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Elementary Geometry

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Rectangular Parallelepiped

  • Edges (sides) of a parallelepiped: \(a\), \(b\), \(c\)
    Diagonal of a parallelepiped: \(d\)
    Surface area: \(S\)
    Volume: \(V\)
    1. A rectangular parallelepiped is a three-dimensional figure bounded by six rectangular faces. A rectangular parallelepiped is a particular case of a prism.
    2. Rectangular parallelepiped
    3. A rectangular parallelepiped whose faces are squares is called a cube.
    4. Diagonal of a rectangular parallelepiped
      \(d = \sqrt {{a^2} + {b^2} + {c^2}} \)
    5. Total surface area of a rectangular parallelepiped
      \(S = 2\left( {ab + ac + bc} \right)\)
    6. Volume of a rectangular parallelepiped
      \(V = abc\)