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Volume of Pyramid and Prism

Volume of Pyramid and Prism
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2020-04-16 07:33
TrigonometrySolid GeometryCalculusGeometric Construction
This example demonstrates the calculation of volumes for pyramids and prisms, showcasing geometric relationships and core mathematical concepts including volume formulas, trigonometry, perimeter, upper and lower sums (Riemann sums), and kite properties. It is constructed using GeoGebra commands like Mirror, Polygon, Prism, Pyramid, and involves objects such as B, C, D, faceABJI. Suitable for high school solid geometry education, helping students understand volume formula derivations and practical applications.

GeoGebra Commands & Parameters

  1. Mirror(C, yAxis) → C'
  2. Mirror(D, yAxis) → D'
  3. Mirror(B, yAxis) → B'
  4. Mirror(A, yAxis) → A'
  5. Polygon(A, B, D, C) → q1, a, b, d, c
  6. Prism(q1, h) → f, I, edgeAI, edgeBJ, edgeDK, edgeCL, edgeIJ, edgeJK, edgeKL, edgeIL, J, K, L, faceABJI, faceBDKJ, faceCDKL, faceACLI, faceIJKL
  7. Polygon(B', A', C', D') → q2, b', a', c', d'
  8. Pyramid(q2, h) → g, F, faceA'B'F, faceA'C'F, faceC'D'F, faceB'D'F, edgeB'F, edgeA'F, edgeC'F, edgeD'F