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Pyramid Volume Calculation by Prabhash Paudel

Pyramid Volume Calculation by Prabhash Paudel
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2019-08-16 19:23
Solid GeometryGeometric Construction
This example demonstrates the calculation of a pyramid's volume. It involves core mathematical concepts like volume formulas, polygon area calculation, and solid geometry. Constructed using commands such as Point, Cube, Net, Polygon, Pyramid, and objects like a, A, B, C, cube. Suitable for high school mathematics education to understand volume formulas and 3D shape construction.

GeoGebra Commands & Parameters

  1. Point(Circle[B, Distance[A, B], Segment[A, B]]) → C
  2. Cube(A, B, C) → cube, D, faceCDHG, faceEFGH, edgeAD, edgeAB, edgeBC, edgeCD, edgeAE, edgeDH, edgeEH, edgeEF, E, edgeBF, edgeFG, edgeCG, edgeGH, F, G, H, faceABCD, faceADHE, faceABFE, faceBCGF
  3. Net(cube, 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. Polygon(B, C, T, S) → pol1, f, g, i, j
  5. Pyramid(pol1, (-h)) → pyr1, W, faceBCW, faceCTW, faceSTW, faceBSW, edgeBW, edgeCW, edgeTW, edgeSW
  6. Polygon(C, D, V, U) → pol2, c_1, d, v, u
  7. Pyramid(pol2, (-h)) → pyr2, Z, face1, face2, face3, face4, edge1, edge2, edge3, edge4
  8. Polygon(D, I, M, N) → pol3, d_1, i_1, m, n
  9. Pyramid(pol3, (-h)) → pyr3, A_1, face5, face6, face7, face8, edge5, edge6, edge7, edge8
  10. Polygon(M, N, O, P) → pol4, m_1, n_1, o, p
  11. Pyramid(pol4, h) → pyr4, B_1, face9, face11, face12, face10, edge9, edge10, edge11, edge12
  12. Polygon(B, R, Q, I) → pol5, b_1, r, q, i_2
  13. Pyramid(pol5, (-h)) → pyr5, C_1, face14, face16, face15, face13, edge13, edge16, edge15, edge14
  14. Polygon(B, C, D, I) → pol6, b_2, c_2, d_2, i_3
  15. Pyramid(pol6, h) → pyr6, D_1, face17, face19, face20, face18, edge17, edge18, edge19, edge20

AI Drawing Prompt Reference

Draw a pyramid volume calculation model. Start by creating a cube, then unfold its surface. Next, draw four triangles on the unfolded surface, each serving as the base for a pyramid. Finally, ensure that the apexes of all pyramids are directly above or below the center of the cube, forming a complete pyramid volume model.
The prompt above was compiled from the original drawing commands and is for reference only.