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Volume & TSA of Rectangular Prism Practice

Volume & TSA of Rectangular Prism Practice
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2012-12-07 09:18
Solid GeometryGeometric Construction
In collections Geo&Alg:Area Volume Pythagorean Th. Math Scored Practice
This example demonstrates the calculation of volume and total surface area for a rectangular prism. It involves core mathematical concepts such as volume formulas, surface area formulas, and three-dimensional geometry. The construction utilizes GeoGebra commands and objects like Random, Point, Segment, OrthogonalLine, Circle, Intersect, Polygon, Rotate, Angle, Ray, Text, and If. It is suitable for middle school and above students for geometry learning and practice.

GeoGebra Commands & Parameters

  1. Random(1, 10) → L
  2. Point(Circle[A, L]) → B
  3. Segment(A, B) → a
  4. OrthogonalLine(A, a) → b
  5. OrthogonalLine(B, a) → c
  6. Random(1, 10) → W
  7. Circle(A, W) → d
  8. Circle(B, W) → e
  9. Intersect(d, b) → C, D
  10. Intersect(e, c) → E, F
  11. Polygon(D, A, B, F) → poly1, d_1, a_1, b_1, f
  12. Rotate(B, 135°, F) → B'
  13. Angle(B, F, B') → α
  14. Rotate(A, 135°, D) → A'
  15. Angle(A, D, A') → β
  16. Rotate(F, 315°, B) → F'
  17. Angle(F', B, F) → γ
  18. Rotate(D, 315°, A) → D'
  19. Angle(D', A, D) → δ
  20. Ray(D, A') → g
  21. Ray(A, D') → h
  22. Ray(F, B') → i
  23. Ray(B, F') → j
  24. Random(1, 10) → H
  25. Circle(D, H) → k
  26. Intersect(k, g) → G,
  27. Circle(A, H) → p
  28. Intersect(p, h) → I,
  29. Circle(F, H) → q
  30. Intersect(q, i) → J,
  31. Circle(B, H) → r
  32. Polygon(D, G, I, A) → poly3, d_2, g_2, i_2, a_2
  33. Polygon(G, D, F, J) → poly5, g_3, d_3, f_2, j_3
  34. Text(score) → text7
  35. If(GuessVolume ≟ VOLUME, 1, 0) → addptv
  36. If(GuessTSA ≟ TSA, 1, 0) → addpttsa
  37. Text(W) → text4
  38. Text(H) → text9
  39. Text(L) → text10
  40. Intersect(r, j) → K,
  41. Polygon(F, B, K, J) → poly2, f_1, b_2, k_1, j_1
  42. Segment(I, K) → l
  43. Text(try) → text11
  44. Text(pTSA) → text13
  45. Text(pV) → text14