MathPlotAI Logo MathPlotAI

Rectangular Pyramid Construction

Rectangular Pyramid Construction
Loading the math board and drawing, please wait…
2016-02-28 07:42
PolygonVectorSolid GeometryTransformationGeometric Construction
This example demonstrates the construction of a rectangular pyramid. Key mathematical concepts include solid geometry, vector transformations, and polygons. Using GeoGebra commands such as Dilate, Vector, and Polygon, the construction process is dynamically shown. Suitable for high school mathematics education and students learning solid geometry.

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