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Pyramid Surface Area by d.riley

Pyramid Surface Area by d.riley
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2017-04-24 14:03
Coordinate GeometrySolid Geometry
In collections Surface Area
This example demonstrates the calculation of a pyramid's surface area. Key mathematical concepts include geometric construction, solid geometry, and coordinate geometry. Using GeoGebra commands such as Pyramid, Net, and OrthogonalLine, the surface net of a pyramid can be constructed, and its surface area can be calculated. Suitable for middle school and above students or teachers.

GeoGebra Commands & Parameters

  1. Pyramid(A, B, C, D, E) → a, faceABCD, edgeAE, edgeBE, edgeCE, edgeDE, faceABE, faceBCE, faceCDE, faceADE, edgeAB, edgeBC, edgeCD, edgeAD
  2. 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
  3. OrthogonalLine(E, xOyPlane) → f

AI Drawing Prompt Reference

Draw a pyramid and its surface net. Construct the 3D pyramid first, then unfold its surface into a 2D net showing the connections between faces and edges. Finally, draw a perpendicular line from the pyramid's apex to the base plane to illustrate the orthogonal relationship in solid geometry.
The prompt above was compiled from the original drawing commands and is for reference only.