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Pyramid Volume Cube

Pyramid Volume Cube
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2019-05-28 22:29
VectorCoordinate GeometrySolid GeometryGeometric Construction
This example demonstrates the geometric construction of a pyramid and a cube, focusing on volume calculations. Key math concepts include solid geometry, volume formulas, vectors, and 2D coordinate geometry. Construction highlights involve commands like Point, Pyramid, Cube, creating vertices (A, B, C, D, E, a), faces (faceABCD), and edges (edgeAB_1). Suitable for high school geometry education, aiding in understanding spatial figures and volume computations.

GeoGebra Commands & Parameters

  1. Point(zAxis) → E
  2. Pyramid(A, B, C, D, E) → a, faceABCD, edgeAE, edgeBE, edgeCE, edgeDE, faceABE, faceBCE, faceCDE, faceADE, edgeAB_1, edgeBC, edgeCD, edgeAD
  3. Point(Circle[A, Distance[B, A], Segment[B, A]]) → F
  4. Cube(B, A, F) → b, G, faceFGKJ, faceHIJK_1, edgeBG, edgeAB, edgeAF, edgeFG, edgeBH, edgeGK, edgeHK_1, edgeHI_1, H, edgeAI, edgeIJ_1, edgeFJ, edgeJK_1, I, J, K, faceABGF, faceBGKH, faceABHI, faceAFJI
  5. Pyramid(H, K, J, I, E) → c, faceHIJK, edgeEH, edgeEK, edgeEJ, edgeEI, faceEHK, faceEJK, faceEIJ, faceEHI, edgeHK, edgeJK, edgeIJ, edgeHI