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Prism Volume Exercises

Prism Volume Exercises
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2019-01-13 15:55
Solid GeometryGeometric Construction
This example demonstrates the calculation and visualization of prism volume. It involves core mathematical concepts such as the volume formula for prisms, 3D shape construction, and geometric transformations. GeoGebra commands and objects used in the construction summary include Polygon, Translate, Prism, Segment, and Angle. It is suitable for high school students learning solid geometry, helping to understand volume calculations and spatial reasoning skills.

GeoGebra Commands & Parameters

  1. Polygon(E, M, G) → poly2, f, g, k
  2. Polygon(B, A, C, D) → poly1, b, a, c, d
  3. Translate(A, v) → A'
  4. Translate(B, v) → B'
  5. Translate(C, v) → C'
  6. Translate(D, v) → D'
  7. Translate(E, v) → E'
  8. Translate(F, v) → F'
  9. Translate(G, v) → G'
  10. Prism(poly1, B') → h_1, H, edgeAH, edgeCI, edgeDJ, edgeB'H, edgeHI, edgeIJ, edgeB'J, I, J, faceABB'H, faceACIH, faceCDJI, faceBB'JD, faceB'HIJ, edgeBB'
  11. Prism(poly2, E') → i, K, edgeE'K, edgeKL, edgeE'L, L, faceEE'KF, faceFGLK, faceEE'LG, faceE'KL, edgeEE', edgeFK, edgeGL_1
  12. Segment(M, G) → j
  13. Angle(F, M, G) → α
  14. Polygon(G, M, F) → poly3, f_1, g_1, m
  15. Prism(poly3, L) → e, N, edgeLN, edgeNO, edgeLO, O, faceGLNM, faceFMNO, faceFGLO, faceLNO, edgeGL, edgeMN, edgeFO
  16. Segment(D, A) → l
  17. Segment(J, H) → n
  18. Angle(A, B, D) → β
  19. Angle(E, M, G) → γ
  20. Angle(D, C, A) → δ
  21. Segment(E, F) → p