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Square Base Pyramid (Volume and Surface Area)

Square Base Pyramid (Volume and Surface Area)
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2016-05-16 14:01
Solid Geometry
This example demonstrates a square base pyramid, focusing on volume and surface area calculations. Using GeoGebra commands such as Segment, Polygon, LineBisector, etc., a geometric model of the pyramid is constructed. Suitable for middle school students, this example helps in understanding the concepts of solid geometry, volume, and surface area.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a_1
  2. Polygon(A, B, 4) → Base, b, c, d, e, C, D
  3. LineBisector(D, A) → f
  4. LineBisector(B, A) → g
  5. Intersect(f, g) → E
  6. Pyramid(Base, Height) → Volume, F, faceABF, faceBCF, faceCDF, faceADF, edgeAF, edgeBF, edgeCF, edgeDF
  7. Net(Volume, Net) → n_1, W, face1, face3, face4, face2, edgeWZ, edge4, edge7, edge1, edge2, edge5, Z, edge6, edge8, edge9, edge10, edge11, edge3, A_1, B_1, C_1, D_1, E_1, F_1, face5
  8. PointIn(Base) → Pointpoly1_1
  9. PointIn(Base) → Pointpoly1
  10. PointIn(Base) → PointBase_1
  11. Distance(C, B) → distanceCB
  12. PointIn(face3) → Pointface3_1
  13. LineBisector(C, B) → a
  14. Intersect(a, edge8) → G
  15. Intersect(a, c) → H
  16. Distance(G, H) → distanceGH
  17. Segment(G, H) → i
  18. PointIn(face3) → Pointface3_2
  19. Distance(A, B) → distanceAB
  20. Volume(n_1) → volumen1
  21. Point(n_1) → Pointn1
  22. Textfield(distanceAB) → InputBox1
  23. PointIn(face4) → Pointface4
  24. PointIn(face3) → Pointface3
  25. PointIn(face1) → Pointface1
  26. PointIn(face2) → Pointface2
  27. PointIn(Base) → PointBase
  28. OrthogonalLine(B, c, space) → n
  29. PointIn(face4) → I
  30. Segment(F, I) → p