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Adjustable Triangular Prism by Tim Brzezinski

Adjustable Triangular Prism by Tim Brzezinski
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2016-03-01 04:14
PolygonVectorSolid GeometryGeometric Construction
In collections Area, Surface Area, Volume, Cross Section, 3D Geometry: Surface Area & Volume Geometry: Surface Area & Volume Geometry: Surface Area & Volume GA Chapter 11: Surface Area and Volume Surface nets 6th Grade Surface Area & Volume Surface Area & Volume
This example demonstrates a virtual and modifiable triangular prism to help students conceptually grasp geometric terms like 'total surface area'. It involves core concepts in solid geometry, polygon properties, and surface area calculation. Constructed using commands like Point, Ray, Polygon, Vector, Translate, OrthogonalLine, Intersect, Angle, Segment in GeoGebra. Suitable for high school geometry teaching or student exploration.

GeoGebra Commands & Parameters

  1. Point(g) → D
  2. Ray(C, D) → f
  3. Point(f) → F
  4. Ray(A, B) → e
  5. Point(e) → E
  6. Polygon(A, F, E) → poly1, c, h, i
  7. Vector(A, C) → v
  8. Translate(B, v) → B'_2
  9. Vector(A, (0, 0, (-d))) → u
  10. Translate(poly1, u) → poly1'
  11. Translate(A, u) → A'
  12. Translate(D, u) → D'
  13. Translate(E, u) → E'
  14. Translate(F, u) → F'
  15. Polygon(E, E', F', F) → poly2, e_1, e', f', f_1
  16. OrthogonalLine(F, j, xOyPlane) → k
  17. Intersect(j, k) → G
  18. Angle(E, G, F, xOyPlane) → α
  19. Segment(F, G) → l
  20. Polygon(A', A, F, F') → poly3, a', a_1, f_2, f'_1
  21. Point(i) → H
  22. Polygon(E', E, A, A') → poly4, e'_1, e_2, a_2, a'_1
  23. Translate(F, u) → F'_1
  24. Translate(G, u) → G'
  25. Segment(F'_1, G') → l'
  26. Translate(A, u) → A'_1
  27. Translate(F, u) → F'_2
  28. Translate(F, u) → F'_3
  29. Translate(E, u) → E'_1
  30. Translate(E, u) → E'_2
  31. Translate(A, u) → A'_2