Cuboid Net Template: From 3D Faces to 2D Unfolding

This example demonstrates how a cuboid’s surface can be unfolded into a 2D cuboid net and how its faces and edges correspond between 3D and the planar layout. It focuses on solid/3D geometry concepts such as prism (cuboid) structure, surface unfolding, and the face–edge matching needed to correctly fold back. Construction-wise, the GeoGebra setup uses Polygon to define the boundary outlines of each unfolded face (e.g., face ADEF, face ABGF, face BCHG, face CDEH, face EFGH, etc.), Prism to create the underlying 3D cuboid from parameters (like l, w, h), and Intersect to compute key intersection points and connection locations during the unfolding. The diagram also tracks named edges such as edgeDE, edgeAF, edgeBG, edgeCH, edgeEF, edgeFG, edgeGH, and edgeEH to maintain consistency across the net. Suitable for middle/high school solid geometry lessons and advanced geometry construction demonstrations where students practice spatial reasoning and verifying net correctness.