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Pyramid Surface Area Calculation by ca.conwill

Pyramid Surface Area Calculation by ca.conwill
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2017-04-22 00:51
PolygonSolid GeometryGeometric Construction
In collections Surface Area
This example demonstrates the calculation and visualization of a pyramid's surface area. It involves core mathematical concepts like polygon area, solid geometry, and surface area formulas. Construction highlights include using GeoGebra commands such as Point, Intersect, Polygon, OrthogonalLine, Pyramid, and Net to build the pyramid and its net. Suitable for high school mathematics teaching or self-study on spatial geometry and area calculation.

GeoGebra Commands & Parameters

  1. Point(yAxis) → A
  2. Intersect(xAxis, yAxis) → B
  3. Polygon(A, B, 4) → poly1, f, g, h, i, C, D
  4. OrthogonalLine(E, xOyPlane) → j
  5. Pyramid(poly1, E) → a, faceABE, faceBCE, faceCDE, faceADE, edgeAE, edgeBE, edgeCE, edgeDE
  6. 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