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Surface Area & Volume of Rectangular Prisms

Surface Area & Volume of Rectangular Prisms
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2017-03-03 22:58
Solid GeometryGeometric Construction
This example demonstrates the calculation of surface area and volume for rectangular prisms. It involves core math concepts like area, volume, and solid geometry. Constructed using GeoGebra commands such as Ray, Segment, Line, Circle, Intersect, Sequence, Midpoint, and Textfield, it calculates key parameters like A, B, C, D, E. Suitable for middle school and above students learning 3D geometry and geometric calculations.

GeoGebra Commands & Parameters

  1. Ray(R1, R2) → f
  2. Segment(A, B) → g
  3. Segment(A, C) → h
  4. Segment(B, D) → i
  5. Segment(C, D) → j
  6. Line(C, f) → k
  7. Line(D, f) → l
  8. Line(B, f) → m
  9. Circle(C, (sf * width)) → c
  10. Intersect(c, k, 2) → E
  11. Line(E, xAxis) → n
  12. Intersect(l, n) → F
  13. Line(F, yAxis) → p
  14. Intersect(m, p) → G
  15. Segment(C, E) → q
  16. Segment(E, F) → r
  17. Segment(D, F) → s
  18. Segment(F, G) → t
  19. Segment(B, G) → a
  20. Sequence(Segment[(i, 0), (i, y(C))], i, 1, length, 1) → list1
  21. Sequence(Segment[(0, i), (x(B), i)], i, 1, height, 1) → list2
  22. Sequence(Segment[(0, i), (x(B), i)], i, 1, height, 1) → list3
  23. Sequence(Segment[((i * sf), k((i * sf))), (x(D) + (i * sf), l(x(D) + (i * sf)))], i, 0, (width * sf), sf) → list5
  24. Sequence(Segment[(x(D) + (i * sf), m(x(D) + (i * sf))), (x(D) + (i * sf), l(x(D) + (i * sf)))], i, 0, (width * sf), sf) → list6
  25. Sequence(Segment[(x(B), i), (x(G), y(G) + i)], i, 1, height, 1) → list7
  26. Sequence(Segment[(i, y(C)), (i + x(E), y(E))], i, 1, length, 1) → list4
  27. Midpoint(t) → H
  28. Midpoint(a) → I
  29. Midpoint(g) → J
  30. Textfield(txtUnit) → InputBox1
  31. Midpoint(i) → K
  32. Textfield(txtUnit_1) → InputBox1_1