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Filling an Upside-Down Pyramid with Water

Filling an Upside-Down Pyramid with Water
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2017-07-18 23:21
Solid GeometryGeometric Construction
In collections Rate & Accumulation Yr 4 Much&Fast
This example demonstrates how water fills an upside-down pyramid. Key mathematical concepts include solid geometry and volume calculation. Using GeoGebra commands such as Polygon and Pyramid, various faces and edges of the pyramid are constructed. Suitable for high school students learning solid geometry and volume calculation.

GeoGebra Commands & Parameters

  1. Polygon(H, G, E, F) → poly1, h, g, e, f
  2. Pyramid(poly1, -10) → a, J, faceGHJ, faceEGJ, faceEFJ, faceFHJ, edgeHJ, edgeGJ, edgeEJ, edgeFJ
  3. Polygon(N, M, K, L) → poly2, n, m, k, l
  4. Pyramid(poly2, (-2 * LWH)) → b, O, face1, face2, face3, face4, edge1, edge2, edge3, edge4
  5. Text(WaterLWH) → text1