MathPlotAI Logo MathPlotAI

Volume of Rectangular Prisms by Duane Habecker

Volume of Rectangular Prisms by Duane Habecker
Loading the math board and drawing, please wait…
2012-08-09 05:19
Solid GeometryGeometric Construction
In collections Area and Volume Volume of Prisms Surface Area and Volume of basic figures Surface Area and Volume of basic figures Surface Area and Volume of basic figures
This example demonstrates how to construct a rectangular prism using sliders and calculate its volume. Key math concepts include volume formulas, spatial geometry, and 3D shapes. GeoGebra commands like Vector, Line, Intersect, Segment, Polygon, and Midpoint are used to create the prism structure, with length, height, and width multiplied to find the volume. Suitable for middle school and above students learning solid geometry and volume calculations, or for physics demonstrations.

GeoGebra Commands & Parameters

  1. Vector((0.75 * width, 0.5 * width)) → w
  2. Vector((0, height)) → z
  3. Vector((-1 * 0.75 * length, 0.4 * length)) → u
  4. Line(C, z) → d
  5. Line(B, w) → e
  6. Line(B, u) → f
  7. Line(A, z) → g
  8. Intersect(f, g) → D
  9. Intersect(d, e) → E
  10. Segment(A, D) → h
  11. Segment(D, B) → i
  12. Segment(B, E) → j
  13. Segment(E, C) → k
  14. Line(D, j) → l
  15. Line(E, i) → m
  16. Intersect(l, m) → F
  17. Segment(D, F) → n
  18. Segment(F, E) → p
  19. Polygon(D, A, O, B) → poly1, d_1, a_1, o, b_1
  20. Polygon(D, F, E, B) → poly2, d_2, f_1, e_1, b_2
  21. Polygon(O, C, E, B) → poly3, o_1, c_1, e_2, b_3
  22. Midpoint(o_1) → G
  23. Midpoint(c_1) → H
  24. Midpoint(a_1) → I