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Volume of Triangular Prism Demo

Volume of Triangular Prism Demo
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2016-08-14 12:19
PolygonSolid GeometryGeometric Construction
This example demonstrates how to calculate the volume of a triangular prism using GeoGebra. It involves core math concepts like volume formulas, polygon construction, vector operations, and spatial geometry. Key GeoGebra commands and objects used in the construction include Polygon, Point, Vector, Translate, Segment, Prism, OrthogonalLine, Intersect, and Angle. Suitable for high school geometry teaching or exploration by math enthusiasts.

GeoGebra Commands & Parameters

  1. Polygon(B, A, C) → poly1, b, a, c
  2. Point(zAxis) → D_2
  3. Point(yAxis) → E_2
  4. Vector(D_2, E_2) → u
  5. Translate(B, u) → E
  6. Translate(C, u) → F
  7. Translate(A, u) → D
  8. Segment(E, F) → f
  9. Segment(D, F) → g
  10. Segment(D, E) → h
  11. Segment(C, F) → i
  12. Point(i) → F_1
  13. Vector(C, F_1) → v
  14. Vector(C, B) → w
  15. Translate(F_1, w) → E_1
  16. Prism(poly1, E_1) → d, D_1, edgeG'H, edgeHI, edgeG'I, I, faceABG'H, faceACIH, faceBCIG', faceG'HI, edgeBG', edgeAH, edgeCI
  17. Segment(B, E) → j
  18. Segment(A, D) → k
  19. OrthogonalLine(A, c, space) → l
  20. Intersect(l, c) → N
  21. Segment(A, N) → m
  22. Segment(N, C) → n
  23. Angle(C, N, A) → α
  24. Point(m) → G
  25. Polygon(H, J, K, L) → poly2, h_1, j_1, k_1, l_1