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Cuboid Surface Area Calculation and Formula Exploration

Cuboid Surface Area Calculation and Formula Exploration
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2022-11-25 16:52
In collections Wiederholung: Quader und Würfel
This example demonstrates the calculation of cuboid surface area and verifies the formula. Key math concepts include cuboid surface area formulas, algebraic computation, and geometric transformations. GeoGebra commands like Segment, Rotate, Textfield, If, and Slider are used to construct the cuboid model and dynamically show changes in surface area. Suitable for upper elementary or middle school s

GeoGebra Commands & Parameters

  1. Segment(H_3, G_3) → segd
  2. Rotate(B + ((sliderB_1 * verzerrung), 0), winkel, B) → C
  3. Rotate(A + ((sliderB_1 * verzerrung), 0), winkel, A) → D
  4. Rotate(F + ((sliderB_1 * verzerrung), 0), winkel, F) → G
  5. Rotate(E + ((sliderB_1 * verzerrung), 0), winkel, E) → H
  6. Segment(A, B) → segab
  7. Segment(A, D) → segad
  8. Segment(A, E) → segae
  9. Segment(B, C) → segbc
  10. Segment(C, D) → segcd
  11. Segment(B, F) → segbf
  12. Segment(E, F) → segef
  13. Segment(E, H) → segeh
  14. Segment(F, G) → segfg
  15. Segment(C, G) → segcg
  16. Segment(D, H) → segdh
  17. Segment(G, H) → seggh
  18. Segment(H_1, D_1) → segf
  19. Segment(D_1, H_2) → segg
  20. Segment(H_2, E_1) → segh
  21. Segment(E_1, A_1) → segi
  22. Segment(A_1, D_1) → segj
  23. Segment(D_1, C_1) → segk
  24. Segment(C_1, B_1) → segl
  25. Segment(B_1, A_1) → segm
  26. Segment(A_1, E_2) → segn
  27. Segment(E_2, F_2) → segp
  28. Segment(F_2, B_1) → segq
  29. Segment(B_1, F_1) → segr
  30. Segment(F_1, G_2) → segs
  31. Segment(G_2, C_1) → segt
  32. Segment(C_1, G_1) → segu
  33. Segment(G_1, H_1) → segv
  34. Segment(E_2, H_3) → segw
  35. Segment(F_2, G_3) → sege
  36. Textfield(input1) → InputBox1
  37. Textfield(input3) → InputBox3
  38. Textfield(input4) → InputBox4
  39. Textfield(input5) → InputBox5
  40. Textfield(input6) → InputBox6
  41. Textfield(input7) → InputBox7
  42. Textfield(input14) → InputBox14
  43. Textfield(input15) → InputBox15
  44. Textfield(input16) → InputBox16
  45. Textfield(input17) → InputBox17
  46. If(move ≟ 4.5, (-3.94, 4.24), (-3.94, 5.94)) → PointText
  47. Textfield(input3_1) → InputBox3_1
  48. Textfield(input4_1) → InputBox4_1
  49. Textfield(input5_1) → InputBox5_1
  50. Textfield(input6_1) → InputBox6_1
  51. Textfield(input7_1) → InputBox7_1
  52. Textfield(input15_1) → InputBox15_1
  53. Textfield(input16_1) → InputBox16_1
  54. Textfield(input17_1) → InputBox17_1
  55. Textfield(input2) → InputBox2