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Triangular Prism - Surface Area and Volume by andreacheng

Triangular Prism - Surface Area and Volume by andreacheng
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2016-04-28 13:11
TriangleSolid GeometryGeometric Construction
This example demonstrates the calculation of surface area and volume for a triangular prism. It involves core mathematical concepts such as polygon area, solid geometry volume, and spatial geometric relationships. Construction highlights include using GeoGebra commands like Circle, Point, Ray, Intersect, Segment, OrthogonalLine, Polygon, Vector, Translate, Angle, and Textfield. Suitable for high school geometry teaching or self-study to visually understand geometric body calculations.

GeoGebra Commands & Parameters

  1. Circle(A, a, xOyPlane) → d
  2. Point(e) → B
  3. Ray(A, B) → f
  4. Intersect(e, f) → C
  5. Intersect(e, f) → D
  6. Intersect(f, d) → E, F
  7. Segment(A, E) → g
  8. Circle(A, b, xOyPlane) → k
  9. Circle(E, c, xOyPlane) → p
  10. Intersect(k, p) → G, H, ,
  11. OrthogonalLine(G, g, xOyPlane) → i
  12. Intersect(i, g) → I
  13. Segment(A, G) → j
  14. Segment(G, E) → l
  15. Segment(G, I) → m
  16. Polygon(A, G, E) → poly1, e_1, a_1, g_1
  17. Vector(A, (0, 0, (-h))) → u
  18. Translate(poly1, u) → poly1'
  19. Translate(G, u) → G'
  20. Translate(E, u) → E'
  21. Segment(G', E') → l'
  22. Translate(A, u) → A'
  23. Translate(G, u) → G'_1
  24. Segment(A', G'_1) → j'
  25. Translate(A, u) → A'_1
  26. Translate(E, u) → E'_1
  27. Segment(A'_1, E'_1) → g'
  28. Translate(G, u) → G'_2
  29. Translate(I, u) → I'
  30. Segment(G'_2, I') → m'
  31. Angle(E, I, G, xOyPlane) → α
  32. Polygon(E, E', G', G) → poly2, e_2, e', g'_1, g_2
  33. Polygon(A, A', G', G) → poly3, a_2, a', g'_2, g_3
  34. Polygon(A, A', E', E) → poly4, a_3, a'_1, e'_1, e_3
  35. Segment(G, G') → n
  36. Segment(E, E') → q
  37. Segment(A', A) → r
  38. Angle(E', I', G'_1) → β
  39. Textfield(a) → InputBox1
  40. Textfield(b) → InputBox2
  41. Textfield(c) → InputBox3
  42. Textfield(h) → InputBox4