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Triangular Prism Volume Practice

Triangular Prism Volume Practice
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2012-12-03 08:34
VectorSolid GeometryCalculusGeometric ConstructionSlider Animation
In collections Area and Volume
This example demonstrates interactive volume calculation of a triangular prism through dynamic manipulation. Key math concepts include volume formulas, definite integrals, vector operations, and geometric transformations. GeoGebra commands like Random, Dilate, Vector, Circle, Line, Intersect, Translate, Midpoint, Polygon, Segment, If, AngularBisector, and Text are used in construction. Suitable for high school solid geometry education to enhance understanding of volume computation and spatial visualization.

GeoGebra Commands & Parameters

  1. Random(2, 10) → height
  2. Dilate(F, height, E) → G
  3. Vector(E, G) → u
  4. Random(2, 5) → height_1
  5. Random(2, 10) → base
  6. Dilate(I, base, H) → L
  7. Vector(H, L) → v
  8. Circle(J, height_1) → g
  9. Line(J, K) → h
  10. Intersect(g, h, 1) → M
  11. Vector(J, M) → w
  12. Translate(A, v) → B
  13. Circle(J, 1) → d
  14. Midpoint(A, B) → C
  15. Midpoint(C, A) → D
  16. Translate(D, Vector[w / 2]) → N
  17. Polygon(A, N, B) → P, b, a, n
  18. Translate(A, u) → A'
  19. Translate(N, u) → N'
  20. Translate(B, u) → B'
  21. Polygon(A', N', B') → P', b', a', n'
  22. Polygon(A', N', N, A) → Q, a'_1, n'_1, n_1, a_1
  23. Polygon(N', N, B, B') → R, n'_2, n_2, b_1, b'_1
  24. Polygon(B', B, A, A') → S, b'_2, b_2, a_2, a'_2
  25. Segment(N, D) → c
  26. Midpoint(A, A') → O
  27. Midpoint(N, D) → T
  28. If(VolumeFormula ≟ 1, U) → Z
  29. If(VolumeSolution ≟ 1, V) → A_1
  30. AngularBisector(A, N, B) → e
  31. AngularBisector(B, A, N) → f
  32. Intersect(f, e) → W
  33. Translate(W, u) → Y
  34. If(Guess ≟ ans, 1, 0) → addpt
  35. Text(score) → text2
  36. Text(height_1) → text5
  37. Text(base) → text6
  38. Text(height) → text7
  39. Text(try) → text1
  40. Text(pans) → text13