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Volume of a Prism

Volume of a Prism
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2016-03-02 10:02
PolygonSolid GeometryGeometric Construction
This example demonstrates how to calculate the volume of a prism using geometric construction. Key mathematical concepts include the definition and volume formula of a prism. It utilizes commands such as Polygon, PointIn, Vector, Translate, Segment, and Intersect in GeoGebra. Suitable for middle school and above students learning solid geometry.

GeoGebra Commands & Parameters

  1. Polygon(A_1, B_1, C_1, D_1) → poly6, a_1, b_1, c_1, d_1
  2. Polygon(M, N, O, P) → poly3, m, n, o, p
  3. Polygon(U, V, W, Z) → poly5, u_1, v, w, z_1
  4. Polygon(Q, R, S, T) → poly4, q, r, s, t
  5. Polygon(I, J, K, L) → poly2, i_1, j_1, k_1, l
  6. PointIn(poly2) → B
  7. PointIn(poly4) → A
  8. PointIn(poly5) → D
  9. PointIn(poly3) → C
  10. Polygon(A, B, C, D) → poly1, a, b, c, d
  11. PointIn(poly6) → E
  12. Vector(C, E) → u
  13. Translate(D, u) → F
  14. Segment(D, F) → e
  15. Translate(A, u) → G
  16. Translate(B, u) → H
  17. Segment(E, F) → f
  18. Segment(F, G) → g
  19. Segment(G, H) → h
  20. Segment(H, E) → i
  21. Segment(A, G) → j
  22. Segment(B, H) → k
  23. Segment(C, E) → e_1
  24. Intersect(e, f) → E_1
  25. Polygon(C, D, E_1, E) → poly7, c_2, d_2, e_2, e_3
  26. Polygon(F, G, H, E) → poly8, f_2, g_1, h_1, e_4
  27. Polygon(G, A, B, H) → poly9, g_2, a_2, b_2, h_2
  28. Polygon(H, B, C, E) → poly10, h_3, b_3, c_3, e_5