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

Note: The figures shown are representative.

A cross-shaped net of six squares: a middle row of four squares, blank, open triangle, blank, filled triangle; a filled circle above the open-triangle square and an open circle below it

  • A.Cube with the open triangle on the front face and a filled circle on top; right face blank
  • B.Cube with the open triangle on the front face, top blank and a filled triangle on the right face
  • C.Cube with the open triangle on the front face; top and right faces blank
  • D.Cube with the open triangle on the front face, a filled triangle on top and a filled circle on the right face

Answer: A

The correct cube is (A).

Fold the net around the square with the open triangle. The squares directly above and below it, the filled circle and the open circle, become two of its neighbouring faces, opposite each other. In the row of four, alternate squares are opposite faces: the open triangle is opposite the filled triangle, and the two blank squares are opposite each other.

Cube (A) shows the open triangle in front, the filled circle on top and a blank face on the right. All three are mutual neighbours in the net, so this view is possible.

Cube (B) shows the filled triangle beside the open triangle, but those two faces are opposite. Cube (D) has the filled triangle on top of the open triangle, the same impossibility. Cube (C) shows two blank faces meeting at an edge, but the two blank squares are opposite each other.

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