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Prism Volume Calculation by Sugeng Suprayogi

Prism Volume Calculation by Sugeng Suprayogi
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2018-08-31 05:47
Solid GeometryGeometric Construction
This example demonstrates how to calculate the volume of a prism using geometric construction. Key mathematical concepts include the volume calculation in solid geometry. Using GeoGebra commands such as Point, Line, Polygon, users can visually understand the method of calculating the volume of a prism. Suitable for high school students and teachers.

GeoGebra Commands & Parameters

  1. Point(xAxis) → A
  2. Point(yAxis) → B
  3. Line(B, A) → f
  4. Intersect(xAxis, yAxis) → C
  5. Line(D, C) → g
  6. Line(E, C) → h
  7. Point(h) → F
  8. Vector(C, F) → u
  9. Point(yAxis) → N
  10. Vector(C, N) → v
  11. Point(g) → O
  12. Vector(C, O) → w
  13. Polygon(J, I, L, M) → q1, l_2, k, n, m
  14. Polygon(J, G, H, I) → q2, l_1, i, j, k_1
  15. Polygon(H, K, L, I) → q3, j_1, o, n_1, k_2
  16. Sequence(Translate[Element[L_{1}, 1], Vector[(k * v)]], k, 1, t - 1) → l_{5}
  17. Sequence(Translate[Element[L_{2}, 1], Vector[(k * v)]], k, 1, t - 1) → L_{6}
  18. Sequence(Translate[Element[L_4, 1], Vector[(j_1 * u)]], j_1, 1, p - 1) → L_{9}
  19. Sequence(Translate[Element[L_{3}, 1], Vector[(i * w)]], i, 1, l - 1) → L_{10}
  20. Sequence(Translate[L_{3}, Vector[(v * k)]], k, 1, t - 1) → L_{11}
  21. Sequence(Translate[L_{10}, Vector[(v * k)]], k, 1, t - 1) → L_{12}
  22. Sequence(Translate[L_4, Vector[(v * k)]], k, 1, t - 1) → L_{13}