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Surface Area Net

Surface Area Net
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2015-06-10 01:59
PolygonFunctionSolid GeometryGeometric Construction
This example demonstrates how to unfold the surface area of a 3D solid figure (like a cube) into a 2D plane. It involves core math concepts such as surface area calculation, polygon construction, similarity transformation, and quadratic functions. The construction uses commands like Polygon and Point to create points and polygons. Suitable for high school students learning solid geometry and analytical geometry, or for mathematical teaching demonstrations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D) → poly1, a, b, c, d
  2. Polygon(A, E, D) → poly2, d_1, a_1, e
  3. Polygon(B, F, C) → poly3, c_1, b_1, f
  4. Polygon(A, G, B) → poly4, b_2, a_2, g
  5. Polygon(D, H, I, C) → poly5, d_2, h, i, c_2
  6. Point(i) → M
  7. Polygon(C, J, L, M) → poly6, c_3, j, l, m
  8. Point(d_2) → O
  9. Polygon(H, K, N, O) → poly7, h_1, k, n, o
  10. Point(k) → R
  11. Polygon(N, P, Q, R) → poly8, n_1, p, q, r
  12. Point(j) → U
  13. Polygon(L, S, T, U) → poly9, l_1, s, t, u
  14. Point(p) → Z
  15. Polygon(P, V, W, Z) → poly10, p_1, v, w, z_1
  16. Polygon(V, A_1, B_1, W) → poly11, v_1, a_3, b_3, w_1
  17. Point(s) → E_1
  18. Polygon(T, C_1, D_1, E_1) → poly12, t_1, c_4, d_3, e_1
  19. Polygon(C_1, F_1, G_1, D_1) → poly13, c_5, f_1, g_1, d_4
  20. Polygon(H, M, H_1, I_1) → poly14, h_2, m_1, h_3, i_1
  21. Polygon(M, J_1, H_1) → poly15, h_4, m_2, j_1
  22. Polygon(H, K_1, I_1) → poly16, i_2, h_5, k_1
  23. Polygon(I_1, H_1, L_1) → poly17, l_2, i_3, h_6