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Prism Surface Area

Prism Surface Area
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2017-04-24 10:21
PolygonSolid GeometryGeometric Construction
In collections Schwing Surface Area Geogebra Book
This example demonstrates the surface area calculation of a prism. Key mathematical concepts include polygons, prisms, and area calculation. Using GeoGebra commands such as Polygon, Prism, and Net, the surface net of the prism can be constructed, providing a visual understanding of the surface area calculation method. Suitable for middle school and above students learning geometry and area calculation.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D) → poly1, a, b, c, d
  2. OrthogonalLine(A, xOyPlane) → f
  3. Point(f) → E
  4. Prism(poly1, E) → e, F, edgeBF, edgeCG, edgeDH, edgeEF, edgeFG, edgeGH, edgeEH, G, H, faceABFE, faceBCGF, faceCDHG, faceADHE, faceEFGH, edgeAE
  5. Net(e, g) → h, I, R, S, T, U, V, faceIJKL, faceIJNM, faceJKPO, faceKLRQ, faceILST, J, faceMNUV, edgeIJ, edgeJK, edgeKL, edgeIL, edgeIM, edgeMN, edgeJN, edgeJO, edgeOP, K, edgeKP, edgeKQ, edgeQR, edgeLR, edgeLS, edgeST, edgeIT, edgeNU, edgeUV, edgeMV, L, M, N, O, P, Q

AI Drawing Prompt Reference

Draw the net of a quadrilateral prism, including the base ABCD and the top A'B'C'D', as well as the six rectangular side faces. First, draw the base ABCD, then draw the top A'B'C'D' on the extension of the base, connect the corresponding vertices of the base and top to form the quadrilateral prism, and finally unfold it into a plane to show all the side faces.
The prompt above was compiled from the original drawing commands and is for reference only.