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Trapezoidal Prism Surface Area

Trapezoidal Prism Surface Area
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2019-08-15 04:57
PolygonSolid GeometryGeometric Construction
This example demonstrates how to calculate the surface area of a trapezoidal prism. Key math concepts include polygon area, prism structure, and geometric construction. GeoGebra commands like Polygon, Segment, Intersect, and Midpoint are used, along with objects such as angles α, side lengths a, heights h, etc. Suitable for middle school and above students learning solid geometry and surface area calculations.

GeoGebra Commands & Parameters

  1. Polygon(A, E, H, D) → poly1, a_1, e, h_1, d
  2. Polygon(E, F, G, H) → poly2, e_1, f, g, h_2
  3. Polygon(I, B, C, J) → poly3, i, b_1, c, j
  4. Polygon(A, K, L, B) → poly4, a_2, k, l, b_2
  5. Polygon(M, N, C, D) → poly5, m, n, c_1, d_1
  6. Segment(G, H) → p
  7. Segment(H, D) → q
  8. Segment(C, J) → f_1
  9. Segment(F, E) → g_1
  10. Segment(E, A) → i_1
  11. Segment(B, I) → m_1
  12. Segment(D, C) → r
  13. Segment(A, B) → s
  14. Intersect(b_1, f_1) → O
  15. Intersect(d, r) → P
  16. Polygon(D, A, B, C) → poly6, d_2, a_3, b_3, c_2
  17. Midpoint(j) → Q
  18. Polygon(R, S, T, U) → poly7, r_1, s_1, t_1, u_1