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Surface Area of Rectangular Prisms Demo by Joey Lankelma

Surface Area of Rectangular Prisms Demo by Joey Lankelma
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2016-09-20 08:09
PolygonSolid GeometryGeometric Construction
In collections Surface Area and Volume
This example demonstrates how to understand and calculate the surface area of a rectangular prism by viewing its net. Key math concepts include rectangular prisms, surface area, and polygon area calculation. It is constructed using GeoGebra commands like Vector, Translate, Polygon, Line, Intersect, and Midpoint to draw the prism's net and compute face areas. Suitable for middle school students and above learning solid geometry and surface area calculations, or for classroom demonstrations.

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