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Rectangular Pyramid by GeoGebra Materials Team

Rectangular Pyramid by GeoGebra Materials Team
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2012-05-03 19:40
Solid GeometryTransformationGeometric Construction
In collections Area, Surface Area, Volume--Nets
This example demonstrates the construction of a rectangular pyramid. Key mathematical concepts include the definition of a pyramid in solid geometry, geometric construction, and transformations. Using GeoGebra commands such as Dilate, Vector, and Polygon, the height, base length, and width of the pyramid can be dynamically displayed. Suitable for students at the junior high school level and above.

GeoGebra Commands & Parameters

  1. Dilate(F, height, E) → G
  2. Vector(E, G) → u
  3. Dilate(I, length, H) → L
  4. Vector(H, L) → v
  5. Circle(J, width) → g
  6. Line(J, K) → h
  7. Intersect(g, h, 1) → M
  8. Vector(J, M) → w
  9. Translate(A, v) → B
  10. Translate(A, Vector[w / 2]) → C
  11. Translate(C, v) → D
  12. Midpoint(C, B) → N
  13. Translate(N, u) → O
  14. Polygon(A, B, D, C) → P, a, b, d, c
  15. Polygon(O, C, D) → Q, d_1, o, c_1
  16. Polygon(O, A, C) → R, c_2, o_1, a_1
  17. Polygon(O, D, B) → S, b_1, o_2, d_2
  18. Polygon(O, A, B) → T, b_2, o_3, a_2
  19. Midpoint(B, D) → U
  20. Segment(O, N) → e
  21. Segment(O, U) → f
  22. Midpoint(O, U) → W
  23. Midpoint(O, N) → V
  24. Midpoint(A, B) → Y
  25. If(height ≤ 5, C) → Z
  26. Segment(Z, O) → i
  27. Segment(Z, A) → j
  28. If(VolumeFormula ≟ 1, A_1) → E_1
  29. If(SurfaceAreaFormula ≟ 1, C_1) → G_1
  30. If(VolumeSolution ≟ 1, B_1) → F_1
  31. If(SurfaceAreaSolution ≟ 1, D_1) → H_1