Volume of Right Triangular Pyramid

Volume of Right Triangular Pyramid
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2018-12-16 19:04
This example demonstrates the calculation of the volume of a right triangular pyramid. It involves core mathematical concepts such as volume formulas, linear equations, trigonometry, polynomial functions, and natural numbers. The construction uses GeoGebra commands like Polygon, Pyramid, Angle, and Segment to create the pyramid and related elements. It is suitable for high school students learning and understanding solid geometry volume calculations, as well as mathematical modeling education.

GeoGebra Commands & Parameters

  1. Polygon(P, R, Q) → t1, b, a, c
  2. Pyramid(t1, X) → d, facePRX, faceQRX, facePQX, edgePX, edgeRX, edgeQX
  3. Angle(R, P, Q, xOyPlane) → α
  4. Segment(X, X_n) → heightXX_n
  5. Segment(X_n, P) → f
  6. Segment(X_n, Q) → h
  7. Segment(X_n, R) → g
  8. Angle(R, X_n, X) → β
  9. Angle(Q, X_n, X) → γ
  10. Angle(P, X_n, X) → δ