Net of a Pyramid by Michael Bailey

Net of a Pyramid by Michael Bailey
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2015-04-07 09:49
This GeoGebra example demonstrates the construction of a pyramid and its net, showing how a 3D solid unfolds into a 2D plane. Core mathematical concepts include solid geometry, the structure of a pyramid, and the concept of a net. The construction uses GeoGebra commands such as Intersect, Point, Pyramid, Net, Midpoint, Segment, and Angle to create vertices A, B, C, D, E, the base face ABCD, lateral faces ABE, BCE, CDE, ADE, and the corresponding unfolded faces FGHI, FGJ, GHK, HIL, FIM with their edges. This is suitable for middle and high school geometry lessons, helping students understand the composition of pyramids, surface area calculation, and spatial visualization.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, zAxis) → A
  2. Point(yAxis) → B
  3. Point(xAxis) → D
  4. Pyramid(A, B, C, D, E) → a, faceABCD, edgeAE, edgeBE, edgeCE, edgeDE, faceABE, faceBCE, faceCDE, faceADE, edgeAB, edgeBC, edgeCD, edgeAD
  5. Net(a, b) → c, F, faceFGJ, faceGHK, faceHIL, faceFIM, edgeFG, edgeGH, edgeHI, edgeFI, edgeFJ, edgeGJ, G, edgeGK, edgeHK, edgeHL, edgeIL, edgeIM, edgeFM, H, I, J, K, L, M, faceFGHI
  6. Midpoint(edgeHI) → N
  7. Segment(N, L) → d
  8. Midpoint(d) → O
  9. Angle(I, N, L) → α