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Volume and Surface Area of a Regular Pyramid

Volume and Surface Area of a Regular Pyramid
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2019-05-28 08:48
FunctionSolid GeometryGeometric Construction
This example demonstrates the calculation of the volume and surface area of a regular pyramid. Key mathematical concepts include the formulas for volume and surface area in solid geometry. Using GeoGebra commands such as Polygon and Pyramid, the construction process of the pyramid is visually illustrated. Suitable for students in middle school and above to learn geometric construction and solid geometry.

GeoGebra Commands & Parameters

  1. Polygon(A, B, n, xOyPlane) → poly1, f, a, C, D, E, F, G, H, I, J, g, h, i, p, q, r, s, t
  2. AngularBisector(h, g) → j, k
  3. AngularBisector(g, f) → l, m
  4. AngularBisector(f, h) → b, c
  5. Intersect(m, k) → K
  6. OrthogonalLine(K, xOyPlane) → d
  7. Point(d) → L
  8. Pyramid(poly1, L) → e, faceABL, face7, edgeAL, edgeBL, edgeCL, edge1, edge2, edge3, edge4, edge5, edge6, faceBCL, edge7, faceACL, face1, face2, face3, face4, face5, face6
  9. Net(e, o) → u, M, G_1, Q, R, S, T, V, Z, B_1, D_1, F_1, N, H_1, faceMNOP, faceMNQ, faceNOR, faceOPS, faceMPT, face8, face9, face10, face11, O, face12, face13, edgeMN, edgeNO, edgeOP, edgeMP, edge8, edge11, edge14, edge17, P, edge20, edge23, edgeMQ, edgeNQ, edgeNR, edgeOR, edgeOS, edgePS, edgePT, edgeMT, U, edge9, edge10, edge12, edge13, edge15, edge16, edge18, edge19, edge21, edge22, W, edge24, edge25, A_1, C_1, E_1