MathPlotAI Logo MathPlotAI

Prism and Pyramid Construction and Volume

Prism and Pyramid Construction and Volume
Loading the math board and drawing, please wait…
2017-06-16 19:00
Solid GeometryGeometric Construction
This example demonstrates the geometric construction of prisms and pyramids and their volume calculation. Core math concepts include polygons, solid geometry, volume formulas, and geometric transformations. Construction highlights involve commands like Point, Segment, Polygon, Pyramid, Prism, Volume for creating shapes and computing volumes. Suitable for high school geometry teaching and construction practice.

GeoGebra Commands & Parameters

  1. Point(Circle[A, a]) → B
  2. Segment(A, B) → f
  3. Point(Circle[C, a]) → D
  4. Segment(C, D) → g
  5. Polygon(A, B, 4) → poly1, i, j, k, l, E, F
  6. Polygon(C, D, 4) → poly2, m, n, p, q, G, H
  7. Pyramid(poly1, h) → b, I, faceABI, faceBEI, faceEFI, faceAFI, edgeAI, edgeBI, edgeEI, edgeFI
  8. Prism(poly2, h) → c, J, edgeCJ, edgeDK, edgeGL, edgeHM, edgeJK, edgeKL, edgeLM, edgeJM, K, L, M, faceCDKJ, faceDGLK, faceGHML, faceCHMJ, faceJKLM
  9. Volume(b) → volumeb
  10. Point(b) → Pointb
  11. Volume(c) → volumec
  12. Point(c) → Pointc