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Volume of Prism and Pyramid by tmoorehead

Volume of Prism and Pyramid by tmoorehead
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2016-02-12 01:18
Solid GeometryGeometric Construction
This example demonstrates the volume calculation of prisms and pyramids. Key mathematical concepts include the volume formulas of prisms and pyramids. Using GeoGebra commands such as Intersect, Point, Segment, etc., a geometric model of prisms and pyramids can be constructed. Suitable for middle and high school students learning solid geometry.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → Z
  2. Point(Circle[Z, a]) → Y
  3. Segment(Z, Y) → b
  4. Mirror(Y, Z) → B'
  5. OrthogonalLine(B', b) → c
  6. OrthogonalLine(Y, b) → d
  7. Rotate(Y, 90°, Z) → B'_1
  8. Mirror(B'_1, Z) → X
  9. Line(B'_1, b) → e
  10. Line(X, b) → f
  11. Intersect(c, e) → D
  12. Intersect(d, e) → A
  13. Intersect(d, f) → B
  14. Intersect(c, f) → C
  15. Polygon(D, A, B, C) → poly1, d_1, e_1, f_1, g
  16. Prism(A, B, C, D, F) → j, G, edgeAB_1, edgeBC, edgeCD, edgeAD_1, edgeAF, edgeBG, edgeCH, edgeDI, edgeFG, edgeGH, H, edgeHI, edgeFI, I, faceABCD, faceABGF, faceBCHG, faceCDIH, faceADIF, faceFGHI
  17. Point(g) → J
  18. PointIn(faceFGHI) → E
  19. Pyramid(A, B, J, D, E) → i, faceABJD, edgeAE, edgeBE, edgeEJ, edgeDE, faceABE, faceBEJ, faceDEJ, faceADE, edgeAB, edgeBJ, edgeDJ, edgeAD