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Constant Cross Sectional Area

Constant Cross Sectional Area
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2012-10-09 02:19
FunctionSolid GeometryGeometric Construction
In collections Geometry Constructions
This example demonstrates a prism with a constant cross-sectional area. Key mathematical concepts include the volume calculation of a prism and the constancy of the cross-sectional area. Using GeoGebra commands such as Vector, Polygon, Segment, and Translate, the construction process of the prism can be dynamically shown. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Vector(B, D) → u
  2. Vector(B, E) → v
  3. Vector(B, C) → w
  4. Polygon(G, J, K) → poly1, k, g_1, j
  5. Polygon(I, F, H) → poly2, h_1, i, f_1
  6. Segment(K, H) → l
  7. Segment(J, I) → m
  8. Segment(G, F) → n
  9. Vector(L, M) → z
  10. Translate(I, z) → I'
  11. Translate(F, z) → F'
  12. Translate(H, z) → H'
  13. Polygon(I', F', H') → poly2', h', i', f'