Q.10 Consider a cube made by folding a single sheet of paper of appropriate shape. The interior faces of the cube are all blank. However, the exterior faces that are not visible in the above view may not be blank. Which one of the following represents a possible unfolding of the cube?

Q.10
Consider a cube made by folding a single sheet of paper of appropriate shape.
The interior faces of the cube are all blank. However, the exterior faces that are
not visible in the above view may not be blank.
Which one of the following represents a possible unfolding of the cube?

Introduction

When a cube is unfolded into a two-dimensional layout, it forms a net — a flat arrangement of six connected squares.
In this puzzle, only three sides of the cube are visible:

  • Top face = black
  • Front face = white with a vertical line
  • Right face = plain grey

The remaining faces are hidden and may be blank. Our task is to find which option could fold into this exact cube.

Correct Answer: Option (C)

Option (C) contains exactly:

  • One black face in the correct position
  • One marked white face properly adjacent
  • One grey face next to the marked face
  • Three blank faces

This configuration matches all face adjacency rules of the cube, making (C) the correct unfolding.


Why the Other Options Are Incorrect

Option (A) — Impossible Net

The black and grey faces become opposite each other when folded. The cube requires these two faces to share an edge, so this option cannot form the cube.

Option (B) — Wrong Face Adjacency

The grey face is positioned diagonally instead of touching the front marked face. The marked face also meets the black face incorrectly, making folding impossible.

Option (D) — Incorrect Orientation

The black and marked faces end up touching inappropriate neighbors, and the grey side folds incorrectly. This net will not form the required cube.


Conclusion

Only Option (C) correctly folds to produce:

  • Black top
  • White marked front
  • Grey right
  • Three blank faces

This puzzle strengthens spatial reasoning and understanding of cube net patterns.

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