Faces and Edges of a 3-Cube: A GeoGebra Solid Geometry Demo

① This GeoGebra example constructs a 3D cube and explicitly labels its six square faces and twelve edges, making the fundamental structure of a polyhedron visually clear. ② Core mathematical concepts include solid geometry, properties of a cube, counting faces and edges, and the Euler characteristic (V - E + F = 2) as a concrete instance. ③ Construction highlights: the Cube command generates the solid, while the Midpoint command creates midpoints on edges (objects I through T); faces (faceABCD, faceADHE, etc.) and edges (edgeAD, edgeAB, etc.) are defined as separate objects, allowing individual highlighting or measurement. ④ Suitable for middle school to high school students learning introductory solid geometry, and useful for teachers demonstrating 3D shapes or for students exploring symmetry and topological invariants.