A net is a 3D shape unfolded flat — and deciding whether a net folds correctly is a favourite exam puzzle. This lesson teaches the face-count check and the mental folding trick.
The net must have exactly as many shapes as the solid has faces — 6 squares for a cube.
Pick a base, fold the neighbours up, and check nothing overlaps.
Cylinder: 2 circles + 1 rectangle. Square-based pyramid: 1 square + 4 triangles.
What solid does each net make?
Count first! A net with 5 squares can never make a cube — a cube needs exactly 6 faces.
Careful! Six squares in a 2×3 grid do NOT fold into a cube — faces overlap. Mentally fold to check.
Check edges! In a cuboid net, faces that fold together must share edges of the same length.
A flat (2D) arrangement of shapes that folds up to make a 3D solid — like a cardboard box opened out flat.
Eleven different arrangements of six squares fold into a cube. Many other six-square arrangements don't work because faces overlap.
Count the faces first, then mentally fold: fix one shape as the base and fold the neighbours up one at a time, watching for overlaps and gaps.
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