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Hidden Surface Area

Hidden Surface Area
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2019-08-13 06:47
FunctionCoordinate GeometrySolid Geometry
This example demonstrates how to hide the surface area of a 3D shape. Key mathematical concepts include solid geometry and surface area calculation. Using commands like Vector, Translate, Polygon, Line, Intersect, etc., in GeoGebra, one can construct a 3D shape and hide its surface area. Suitable for high school or university-level solid geometry studies.

GeoGebra Commands & Parameters

  1. Vector(A, B) → u
  2. Vector(A, C) → v
  3. Vector(A, D) → w
  4. Translate(E, Vector[(height * u)]) → E'
  5. Vector(E, E') → z
  6. Translate(E, Vector[(width * w)]) → E'_1
  7. Translate(E, Vector[(length * v)]) → E'_2
  8. Translate(E'_2, Vector[(height * u)]) → F
  9. Translate(E'_1, Vector[(height * u)]) → G
  10. Polygon(F, E'_2, E, E') → poly1, f, e'_2, e, e'
  11. Polygon(E, E'_1, G, E') → poly2, e_1, e'_1, g, e'_3
  12. Line(F, g) → d
  13. Line(G, e') → h
  14. Intersect(d, h) → H
  15. Polygon(F, E', G, H) → poly3, f_1, e'_4, g_1, h_1
  16. Polygon(J, I, K, L) → poly4, j, i, k, l
  17. Polygon(N, J, I, M) → poly5, n, j_1, i_1, m
  18. Polygon(N, P, O, M) → poly6, n_1, p, o, m_1
  19. Polygon(Q, R, N, J) → poly7, q, r, n_2, j_2
  20. Polygon(T, S, I, M) → poly8, t, s, i_2, m_2
  21. Polygon(V, U, O, P) → poly9, v_1, u_1, o_1, p_1
  22. Midpoint(e'_2) → W
  23. Midpoint(e_1) → Z
  24. Midpoint(e'_1) → A_1
  25. Midpoint(v_1) → B_1
  26. Midpoint(u_1) → C_1
  27. Midpoint(o) → D_1
  28. Midpoint(m_2) → E_1
  29. Midpoint(t) → F_1