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Charles Hutton's Dictionary (1795) shows parallelopiped and parallelopipedon, showing the influence of the combining form parallelo-, as if the The 1989 edition of the Oxford English Dictionary describes parallelopiped (and parallelipiped) explicitly as incorrect forms, but these are. — “Parallelepiped - Wikipedia, the free encyclopedia”, en.wikipedia.org
Thus, the (squared) volume of the parallelopiped (base area times perpendicular height) is In vector algebra, the volume of a parallelopiped is given by the square root of the squared norm of the. — “Comparison of vector algebra and geometric algebra”, en.wikipedia.org
In geometry, a base is a side of a plane figure or face of solid, particularly one perpendicular to the direction height is measured or on what is considered to the bottom. This usage can be applied to a triangle, parallelogram, trapezoids, cylinder, pyramid, parallelopiped or frustum. — “Base (geometry) - Wikipedia, the free encyclopedia”, en.wikipedia.org