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Pentagonal Prism Construction and Geometry Demo

Pentagonal Prism Construction and Geometry Demo
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2016-04-15 08:50
Solid GeometryCalculusGeometric Construction
This example demonstrates a pentagonal prism constructed in GeoGebra, showcasing its 3D geometric structure and properties. Key math concepts involved include prism volume calculation, upper and lower sums (Riemann sums), median line, right triangles, difference, and slope. The construction uses commands like Polygon, Prism, and Net, along with points, lines, and faces. Suitable for high school solid geometry education, helping students understand prism characteristics and volume computation methods.

GeoGebra Commands & Parameters

  1. Polygon(A, B, 5) → poly1, a, b, c, d, e, C, D, E
  2. Prism(poly1, 12) → f, F, faceAEJF, faceFGHIJ, edgeAF, edgeBG, edgeCH, edgeDI, edgeEJ, edgeFG, edgeGH, edgeHI, G, edgeIJ, edgeFJ, H, I, J, faceABGF, faceBCHG, faceCDIH, faceDEJI
  3. Net(f, g) → h, K, T, U, V, W, Z, A_1, B_1, C_1, D_1, faceKLMNO, L, faceKLQP, faceLMSR, faceMNUT, faceNOWV, face1, face2, edgeKL, edgeLM, edgeMN, edgeNO, M, edgeKO, edgeKP, edgePQ, edgeLQ, edgeLR, edgeRS, edgeMS, edgeMT, edgeTU, edgeNU, N, edgeNV, edgeVW, edgeOW, edgeOZ, edge4, edge1, edge3, edge5, edge6, edge2, O, P, Q, R, S