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Cross Section of a Rectangular Prism by Stephanie Bagley

Cross Section of a Rectangular Prism by Stephanie Bagley
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2020-03-02 00:41
Coordinate GeometrySolid GeometryGeometric Construction
In collections Cross Sections
This example demonstrates the cross section of a rectangular prism. Key mathematical concepts include solid geometry and cross sections. Using GeoGebra commands such as Point, Polygon, Prism, Plane, etc., the construction of the rectangular prism and its cross section is illustrated. Suitable for middle school and above students learning solid geometry.

GeoGebra Commands & Parameters

  1. Point(xAxis) → V
  2. Polygon(U, P, Q, W) → t1, m, n, q, r
  3. Prism(t1, a) → ThePrism, Z, edge2, edge3, edge5, edge4, edge6, edge7, edge8, edge9, A_1, B_1, face2, face4, face3, face1, edgeUZ, edge1
  4. Point(xAxis) → A
  5. Point(zAxis) → O
  6. Point(xAxis) → K
  7. Point(yAxis) → J
  8. Point(xAxis) → I
  9. Plane(I, K, O) → b
  10. Plane(I, J, K) → p
  11. PointIn(b) → CenterOfNormalAngle
  12. Circle(CenterOfNormalAngle, 0.25, b) → d
  13. Line(CenterOfNormalAngle, xAxis) → g
  14. Point(yAxis) → B
  15. Point(Circle[B, Distance[A, B], Segment[A, B]]) → C
  16. Intersect(xAxis, yAxis) → M
  17. OrthogonalLine(CenterOfNormalAngle, g, b) → h
  18. Intersect(g, d) → i_1, i_2
  19. CircleArc(CenterOfNormalAngle, i_1, i_2, b) → ArcForPlaneAngle
  20. Point(ArcForPlaneAngle) → NormalAngleHandle
  21. Segment(CenterOfNormalAngle, NormalAngleHandle) → NormalSeg
  22. PointIn(ThePrism) → SliceChooser
  23. OrthogonalPlane(SliceChooser, NormalSeg) → PerPenPlane
  24. IntersectPath(PerPenPlane, ThePrism) → CrossSection, D, l, E, F, G, H, f, i, j, k
  25. PointIn(PerPenPlane) → N

AI Drawing Prompt Reference

Draw a rectangular prism and then draw a plane perpendicular to its base. Next, cut the prism along this plane to get the cross section. First, create the base and sides of the prism, then define a plane perpendicular to the base, and finally cut the prism along this plane to get the cross section.
The prompt above was compiled from the original drawing commands and is for reference only.