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Custom Cuboid

Custom Cuboid
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2014-09-08 23:25
Solid GeometryGeometric ConstructionSlider Animation
This example demonstrates how to adjust the length, width, and height of a cuboid using sliders, and highlights the top, bottom, left, right, front, and back faces as desired. It involves core mathematical concepts such as solid geometry, volume calculation, surface area calculation, and the visual representation of three-dimensional shapes. The construction utilizes GeoGebra commands/objects like Segment, OrthogonalLine, Intersect, Ray, Circle, Line, Vector, and Polygon. It is suitable for high school students learning solid geometry and geometric construction, or for classroom demonstrations.

GeoGebra Commands & Parameters

  1. Segment(A, C) → i
  2. Segment(A, B) → d
  3. OrthogonalLine(B, d) → e
  4. OrthogonalLine(C, i) → f
  5. Intersect(e, f) → D
  6. Segment(D, C) → g
  7. Segment(D, B) → h
  8. Ray(C, E) → p
  9. Ray(D, E) → q
  10. Ray(B, E) → r
  11. Circle(D, (0.6 * c)) → s
  12. Intersect(s, q) → I,
  13. Line(I, h) → j
  14. Line(I, g) → k
  15. Intersect(j, r) → F
  16. Intersect(k, p) → G
  17. Segment(F, I) → l
  18. Segment(I, G) → m
  19. Segment(F, B) → n
  20. Segment(I, D) → t
  21. Segment(G, C) → a_1
  22. Line(G, l) → b_1
  23. Line(F, m) → c_1
  24. Intersect(c_1, b_1) → H
  25. Segment(F, H) → d_1
  26. Segment(H, G) → e_1
  27. Segment(H, A) → f_1
  28. Vector(J, K) → u
  29. Polygon(F, I, G, H) → poly1, f_2, i_1, g_1, h_1
  30. Polygon(B, D, C, A) → poly2, b_2, d_2, c_2, a_2
  31. Polygon(F, B, A, H) → poly3, f_3, b_3, a_3, h_2
  32. Polygon(I, D, C, G) → poly4, i_2, d_3, c_3, g_2
  33. Polygon(F, I, D, B) → poly5, f_4, i_3, d_4, b_4
  34. Polygon(H, G, C, A) → poly6, h_3, g_3, c_4, a_4

AI Drawing Prompt Reference

Draw a cuboid with adjustable length, width, and height using sliders, and highlight its top, bottom, front, back, left, and right faces in different colors. Start by constructing the base and front face of the cuboid, then extend upward and to the right from the top vertices of these faces to determine the other vertices. Connect these vertices to form all the faces of the cuboid, ensuring each face is clearly visible and distinct.
The prompt above was compiled from the original drawing commands and is for reference only.