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Calculate the Volume of a Pyramid

Calculate the Volume of a Pyramid
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2014-11-19 07:41
Solid GeometryGeometric Construction
In collections Geometry - Area & Volume
This example demonstrates how to calculate the volume of a pyramid using geometric construction. Key mathematical concepts include solid geometry volume calculation. GeoGebra commands such as Point, Cube, Net, Pyramid are used to construct the pyramid's faces and edges. Suitable for middle school and above students learning solid geometry.

GeoGebra Commands & Parameters

  1. Point(yAxis) → B
  2. Cube(A, B, xOyPlane) → a, C, faceBCGF, faceCDHG, faceEFGH, edgeAD, edgeAB, edgeBC, edgeCD, edgeAE, edgeDH, edgeEH, D, edgeEF, edgeBF, edgeFG, edgeCG, edgeGH, E, F, G, H, faceABCD, faceADHE, faceABFE
  3. Net(a, b) → c, I, R, S, T, U, V, faceIJKL, faceILNM, faceIJRQ, faceJKTS, faceKLVU, J, faceMNOP, edgeIL, edgeIJ, edgeJK, edgeKL, edgeLN, edgeMN, edgeIM, edgeIQ, edgeQR, K, edgeJR, edgeJS, edgeST, edgeKT, edgeKU, edgeUV, edgeLV, edgeNO, edgeOP, edgeMP, L, M, N, O, P, Q
  4. Pyramid(faceJKTS, 1) → d, W, faceJKW, faceJSW, faceSTW, faceKTW, edgeKW, edgeJW, edgeSW, edgeTW
  5. Pyramid(faceIJKL, 1) → e, Z, faceILZ, faceIJZ, faceJKZ, faceKLZ, edgeLZ, edgeIZ, edgeJZ, edgeKZ
  6. Pyramid(faceIJRQ, 1) → f, A_1, face1, face2, face4, face3, edge2, edge1, edge3, edge4
  7. Pyramid(faceKLVU, 1) → g, B_1, face5, face6, face8, face7, edge6, edge5, edge7, edge8
  8. Pyramid(faceILNM, 1) → h, C_1, face9, face11, face12, face10, edge9, edge10, edge12, edge11
  9. Pyramid(faceMNOP, 1) → i, D_1, face13, face15, face16, face14, edge13, edge14, edge15, edge16