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Pyramid Volume Calculation Demo

Pyramid Volume Calculation Demo
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2016-03-14 02:48
VectorSolid GeometryGeometric Construction
This example demonstrates how to construct a pyramid and calculate its volume using GeoGebra. It involves core mathematical concepts like volume formulas, vector operations, and geometric transformations. Key GeoGebra commands and objects used in the construction include Pyramid, Vector, Translate, etc., highlighting pyramid creation and vector translation. Suitable for high school solid geometry teaching to visually understand volume calculation methods.

GeoGebra Commands & Parameters

  1. Pyramid(A, D, C, B, E) → a, faceABCD, edgeAE, edgeDE, edgeCE, edgeBE, faceADE, faceCDE, faceBCE, faceABE, edgeAD, edgeCD, edgeBC, edgeAB
  2. Pyramid(F, G, I, H, J) → b, faceFGIH, edgeFJ, edgeGJ, edgeIJ, edgeHJ, faceFGJ, faceGIJ, faceHIJ, faceFHJ, edgeFG, edgeGI, edgeHI, edgeFH
  3. Vector(A, (0, 0, 0)) → u
  4. Vector(A, XX) → v
  5. Vector(J, (0, 0, s)) → w
  6. Vector(H, YY) → c
  7. Translate(a, v) → a'
  8. Translate(b, c) → b'
  9. Pyramid(N, K, L, M, O) → e, faceKLMN, edgeNO, edgeKO, edgeLO, edgeMO, faceKNO, faceKLO, faceLMO, faceMNO, edgeKN, edgeKL, edgeLM, edgeMN
  10. Vector(O, (0, 0, s)) → f
  11. Vector(O, ZZ) → g
  12. Translate(e, g) → e'