Choose the box that is similar to the box formed from the given sheet of paper…

2025

Choose the box that is similar to the box formed from the given sheet of paper (A).

(A)

  1. A.

    Option 1, 2 and 3

  2. B.

    Option 1, 2 and 4

  3. C.

    Option 2 and 3

  4. D.

    Option 2, 3 and 4

Show answer & explanation

Correct answer: D

Concept: In a cube net, two faces separated by exactly one blank square in a straight line become OPPOSITE faces once the sheet is folded, and every face keeps the same rotation relative to its folded neighbours — a face can never appear turned or mirrored in a picture of the finished cube.

Application: Applying this to sheet (A):

  1. The four-part symbol face sits one blank square away from a blank face along the net, so that symbol face and this blank face are OPPOSITE faces of the cube.

  2. The face carrying the small square (□) mark similarly sits opposite a second blank face.

  3. The two faces that remain blank on the net fold to sit opposite each other, so the finished cube can never show two blank faces side by side unless one of them is really a neighbour — not the opposite twin — of the symbol face or the square face.

  4. Checking each candidate box (1)-(4) against these three opposite-pairs and against the fixed rotation of the four-part symbol face: figures (2), (3) and (4) all keep that face in the rotation the net produces, while figure (1) shows it turned to a rotation the net cannot give.

Cross-check: Re-tracing the fold from sheet (A) with the three opposite-pairs fixed confirms figures (2), (3) and (4) as genuine views of the same cube, and rules out figure (1) as a fold of this net.

Result: Hence the boxes similar to the one formed from sheet (A) are figures (2), (3) and (4).

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