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Prism Volume Calculation Demo

Prism Volume Calculation Demo
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2018-08-29 16:23
TrigonometrySolid GeometryGeometric Construction
This example demonstrates the calculation of prism volume, involving core concepts like volume formulas, similar triangles, cosine theorem, and vector operations. It uses GeoGebra commands such as Point, Segment, Line, Intersect, Vector, Polygon, and Sequence. Suitable for high school solid geometry education, enhancing spatial understanding and computational skills.

GeoGebra Commands & Parameters

  1. Point(xAxis) → A
  2. Point(yAxis) → B
  3. Segment(A, B) → f
  4. Line(B, f) → g
  5. Line(B, f) → h
  6. Intersect(xAxis, yAxis) → C
  7. Line(C, f) → i
  8. Point(i) → D
  9. Segment(E, F) → j
  10. Line(E, j) → k
  11. Vector(C, F) → u
  12. Point(k) → H
  13. Polygon(G, H, I, J) → q1, g_1, h_1, i_1, j_1
  14. Point(k) → K
  15. Polygon(K, L, I, H) → q2, k_1, l_2, i_2, h_2
  16. Polygon(L, M, J, I) → q3, l_1, m, j_2, i_3
  17. Point(yAxis) → N
  18. Vector(C, N) → v
  19. Point(i) → O
  20. Vector(C, O) → w
  21. Sequence(Translate[Element[L_1, 1], Vector[(i * v)]], i, 1, t - 1) → L_5
  22. Sequence(Translate[Element[L_2, 1], Vector[(i * v)]], i, 1, t - 1) → L_6
  23. Sequence(Translate[Element[L_4, 1], Vector[(i * u)]], i, 1, p - 1) → L_9
  24. Sequence(Translate[Element[L_3, 1], Vector[(i * w)]], i, 1, l - 1) → L_10
  25. Sequence(Translate[L_3, Vector[(v * i)]], i, 1, t - 1) → L_11
  26. Sequence(Translate[L_10, Vector[(v * i)]], i, 1, t - 1) → L_12
  27. Sequence(Translate[L_4, Vector[(v * i)]], i, 1, t - 1) → L_13