Cuboid with Dimensions

Cuboid with Dimensions
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2016-06-03 05:40
① This example demonstrates the construction and display of a cuboid with explicit dimensions in 3D space, showing edges, faces, and vertices clearly. ② Core mathematical concepts include solid geometry properties of cuboids, relationships between edges and faces, spatial coordinate positioning, and building 3D solids from edges and faces. ③ Construction highlights: from the summary, GeoGebra commands Line, Intersect, and Prism are used to create vertices A, B, C, D, E, F, G, H, edges such as edgeBD and edgeBF, and six faces (faceADBF, faceBDCE, etc.), fully defining the cuboid. ④ Suitable for middle/high school solid geometry lessons or beginners learning 3D spatial figures, and also useful for demonstrating the Prism tool in GeoGebra.

GeoGebra Commands & Parameters

  1. Line(B, xAxis) → g
  2. Line(A, yAxis) → h
  3. Intersect(g, h) → F
  4. Intersect(yAxis, xAxis) → D
  5. Prism(D, B, F, A, C) → d, E, edgeBD, edgeBF, edgeAF, edgeAD, edgeCD, edgeBE, edgeFG, edgeAH, edgeCE, edgeEG, G, edgeGH, edgeCH, H, faceADBF, faceBDCE, faceBEGF, faceAFGH, faceADCH, faceCEGH