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State and calculate the projection of AF on the plane EFGH, given the dimensions of cuboid ABCDEFGH.

Mathematics

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Given dimensions of the cuboid ABCDEFGH:

  • Length AB=12 cmAB = 12 \text{ cm}
  • Width BC=8 cmBC = 8 \text{ cm}
  • Height AH=4 cmAH = 4 \text{ cm} (This means AE=BF=CG=DH=4 cmAE = BF = CG = DH = 4 \text{ cm})

Part (a): State and calculate the projection of AF on the plane EFGH.

  1. State the projection:
    • The plane EFGH is the top face of the cuboid.
    • To find the projection of line AF onto plane EFGH, we project each endpoint of the line segment onto the plane.
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