Nets of Solids: Cube, Prism and a Not-Net

Also called

nets of solids · cube net · net of a cube · triangular prism net · net of a prism · fold a cube · unfold a cube · not a net · invalid net · visualising solid shapes · surface area of a cube · 3D shapes from 2D nets

Topics

• a net is a flat arrangement of faces that folds into a closed solid
• folding turns faces about shared edges; it changes orientation, not face shape, edge length or area
• a cube has 6 congruent square faces, 12 edges and 8 vertices
• a triangular prism has 2 congruent triangular faces and 3 rectangular faces
• in a closed solid every free edge of the net meets exactly one partner edge
• surface area is the same in the open net and the closed solid
• six squares are not always a cube net: two squares on the same side of a row of four overlap and leave a face open

About this model

A GLB file of about 1085 KB, shown in Lably's 3D viewer and, on a phone, placed in your room with AR. Credit: Cube-net and triangular-prism layouts measured from "3D shape nets" (Cube-net-A, Triangular-Prism) by Sarah Hayman, Tactiles (tactiles.eu), CC BY-SA 4.0. Hinged panels, the not-a-net layout and all animation authored for Lably. Labels use Droid Sans Bold (Apache 2.0). | CC BY-SA 4.0 (contains layouts derived from CC BY-SA 4.0 Tactiles files, so this model is shared under CC BY-SA 4.0)

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