Which cube (A, B, C or D) can be made by folding the given net?

Concept

A cube has 6 faces; every face has exactly ONE opposite face and four faces adjacent to it. When a flat net is folded, two faces that lie two steps apart along a straight strip end up on opposite sides of the cube, and opposite faces can NEVER be seen sharing a single corner. So the test is simple: find the opposite pairs from the net, then reject any cube that shows two opposite designs together.

Applying it to this net

The four designs in the central strip wrap around the cube as a band, so the ends of the band meet. Reading the strip and the two flaps gives these opposite pairs:

• Two-tulip (crocus) face is opposite the rose

• Dandelion face is opposite the four-leaf clover

• Pinwheel flower (top flap) is opposite the single tulip (bottom flap)

Cross-check every cube

1. The cube showing the rose beside the two-tulip design pairs two OPPOSITE faces – impossible.

2. The cube showing the four-leaf clover beside the dandelion pairs two OPPOSITE faces – impossible.

3. The cube showing the pinwheel beside the single tulip pairs two OPPOSITE faces – impossible.

4. The remaining cube shows the rose, the single tulip and the four-leaf clover. No two of these three are an opposite pair, so all three can meet at a single corner once the net is folded – this is the cube the net forms.

Result: the net folds into the cube showing the rose on top with the single tulip and the four-leaf clover on its two side faces.