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Volume of Rectangular Prisms by Donna

Volume of Rectangular Prisms by Donna
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2017-04-19 13:31
Solid GeometryGeometric Construction
This example demonstrates how to construct a rectangular prism in GeoGebra and calculate its volume. Key math concepts include the volume formula V=length×width×height, 3D geometry, and coordinate geometry. Construction involves commands/objects like Ray, Segment, Line, Circle, Intersect, Sequence, Midpoint, Textfield. Suitable for middle school students and above learning solid geometry and volume calculations, or for math teaching demonstrations.

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