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Net of a Cuboid Geometry Demonstration

Net of a Cuboid Geometry Demonstration
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2017-02-24 09:39
PolygonSolid GeometryTransformationGeometric Construction
This example demonstrates the unfolding of a cuboid into a 2D net. Core concepts include solid geometry, surface area, and spatial visualization. Construction utilizes GeoGebra commands like Prism, Net, Polygon, and Point to define faces and edges. Suitable for middle school geometry education to enhance understanding of 3D to 2D transformations and spatial reasoning skills.

GeoGebra Commands & Parameters

  1. Intersect(yAxis, zAxis) → A
  2. Point(yAxis) → B
  3. Point(xAxis) → C
  4. Polygon(A, B, D, C) → poly1, a, b, d, c
  5. Prism(poly1, 3) → e, E, edgeAE, edgeBF, edgeDG, edgeCH, edgeEF, edgeFG, edgeGH, edgeEH, F, G, H, faceABFE, faceBDGF, faceCDGH, faceACHE, faceEFGH
  6. Net(e, f) → g, I, R, S, T, U, V, faceIJKL, faceIJNM, faceJKPO, faceKLRQ, faceILST, J, faceMNUV, edgeIJ, edgeJK, edgeKL, edgeIL, edgeIM, edgeMN, edgeJN, edgeJO, edgeOP, K, edgeKP, edgeKQ, edgeQR, edgeLR, edgeLS, edgeST, edgeIT, edgeNU, edgeUV, edgeMV, L, M, N, O, P, Q