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Unit Cube Volume Model

Unit Cube Volume Model
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2018-06-03 16:58
Solid GeometryGeometric Construction
This example demonstrates the calculation of volume using a unit cube model. Key mathematical concepts include volume calculation in solid geometry. Dynamic visualization of volume changes is achieved using GeoGebra commands such as Sequence, Polygon, and Prism. Suitable for students at the junior high school level and above.

GeoGebra Commands & Parameters

  1. Sequence(Sequence[Segment[(0, b, h), (length, b, h)], b, 0, breadth], h, 0, height) → listLsegm
  2. Sequence(Sequence[Segment[(l, b, 0), (l, b, height)], l, 0, length], b, 0, breadth) → listHsegm
  3. Sequence(Sequence[Segment[(l, 0, h), (l, breadth, h)], l, 0, length], h, 0, height) → listBsegm
  4. Polygon((0, 0), (length, 0), (length, breadth), (0, breadth)) → poly1, f, g, h, i
  5. Prism(poly1, height) → a, A, edge1, edge2, edge3, edge4, edgeAB, edgeBC, edgeCD, edgeAD, B, C, D, face1, face3, face4, face2, faceABCD