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Net of a Rectangular Prism

Net of a Rectangular Prism
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2017-03-28 01:31
Solid GeometryTransformationGeometric Construction
This example demonstrates the net of a rectangular prism. It involves the geometric construction of a rectangular prism and shows how to transform it into a plane figure through rotation and translation. Commands used include Point, Segment, Rotate, Polygon, Prism, Net, and Midpoint. Suitable for middle school and above students learning solid geometry.

GeoGebra Commands & Parameters

  1. Point(Circle[A, Length]) → B
  2. Segment(A, B) → a
  3. Point(Circle[A, Width]) → C
  4. Segment(A, C) → b
  5. Rotate(A, α, A) → A'
  6. Rotate(C, α, A) → C'
  7. Segment(A', C') → b'
  8. Point(Circle[B, Width]) → D
  9. Segment(B, D) → c
  10. Rotate(B, α, B) → B'
  11. Rotate(D, α, B) → D'
  12. Segment(B', D') → c'
  13. Segment(C', D') → d
  14. Polygon(A, B, D', C') → poly1, a_1, b_1, d', c'_1
  15. Prism(poly1, Height) → e, E, edgeAE, edgeBF, edgeD'G, edgeC'H, edgeEF, edgeFG, edgeGH, edgeEH, F, G, H, faceABFE, faceBD'GF, faceC'D'GH, faceAC'HE, faceEFGH
  16. Net(e, Net) → g, 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
  17. Midpoint(edgeEH) → W
  18. Midpoint(edgeGH) → Z
  19. Midpoint(edgeD'G) → A_1
  20. Midpoint(edgeIM) → B_1
  21. Midpoint(edgeUV) → C_1
  22. Midpoint(edgeMV) → D_1
  23. Midpoint(edgeJO) → E_1
  24. Midpoint(edgeOP) → F_1