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Volume Calculation of Rectangular Prism

Volume Calculation of Rectangular Prism
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2017-05-05 17:00
Coordinate GeometrySolid GeometryGeometric Construction
This example demonstrates how to calculate the volume of a rectangular prism by multiplying the number of cubes in one layer by the number of layers. Key mathematical concepts include the calculation method of rectangular prism volume. It uses GeoGebra commands such as Vector, Line, Intersect, Segment, Polygon, and Midpoint. Suitable for middle school and above students to learn geometric construction.

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 its base, sides, and top. Start by drawing the four vertices of the base A, B, C, D, then draw the side segments connecting the base vertices to vertex E. Next, draw the top segments connecting the side vertices. Finally, draw the auxiliary segments connecting corresponding points of the base and top to form the structure of the rectangular prism.
The prompt above was compiled from the original drawing commands and is for reference only.