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Cube Inside Boxes

Cube Inside Boxes
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2015-11-02 21:38
FunctionSolid Geometry
This example demonstrates the spatial relationship and size variation of a cube inside a box, involving core math concepts like solid geometry, logarithmic functions, linear functions, and dilation. It uses GeoGebra commands: Segment, Plane, and objects A, B, C, D, a, b, c, d, E, F, e, f, g, h, H, i, j, I, k, l, m, G, J, n, o, p, q, r, s for construction. Suitable for high school and above for teaching demonstrations or student exploration of spatial geometry and function applications.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. Segment(B, C) → b
  3. Segment(C, D) → c
  4. Segment(D, A) → d
  5. Segment(Intersect[yAxis, xAxis], E) → e
  6. Segment(E, F) → f
  7. Segment(F, B) → g
  8. Segment(B, A) → h
  9. Segment(F, H) → i
  10. Segment(C, H) → j
  11. Segment(I, E) → k
  12. Segment(I, D) → l
  13. Segment(I, H) → m
  14. Plane(C, H, I) → n
  15. Plane(H, C, B) → o
  16. Plane(I, E, A) → p
  17. Plane(B, A, E) → q
  18. Plane(H, I, E) → r
  19. Plane(C, D, A) → s