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Net and Surface Area of Triangular Prism by Tok Hong Da

Net and Surface Area of Triangular Prism by Tok Hong Da
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2016-08-14 13:15
TriangleCoordinate GeometrySolid Geometry
This example demonstrates the net and surface area of a triangular prism. Key mathematical concepts include triangle area, solid geometry, and coordinate geometry. Using GeoGebra commands such as Segment, Point, Distance, and Polygon, the net of the triangular prism and its surface area calculation are visually illustrated. Suitable for middle school and above students to learn geometric construction and solid geometry.

GeoGebra Commands & Parameters

  1. Segment(B, C) → f
  2. Point(f) → N_1
  3. Distance(B, N_1) → BN
  4. Distance(N_1, B) → NB
  5. Distance(N_1, C) → NC
  6. Polygon(A, B, E, D) → poly1, a, b_1, e, d
  7. Polygon(G, C, F, H) → poly2, g, c, f_1, h_1
  8. Polygon(I, B, C) → poly3, c_1, i, b_2
  9. Polygon(J, F, E) → poly4, e_1, j, f_2
  10. Polygon(B, E, F, C) → poly5, b_3, e_2, f_3, c_2
  11. Segment(A, B) → k
  12. Segment(B, C) → l
  13. Segment(G, C) → m
  14. Segment(D, E) → n
  15. Intersect(b_1, n) → K
  16. Segment(E, F) → p
  17. Segment(F, H) → q
  18. Midpoint(h_1) → L
  19. Polygon(M, N, O, P) → poly6, m_1, n_1, o_1, p_1

AI Drawing Prompt Reference

Draw the net and surface area diagram of a triangular prism. Start with a triangular base, then construct three rectangular side faces and two triangular bases, unfolding them flat on the plane. Place a moving point on one edge of the base and measure its distances to the two endpoints to show side lengths. Mark vertices of each polygon in the net and connect relevant segments to form the complete net. Finally, add an auxiliary quadrilateral with four points to represent part of the surface area calculation. The overall figure should clearly show all faces of the prism and their spatial relationships.
The prompt above was compiled from the original drawing commands and is for reference only.