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Volume of Rectangular Prism by moniquep

Volume of Rectangular Prism by moniquep
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2017-04-14 21:44
VectorSolid Geometry
This example demonstrates the calculation of the volume of a rectangular prism. Key mathematical concepts include the volume formula. Using GeoGebra commands such as Vector, Line, Intersect, etc., the construction process of the rectangular prism is dynamically shown. Suitable for middle school and above students to learn geometry and volume calculation.

GeoGebra Commands & Parameters

  1. Vector(((0.75 * width), (0.5 * width))) → w
  2. Vector((0, height)) → z
  3. Vector((((-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

AI Drawing Prompt Reference

Draw a rectangular prism with a length of 10 units, width of 5 units, and height of 8 units. First, draw a vector in the length direction, then draw vectors in the width and height directions. Next, construct the edges of the rectangular prism using points and vectors, and finally connect the edges to form the faces of the rectangular prism.
The prompt above was compiled from the original drawing commands and is for reference only.