parallelepiped
/,pærəle'lepiped/
Definition
- Noun:
- A three-dimensional geometric figure: A parallelepiped is a six-faced polyhedron (a three-dimensional shape with flat faces). All six faces are parallelograms (four-sided shapes with opposite sides parallel). It is a specific type of prism where the base is a parallelogram.
- A prism with parallelogram bases: In solid geometry, it is defined as a prism whose bases (the top and bottom faces) are identical parallelograms. The lateral faces (side faces) are also parallelograms.
Examples of Usage
- Noun:
Advanced Usage
- "Right parallelepiped": A parallelepiped where the lateral faces are perpendicular to the bases. A common example is a rectangular box (rectangular prism).
- "Oblique parallelepiped": A parallelepiped where the lateral faces are not perpendicular to the bases; it appears slanted.
Variants and Related Words
- Parallelepipedon (n): An alternative, less common term for parallelepiped.
- Parallelogram (n): A two-dimensional, four-sided plane figure with opposite sides parallel. This is the shape that forms each face of a parallelepiped.
- Prism (n): A solid geometric figure whose two ends are identical, parallel polygons, and whose sides are parallelograms. A parallelepiped is a type of prism.
Synonyms
- Geometric solid: A general term for three-dimensional shapes.
- Hexahedron: A polyhedron with six faces. A parallelepiped is a specific type of hexahedron.
Related Phrases
(Note: As a specific geometric term, "parallelepiped" does not have phrasal verbs. Related phrases are technical.) - Volume of a parallelepiped: The formula involves the scalar triple product of the three vectors defining its edges.
Related Idioms
(Note: As a highly technical term, "parallelepiped" is not used in common idioms.)
Noun
-
a prism whose bases are parallelograms
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