What is the term for a rectilinear parallelepiped?

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SUMMARY

The term for a rectilinear parallelepiped is commonly referred to as a "cuboid." In discussions, variations such as "rectangular cuboid" and "square cuboid" are used to describe cuboids with different dimensional characteristics. Specifically, a "prolate cuboid" and "oblate cuboid" are identified based on the repetition of dimensions. A cuboid is defined as a polyhedron derived from a cube through stretching or shearing transformations.

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  • Understanding of geometric shapes and definitions
  • Familiarity with polyhedra and their classifications
  • Knowledge of dimensional terminology (e.g., prolate, oblate)
  • Basic research skills to utilize resources like Wikipedia
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  • Research the properties of cuboids and their applications in geometry
  • Explore the differences between prolate and oblate shapes
  • Learn about polyhedron classifications and their characteristics
  • Investigate the mathematical transformations that create cuboids from cubes
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Students of geometry, educators teaching mathematical concepts, and anyone interested in the classification of three-dimensional shapes will benefit from this discussion.

swampwiz
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I guess it could be called a cuboid, but the corresponding circular shape called a spheroid has the dimension in 2 of the axes as the same. Perhaps it is called rectoid or rectohedron?
 
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I'll just refer to the case of no repeated dimensions as cuboid, and with one repeated dimension as square cuboid, which can be of the two types prolate cuboid & oblate cuboid.
 
I'll just refer to the case of no repeated dimensions as rectangular cuboid, and with one repeated dimension as square cuboid, which can be of the two types prolate square cuboid & oblate square cuboid. It seems that a cuboid is any polyhedron that was originally a cube, but with any manner of applied stretch and/or shear.
 

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