Question

Which letter will be on the side opposite to A ? 

 

• A. B
• B. C
• C. D
• D. E
• E. F

Hint:

In any cube net, opposite faces can never share an edge or a corner. If you can trace a path from one face to another by moving just one square in a straight line, those two squares are opposite.

Answer 1

The Correct Option is B

Step 1: Understanding the Question:
We are given a 2D net of a cube. We need to determine which face (letter) will be opposite to the face with the letter 'A' when the net is folded into a cube.
Step 2: Key Formula or Approach:
In any standard net of a cube, faces that are on opposite sides are separated by one face in a straight line. This is the "alternate faces" rule. We can identify pairs of opposite faces by finding alternate faces in any straight row or column of three or more squares.
Step 3: Detailed Explanation:
Let's apply the alternate faces rule to the given net.
1. Consider the vertical column of three faces: F, E, and B.
According to the rule, the alternate faces in this column are F and B. They are separated by face E.
Therefore, F is opposite to B.
2. Now consider the long L-shaped strip of faces: F, E, B, C. Let's think of it as a straight line for a moment. If we consider E, B, C as a straight sequence, the alternate faces are E and C. They are separated by face B.
Therefore, E is opposite to C.
3. We have now identified two pairs of opposite faces: (F, B) and (E, C).
A cube has six faces in total, which form three pairs of opposite faces. The letters on the net are A, B, C, D, E, F.
The remaining two letters must form the third opposite pair. The remaining letters are A and D.
Therefore, A is opposite to D.
Step 4: Final Answer:
The letter on the side opposite to A is D.