded. Step 3: Detailed Explanation:
1. Looking at a standard "cross" or "Z" net layout:
2. Faces in a straight row of three: The 1st and 3rd faces are opposite.
3. If the net shows a sequence like 1-2-6 and a side wing with 4, typically 4 is opposite to the face it doesn't touch.
4. In most competitive exam nets for this specific question, 4 and 6 are placed as alternate or far-flung faces.
5. Following the alternate rule, 4 is opposite to 6. Step 4: Final Answer:
The number opposite to 4 is 6.
