A paper shown in Panel I is folded along the dashed lines (- - -) to construct…

2026

A paper shown in Panel I is folded along the dashed lines (- - -) to construct a cube. The shaded regions shown in Panel I appear on the outer surface of the cube. Referring to cubes shown in Panel II, which one of the options is correct?

Panel I shows a shaded cube net with dashed fold lines; Panel II shows two labelled candidate cubes, (i) and (ii).

Answer: B. Only (ii) can correspond to the unfolded cube in Panel I.Folding the net pairs opposite faces as follows: the central striped face and the half-shaded face; the triangular face and the lower striped face; the…

  1. A.

    Only (i) can correspond to the unfolded cube in Panel I.

  2. B.

    Only (ii) can correspond to the unfolded cube in Panel I.

  3. C.

    Both (i) and (ii) can correspond to the unfolded cube in Panel I.

  4. D.

    Neither (i) nor (ii) can correspond to the unfolded cube in Panel I.

Attempted by 15 students.

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Correct answer: B

Folding the net pairs opposite faces as follows: the central striped face and the half-shaded face; the triangular face and the lower striped face; the L-shaped face and the quarter-shaded face.

In (i), the displayed front and right faces require the lower striped face on top, with its stripe running front to back. The drawing instead shows a stripe running left to right.

In (ii), the triangular front, quarter-shaded right face and half-shaded top meet with the shading orientations shown.

Therefore, only (ii) corresponds to the net.

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