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Rectangular Prism Volume Calculator

Rectangular Prism Volume Calculator
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2014-01-13 05:46
Solid GeometryGeometric Construction
This example demonstrates the calculation of volume for a rectangular prism. It involves core mathematical concepts such as volume formulas and geometric properties of prisms. The construction uses GeoGebra commands like Point, Segment, Rotate, Angle, Polygon, Textfield, Line, Intersect to draw the prism and compute its volume, making it suitable for middle school and above students learning solid geometry volume calculations.

GeoGebra Commands & Parameters

  1. Point(Circle[A, abs(l)]) → B
  2. Segment(A, B) → a
  3. Point(Circle[A, abs(w)]) → C
  4. Segment(A, C) → b
  5. Rotate(C, 90*°, A) → C'
  6. Angle(C, A, C') → α
  7. Segment(C', A) → c
  8. Point(Circle[C', abs(l)]) → D
  9. Segment(C', D) → d
  10. Segment(D, B) → e
  11. Polygon(A, B, D, C') → Base, a_1, b_1, d_1, c'
  12. Textfield(l) → MetinAlanı1
  13. Textfield(w) → MetinAlanı2
  14. Textfield(h) → MetinAlanı3
  15. Point(Circle[E, abs(l)]) → F
  16. Segment(E, F) → f
  17. Point(Circle[E, abs((0.5 * w))]) → G
  18. Segment(E, G) → g
  19. Rotate(G, 60*°, E) → G'
  20. Angle(G, E, G') → β
  21. Segment(G', E) → i
  22. Point(Circle[G', abs(l)]) → H
  23. Segment(G', H) → j
  24. Segment(H, F) → k
  25. Point(Circle[E, abs(h)]) → I
  26. Segment(E, I) → m
  27. Rotate(I, 90*°, E) → I'
  28. Angle(I, E, I') → γ
  29. Segment(I', E) → n
  30. Line(I', i) → p
  31. Line(I', f) → q
  32. Line(G', n) → r
  33. Line(H, n) → s
  34. Line(F, n) → t
  35. Intersect(p, r) → J
  36. Intersect(q, t) → K
  37. Line(K, p) → c_1
  38. Line(J, q) → e_1
  39. Intersect(s, c_1) → L
  40. Segment(J, I') → f_1
  41. Segment(I', K) → g_1
  42. Segment(K, L) → h_1
  43. Segment(L, J) → i_1
  44. Segment(K, F) → j_1
  45. Segment(L, H) → k_1
  46. Segment(J, G') → l_1
  47. Polygon(G', E, F, H) → Base_P, g', e_2, f_2, h_2

AI Drawing Prompt Reference

Draw a rectangular prism to demonstrate volume calculation. Start by sketching the base as a rectangle formed by two perpendicular segments. Extend lines to create the sides, rotating and connecting appropriately. Label the length, width, and height, and compute the volume. Use text fields to display these dimensions and the result. Finally, use intersections and lines to complete the 3D view, highlighting geometric properties and volume formulas.
The prompt above was compiled from the original drawing commands and is for reference only.