Classic net of a cube

Classic net of a cube
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2014-05-28 16:23
In collections GeoGebra goes 3D
This example demonstrates the classic net of a cube, showing how a three-dimensional cube can be unfolded into a two-dimensional plane figure. The core mathematical concepts involved include polygons, solid geometry, and geometric construction. The construction utilizes GeoGebra commands/objects such as Cube, Net, points A, B, a, C, D, E, F, G, H, faces faceABCD, faceADHE, faceABFE, faceBCGF, faceCDHG, faceEFGH, edges edgeAD, edgeAB, edgeBC, edgeCD, edgeAE, edgeDH, edgeEH, edgeEF, edgeBF, edgeFG, edgeCG, edgeGH, and points b, c, I, J, K, L, M, N, O, P, Q, R, S. This is suitable for middle school and above students learning solid geometry, geometric construction, or for mathematical teaching demonstrations.

GeoGebra Commands & Parameters

  1. Cube(A, B, xOyPlane) → a, C, faceBCGF, faceCDHG, faceEFGH, edgeAD, edgeAB, edgeBC, edgeCD, edgeAE, edgeDH, edgeEH, D, edgeEF, edgeBF, edgeFG, edgeCG, edgeGH, E, F, G, H, faceABCD, faceADHE, faceABFE
  2. Net(a, b) → c, I, R, S, T, U, V, faceIJKL, faceILNM, faceIJRQ, faceJKTS, faceKLVU, J, faceMNOP, edgeIL, edgeIJ, edgeJK, edgeKL, edgeLN, edgeMN, edgeIM, edgeIQ, edgeQR, K, edgeJR, edgeJS, edgeST, edgeKT, edgeKU, edgeUV, edgeLV, edgeNO, edgeOP, edgeMP, L, M, N, O, P, Q