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Prism Volume Demonstration

Prism Volume Demonstration
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2019-05-25 01:25
Solid GeometryGeometric Construction
This example demonstrates the concept of prism volume calculation by visualizing the volume change as the prism is filled. Key math concepts include volume formulas, geometric transformations (rotation, translation), and similarity transformations. GeoGebra commands and objects used in construction are Polygon, Prism, RotateText. Suitable for middle school students and above to understand solid geometry volume and transformation properties.

GeoGebra Commands & Parameters

  1. Polygon((-0.86, 0.24), (0.14, 0.24), 6) → poly1
  2. Prism(poly1, height) → b, A, face4, face5, face6, face7, edge1, edge2, edge3, edge4, edge5, edge6, B, edge7, edge8, edge9, edge10, edge11, edge12, C, D, E, F, face1, face2, face3
  3. Prism(poly1, 4.999999999999999) → a, G, face12, face13, face9, faceGHIJKL, edge13, edge14, edge15, edge16, edge17, edge18, H, edgeGH, edgeHI, edgeIJ, edgeJK, edgeKL, edgeGL, I, J, K, L, face8, face10, face11
  4. RotateText(text1, π / 2) → text2