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Volume of Pyramid & Rectangular Prism by Ooi Soo Huat

Volume of Pyramid & Rectangular Prism by Ooi Soo Huat
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2017-12-23 15:32
VectorSolid GeometryGeometric Construction
In collections Mathematics Form 2
This example demonstrates the dynamic calculation of the volume of pyramids and rectangular prisms using GeoGebra. It involves core mathematical concepts such as volume formulas, three-dimensional geometry, spatial vectors, and linear transformations. Key GeoGebra commands and objects used include If, Line, Intersect, Vector, Translate, Rotate, SelectedIndex, and objects like d, s_2, h, B, C, etc., for precise construction and transformation. Suitable for high school solid geometry teaching to intuitively understand volume calculation principles and spatial geometric transformations.

GeoGebra Commands & Parameters

  1. If(d > 1, 1, d) → d_1
  2. If(d ≤ 1, 0, d - 1) → d_2
  3. Line(A, xAxis) → f
  4. Line(C, f) → h
  5. Line(B, yAxis) → g
  6. Line(A, g) → i
  7. Intersect(h, i) → D
  8. If(c ≤ 1, 0, c - 1) → c_2
  9. If(c > 1, 1, c) → c_1
  10. If(b ≤ 1, 0, b - 1) → b_2
  11. If(b > 1, 1, b) → b_1
  12. If(a ≤ 1, 0, a - 1) → a_2
  13. If(a > 1, 1, a) → a_1
  14. Vector(B, A) → u
  15. Vector(B, N) → v
  16. Translate(f, v) → k
  17. Rotate(Pyramid[Polygon[A, D, C, B], s_3], 0°, xAxis) → Pir1
  18. Rotate(Pyramid[Polygon[B, C, C_1, B_1], He2], ((a_2 * 90))°, g) → Pir2
  19. Translate(Rotate[Pyramid[Polygon[B, B_4, B_2, B_3], s_3], ((-((e * 180))))°, k], Vector[(e * u)]) → Pir6
  20. Rotate(Pyramid[Polygon[A, B, B'', A_2], He5], (((-d_2) * 90))°, f) → Pir5
  21. Rotate(Prism[Polygon[A, D, C, B], (2 * s_3)], 0°, xAxis) → Prs
  22. Rotate(Pyramid[Polygon[A, A_1, D_1, D], He4], ((-((c_2 * 90))))°, i) → Pir4
  23. Rotate(Pyramid[Polygon[C, D, D_2, C_2], He3], ((b_2 * 90))°, h) → Pir3
  24. SelectedIndex(Bahasa) → nn