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Composite Solid Pyramid on Rectangular Prism

Composite Solid Pyramid on Rectangular Prism
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2018-08-14 02:15
Solid GeometryGeometric Construction
This example demonstrates the construction of a composite solid pyramid on a rectangular prism, illustrating methods in solid geometry. Core math concepts include prisms, pyramids, volume calculation, cosine theorem, ellipses, polygons, right triangles, and cones. GeoGebra commands and objects used in the construction are Polygon, Prism, Midpoint, Ray, Point, Pyramid. Suitable for high school students learning solid geometry, helping them understand the construction and volume calculation of composite geometric bodies.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D) → poly1, a_1, b_1, c, d
  2. Prism(poly1, E) → e, F, edgeBF, edgeCG, edgeDH, edgeEF_1, edgeFG_1, edgeGH_1, edgeEH_1, G, H, faceABFE, faceBCGF, faceCDHG, faceADHE, faceEFGH_1, edgeAE
  3. Midpoint(E, F) → I
  4. Midpoint(G, H) → J
  5. Midpoint(I, J) → K
  6. Ray(K, L) → f
  7. Point(f) → M
  8. Pyramid(E, F, G, H, M) → g, faceEFGH, edgeEM, edgeFM, edgeGM, edgeHM, faceEFM, faceFGM, faceGHM, faceEHM, edgeEF, edgeFG, edgeGH, edgeEH

AI Drawing Prompt Reference

Draw a composite solid pyramid on a rectangular prism. First, draw a rectangle ABCD. Then, draw a rectangular prism with point E as the base. Next, find the midpoints F and G of the two bases, and draw a ray from the midpoint K of F and G to point M. Finally, draw a pyramid with vertices E, F, G, H, and M.
The prompt above was compiled from the original drawing commands and is for reference only.