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Calculate Surface Area of Cuboids with GeoGebra

Calculate Surface Area of Cuboids with GeoGebra
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2022-11-30 14:29
In collections Wiederholung: Quader und Würfel
This example demonstrates calculating the surface area of cubes and rectangular prisms using GeoGebra. Key mathematical concepts include surface area formulas, geometric surface area calculations, and differences between cubes and prisms. Construction involves GeoGebra commands like Remove, Shuffle, Sequence, Flatten, Element, Polygon, Prism, and adjusting parameters to observe changes in surface

GeoGebra Commands & Parameters

  1. Remove(Join[Join[Sequence[Sequence[Sequence[{i, j, k}, k, j, 6], j, i, 6], i, 2, 6]]], Sequence[{a, a, a}, a, 1, 6]) → randomTripelUnique
  2. Shuffle(Zip[Shuffle[a], a, randomTripelUnique]) → randomTripleUniqueShuffle, {{4, 5, 3}, {2, 4, 2}, {3, 5, 6}, {4, 2, 6}, {3, 4, 6}, {4, 3, 4}, {4, 4, 6}, {4, 5, 4}, {6, 6, 3}, {3, 4, 3}, {5, 5, 3}, {2, 2, 5}, {5, 6, 6}, {6, 5, 2}, {2, 4, 4}, {2, 3, 4}, {5, 2, 5}, {4, 6, 5}, {6, 6, 4}, {2, 2, 3}, {5, 5, 6}, {6, 3, 3}, {4, 2, 5}, {3, 3, 2}, {3, 2, 5}, {6, 2, 3}, {5, 3, 3}, {2, 6, 6}, {5, 5, 4}, {6, 2, 2}}
  3. Sequence(Element[randomTripleUniqueShuffle(i), 3], i, 1, Length[randomTripleUniqueShuffle]) → randomc
  4. Sequence(Element[randomTripleUniqueShuffle(i), 2], i, 1, Length[randomTripleUniqueShuffle]) → randomb
  5. Flatten(Sequence[Shuffle[{"Quader", "Quader", "Quader", "Würfel"}], i, 1, 30]) → randomNosForX
  6. Element(randomNosForX, Mod[questionCount, 100] + 1) → numX
  7. Sequence(Element[randomTripleUniqueShuffle(i), 1], i, 1, Length[randomTripleUniqueShuffle]) → randoma
  8. Element(randoma, Mod[questionCount, Length[randoma]] + 1) → numa
  9. If(numX ≟ "Würfel", numa, Element[randomc, Mod[questionCount, Length[randomc]] + 1]) → numc
  10. If(numX ≟ "Würfel", numa, Element[randomb, Mod[questionCount, Length[randomb]] + 1]) → numb
  11. Textfield(aInput) → InputBox1
  12. Textfield(bInput) → InputBox2
  13. Polygon(PtopLeftCornerFeedback, PtopRightCornerFeedback, PbottomRightCornerFeedback, PbottomLeftCornerFeedback) → rectangleCorrect, ptopleftcornerfeedback, ptoprightcornerfeedback, pbottomrightcornerfeedback, pbottomleftcornerfeedback
  14. Shuffle(Sequence[Random[0, 10], i, 1, 100]) → randomNosForY, {5, 6, 2, 0, 5, 4, 6, 2, 1, 0, 8, 1, 0, 4, 7, 4, 7, 9, 7, 0, 0, 2, 6, 6, 3, 0, 7, 8, 7, 10, 10, 3, 5, 1, 1, 5, 2, 0, 6, 4, 6, 3, 1, 1, 3, 8, 2, 3, 9, 3, 1, 8, 7, 9, 0, 6, 10, 10, 0, 8, 9, 7, 6, 5, 7, 3, 0, 6, 7, 7, 0, 0, 8, 1, 9, 5, 2, 5, 4, 0, 3, 4, 0, 1, 5, 9, 1, 7, 9, 8, 6, 5, 0, 5, 2, 6, 4, 7, 1, 3}
  15. Element(randomNosForY, Mod[questionCount, 100] + 1) → numY
  16. Append(true, Sequence[If[randomNosForX(i) ≟ randomNosForX(i - 1), false, true], i, 2, 100]) → stayX
  17. Append(true, Sequence[If[randomNosForY(i) ≟ randomNosForY(i - 1), false, true], i, 2, 100]) → stayY
  18. Remove(Sequence[If[stayX(i), randomNosForX(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForXwithoutRepeat
  19. Remove(Sequence[If[stayY(i), randomNosForY(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForYwithoutRepeat
  20. Element(randomNosForXwithoutRepeat, Mod[questionCount, Length[randomNosForXwithoutRepeat]] + 1) → numXwithoutRepeat
  21. Element(randomNosForYwithoutRepeat, Mod[questionCount, Length[randomNosForYwithoutRepeat]] + 1) → numYwithoutRepeat
  22. Point(Circle[A, numa]) → B
  23. Segment(A, B) → g
  24. Segment(B, C) → h
  25. Segment(C, D) → i
  26. Segment(D, E) → j
  27. Polygon(D, C, B, A) → v1, m, n, p, q
  28. Prism(v1, numc) → a, F, KanteDF, KanteCG, KanteBH, KanteEI, KanteFG, KanteGH, KanteHI, KanteFI, G, H, I, FlächeCDFG, FlächeBCGH, FlächeBEIH, FlächeDEIF, FlächeFGHI
  29. Net(a, k) → l, J, S, T, U, V, W, FlächeJKLM, FlächeJKON, FlächeKLQP, FlächeLMSR, FlächeJMTU, K, FlächeNOVW, KanteJK, KanteKL, KanteLM, KanteJM, KanteJN, KanteNO, KanteKO, KanteKP, KantePQ, L, KanteLQ, KanteLR, KanteRS, KanteMS, KanteMT, KanteTU, KanteJU, KanteOV, KanteVW, KanteNW, M, N, O, P, Q, R