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Surface Area of Cubes and Rectangular Solids

Surface Area of Cubes and Rectangular Solids
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2015-01-28 09:53
Coordinate GeometrySolid GeometryGeometric Construction
In collections Area-Volumen-Algebra-inequalities-Trigonometric
This example demonstrates the calculation of the surface area of cubes and rectangular solids. Key mathematical concepts include geometry and area calculation. Using GeoGebra commands such as Intersect, Point, Polygon, etc., the surface area of cubes and rectangular solids can be constructed. Suitable for middle and high school students learning geometry and area calculation.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Point(xAxis) → B
  3. Point(yAxis) → D
  4. Polygon(A, B, C, D) → Base, a, b, c, d
  5. Point(zAxis) → E
  6. Line(E, xAxis) → e
  7. Line(B, zAxis) → f
  8. Line(C, zAxis) → g
  9. Line(D, zAxis) → h
  10. Intersect(e, f) → F
  11. Line(F, b) → i
  12. Intersect(g, i) → G
  13. Line(E, i) → j
  14. Line(G, e) → k
  15. Intersect(j, k) → H
  16. Polygon(H, D, C, G) → poly1, h_1, d_1, c_1, g_1
  17. Polygon(H, E, F, G) → poly2, h_2, e_1, f_1, g_2
  18. Intersect(zAxis, xOyPlane) → I
  19. Polygon(E, I, D, H) → poly3, e_2, i_1, d_2, h_3
  20. Polygon(B, C, G, F) → poly4, b_1, c_2, g_3, f_2
  21. Polygon(B, A, E, F) → poly5, b_2, a_1, e_3, f_3
  22. PointIn(poly2) → Pointpoly2
  23. PointIn(poly5) → Pointpoly5
  24. PointIn(poly3) → Pointpoly3_1
  25. PointIn(poly3) → Pointpoly3_2
  26. PointIn(poly3) → Pointpoly3_3
  27. PointIn(poly3) → Pointpoly3
  28. PointIn(Base) → PointBase_1
  29. PointIn(Base) → PointBase
  30. Line(C, B) → l
  31. Line(D, C) → m
  32. Point(l) → K
  33. Point(yAxis) → L
  34. Polygon(A, B, K, L) → poly6, a_2, b_3, k_1, l_1
  35. Point(l) → M
  36. Point(yAxis) → N
  37. Polygon(C, M, N, D) → poly7, c_3, m_1, n, d_3
  38. Point(xAxis) → J
  39. Point(m) → O
  40. Point(xAxis) → P
  41. Point(m) → Q
  42. Polygon(D, A, P, Q) → poly9, d_5, a_3, p, q
  43. Point(yAxis) → R
  44. Point(l) → S
  45. Polygon(N, M, S, R) → poly10, n_1, m_2, s, r
  46. Polygon(C, O, J, B) → poly8, c_4, o, j_1, b_4