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  1. Properties

    Any of the three pairs of parallel faces can be viewed as the base planes of the prism. A parallelepiped has three sets of four parallel edges; the edges within each set are of equal length.
    Parallelepi… See more

    Volume

    A parallelepiped is a prism with a parallelogram as base. Hence the volume of a parallelepiped is the product of the base area and the height (see diagram). With
    • (where is the angle between vectors and ), and… See more

    Surface area

    The surface area of a parallelepiped is the sum of the areas of the bounding parallelograms: (For labeling: see previous section.) See more

    Special cases by symmetry

    • The parallelepiped with Oh symmetry is known as a cube, which has six congruent square faces.
    • The parallelepiped with D4h symmetry is known as a square cuboid, which has two square faces and four congruent r… See more

     
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