Triangular Prism and Square Pyramid Net

Triangular Prism and Square Pyramid Net
Loading the math board and drawing, please wait…
2019-08-25 09:05
① This example demonstrates a triangular prism and its net, along with a square pyramid, showing the transformation between 3D solids and their 2D unfolded representations. ② Core mathematical concepts include solid geometry (prisms, pyramids, faces, edges, vertices), the Pythagorean theorem for calculating lengths and spatial relationships, and additional topics such as random variables, quadratic equations, and integral calculus. ③ Construction details: Uses GeoGebra commands Polygon to create polygonal bases, Pyramid to construct the pyramid, and Net to generate the unfolded view; objects include points A, B, C, D, E, F, G, H, I, J, K, L, M, faces face1 through face4 and faceFGHI, etc., and edges edge1 through edge4 and edgeFG, etc., linking polygons and edges to build the complete solid. ④ Suitable for middle school geometry teaching to help students understand the structure of solids, surface area calculations, and the correspondence between nets and 3D shapes, as well as for introductory college geometry or math education visualization.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D) → q1, a, b, c, d
  2. Pyramid(Polygon[A, B, C, D], -7) → e, E, face1, face2, face3, face4, edge1, edge2, edge3, edge4
  3. Net(e, f) → g, F, faceFGJ, faceGHK, faceHIL, faceFIM, edgeFG, edgeGH, edgeHI, edgeFI, edgeFJ, edgeGJ, G, edgeGK, edgeHK, edgeHL, edgeIL, edgeIM, edgeFM, H, I, J, K, L, M, faceFGHI