Question Details

The paper as shown in the figure is folded to make a cube where each square corresponds to the a particular face of the cube. Which one of the following options correctly represents cube?


Note: The figures shown are representative.


Options

A

.

B

C

.

D


Show Answer

Correct Answer :

Option A

.

Solution :

To determine which cube can be formed by folding the given paper net, let us analyze the relative positions of the faces containing the symbols.

1. Identify the Opposite Pairs of Faces:
In a standard net of a cube, faces separated by one square in a straight line (row or column) are opposite to each other. Opposite faces can never be adjacent on the folded cube (they cannot be visible at the same time on adjacent sides).

From the unfolded paper figure:
• The face with the solid dot (•) (top face in column) is opposite to the face with the open circle (○) (bottom face in column).
• The face with the hollow triangle (Δ) (center face) is opposite to the face with the filled triangle (▲) (far right face in row).
• The remaining two blank faces (far left face in row and second face from left in row) are opposite to each other.

2. Determine Opposite Face Summary:
• Pair 1: Solid Dot (•) ↔ Open Circle (○)
• Pair 2: Hollow Triangle (Δ) ↔ Filled Triangle (▲)
• Pair 3: Blank Face ↔ Blank Face

3. Analyze the Options:
Since opposite faces cannot appear adjacent to each other on the cube:
• A valid cube can show the solid dot (•) and hollow triangle (Δ) sharing a common edge alongside a blank face.
• Specifically, looking at the first option : the top face features the solid dot (•), the front face features the hollow triangle (Δ), and the right face is blank. Since these three faces are all adjacent in the unfolded net (the dot is above the hollow triangle and connected directly to a blank side), this represents a correctly folded cube.

Therefore, the correctly folded cube is:

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