Volume of Prism and Pyramid by marina druyan

Volume of Prism and Pyramid by marina druyan
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2015-11-25 14:47
This example demonstrates the calculation of the volume of a prism and a pyramid. Key mathematical concepts include volume formulas and geometric construction. Using GeoGebra commands such as Intersect, Point, Prism, Pyramid, and Volume, one can construct a prism and a pyramid and calculate their volumes. Suitable for middle and high school students learning solid geometry.

GeoGebra Commands & Parameters

  1. Intersect(zAxis, xAxis) → A
  2. Point(xAxis) → B
  3. Point(yAxis) → C
  4. Prism(A, B, D, C, E) → תיבה, F, edgeAB_1, edgeBD_1, edgeCD_1, edgeAC_1, edgeAE, edgeBF, edgeDG, edgeCH, edgeEF, edgeFG, G, edgeGH, edgeEH, H, faceABDC_1, faceABFE, faceBDGF, faceCDGH, faceACHE, faceEFGH
  5. Pyramid(A, B, D, C, L) → פרמידה, faceABDC, edgeAL, edgeBL, edgeDL, גובה_1, faceABL, faceBDL, faceCDL, faceACL, אורך, edgeBD, edgeCD, רוחב
  6. Volume(תיבה) → volumea
  7. Point(תיבה) → נקודהa
  8. Volume(פרמידה) → volumeb
  9. Point(פרמידה) → נקודהb
  10. Name(פרמידה) → C2
  11. Name(גובה) → A2
  12. Name(תיבה) → B2