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Umkehraufgaben - Volumen: Volume Calculation and Geometric Construction

Umkehraufgaben - Volumen: Volume Calculation and Geometric Construction
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2025-08-12 17:57
In collections Wiederholung: Quader und Würfel
This example demonstrates volume calculation using geometric shapes, involving cubes, parallelograms, and other solids. It uses GeoGebra commands like Random, Shuffle, Join, and objects like Polygon, Segment. Suitable for middle school students to learn volume concepts and geometric construction techniques.

GeoGebra Commands & Parameters

  1. Random(1, 4) → randoEinheit
  2. Shuffle(Sequence[i, i, 1, 20]) → RandoExListHelperHelper, {7, 2, 17, 9, 1, 5, 11, 16, 13, 4, 12, 14, 6, 10, 15, 8, 3, 19, 18, 20}
  3. Join({{9}, RandoExListHelper}) → RandoExList
  4. If(ex < 11, 1, 2) → Typ
  5. If(ex < 11, ex, ex - 10) → Step
  6. Textfield(input1) → InputBox1
  7. Textfield(input2) → InputBox2
  8. Polygon(PtopLeftCornerFeedback, PtopRightCornerFeedback, PbottomRightCornerFeedback, PbottomLeftCornerFeedback) → rectangleCorrect, ptopleftcornerfeedback, ptoprightcornerfeedback, pbottomrightcornerfeedback, pbottomleftcornerfeedback
  9. Segment(Q1, Q1') → q1
  10. Segment(Q4', Q1') → q2
  11. Segment(Q2', Q1') → q3
  12. Polygon(Q1, Q2, Q2', Q1') → G, q3', q4', q2', q1'
  13. Segment(Q2', Q3') → h
  14. Segment(Q1, Q2) → a
  15. Segment(Q2, Q2') → b
  16. Segment(Q3', Q2') → c
  17. Element(ListCorrectG, Step) → AuswahlG
  18. Element(ListCorrectH, Step) → AuswahlH
  19. Element(ListCorrectA, Step) → AuswahlA
  20. Element(ListCorrectB, Step) → AuswahlB
  21. Element(ListCorrectC, Step) → AuswahlC
  22. Element(ListCorrectV1, Step) → AuswahlV1
  23. Element(ListCorrectV2, Step) → AuswahlV2
  24. If(gesG, "G = ", If[gesH, "h = ", If[gesA, "a = ", If[gesB, "b = ", If[gesC, "c = "]]]]) → solhelper1