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Triangular Prism Construction

Triangular Prism Construction
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2019-02-11 07:20
TriangleSolid GeometryGeometric Construction
This example demonstrates the construction of a triangular prism. Key mathematical concepts include the definition and properties of prisms in solid geometry. Using GeoGebra commands such as Line, Point, Intersect, and Polygon, the various faces and edges of the prism can be constructed. Suitable for high school students and teachers for teaching and learning solid geometry.

GeoGebra Commands & Parameters

  1. Line(A, xAxis) → a
  2. Line(A, yAxis) → b
  3. Point(a) → B
  4. Point(b) → D
  5. Line(B, b) → h
  6. Line(D, a) → i
  7. Intersect(h, i) → C
  8. Polygon(A, B, C, D) → base, a_1, b_1, c, d
  9. OrthogonalLine(A, base) → e
  10. Point(e) → E
  11. Prism(base, E) → f, F, edgeBF_1, edgeCG, edgeDH, edgeEF_1, edgeFG_1, edgeGH, edgeEH, G, H, faceABFE, faceBCGF, faceCDHG, faceADHE, faceEFGH, edgeAE
  12. Pyramid(Polygon[A, B, C, D], F) → uno, faceABF, faceBCF, faceCDF_1, faceADF_1, edgeAF_1, edgeBF, edgeCF_1, edgeDF_1
  13. Pyramid(Polygon[D, C, G, H], F) → due, faceCDF, faceCFG, faceFGH, faceDFH_1, edgeDF_2, edgeCF, edgeFG, edgeFH_1
  14. Pyramid(Polygon[A, D, H, E], F) → tre, faceADF, faceDFH, faceEFH, faceAEF, edgeAF, edgeDF, edgeFH, edgeEF
  15. Sphere(I, J) → g
  16. PointIn(g) → K
  17. PointIn(g) → L
  18. PointIn(g) → M
  19. Vector(I, K) → u
  20. Vector(I, L) → v
  21. Vector(I, M) → w
  22. Translate(uno, u) → uno'
  23. Translate(due, v) → due'
  24. Translate(tre, w) → tre'
  25. Volume(uno) → v1
  26. Volume(due) → v2
  27. Volume(tre) → v3
  28. Volume(f) → vp

AI Drawing Prompt Reference

Draw a triangular prism by first creating a triangular base, then extending the base's vertices upward to form the top face, connecting corresponding vertices to create the lateral faces. Add three pyramids inside the prism to form a bipyramid structure, and label the volumes of the base and each pyramid.
The prompt above was compiled from the original drawing commands and is for reference only.