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Trapezoidal Prism Volume

Trapezoidal Prism Volume
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2015-12-02 20:20
PolygonSolid Geometry
This example demonstrates the volume calculation of a trapezoidal prism. Key mathematical concepts include trapezium, volume, and quadrilaterals. Using GeoGebra commands such as Polygon and Prism, various faces and edges of the trapezoidal prism are constructed. Suitable for middle school and above students or teachers.

GeoGebra Commands & Parameters

  1. Intersect(yAxis, zAxis) → C
  2. Point(xAxis) → D
  3. Polygon(C, D, B, A) → poly1, c, d, b, a
  4. Point(yAxis) → H
  5. Prism(poly1, H) → e, E, edgeDE, edgeBF, edgeAG, edgeEH, edgeEF, edgeFG, edgeGH, F, G, faceCDEH, faceBDEF, faceABFG, faceACHG, faceEFGH, edgeCH
  6. Segment(J, I) → h

AI Drawing Prompt Reference

Draw a trapezoidal prism by first plotting the three coordinate axes and finding their intersection point, then construct the prism using a trapezoid formed by two points on the axes and another point, showing all its faces and edges, and finally connect corresponding points of the top and bottom faces to complete the structure.
The prompt above was compiled from the original drawing commands and is for reference only.