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Surface Area of Cube and Cuboid by IT for Change (2)

Surface Area of Cube and Cuboid by IT for Change (2)
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2018-05-15 18:24
VectorSolid GeometryGeometric Construction
This example demonstrates the calculation of surface area for cubes and cuboids. Key math concepts include surface area formulas for geometric solids and methods for constructing 3D shapes. Construction highlights using GeoGebra commands/objects from the summary: Vector, Translate, Polygon, Line, Intersect, Midpoint; objects like length, width, height, A, B, C, D, u, v, w, E, E', z, E'_1, E'_2, F, G, poly1, f, e'_2, e, e', poly2, e_1, e'_1, g, e'_3, d, h, H, poly3, f_1, e'_4, g_1, h_1, I, J, K, L, M. Suitable for middle school and above learning solid geometry and surface area calculations.

GeoGebra Commands & Parameters

  1. Vector(A, B) → u
  2. Vector(A, C) → v
  3. Vector(A, D) → w
  4. Translate(E, Vector[(ऊंचाई * u)]) → E'
  5. Vector(E, E') → z
  6. Translate(E, Vector[(चौड़ाई * w)]) → E'_1
  7. Translate(E, Vector[(लम्बाई * v)]) → E'_2
  8. Translate(E'_2, Vector[(ऊंचाई * u)]) → F
  9. Translate(E'_1, Vector[(ऊंचाई * 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