truncated pyramid
Definition
Noun: A truncated pyramid is a geometric solid. It is the portion of a pyramid that remains after its top part has been cut off by a plane parallel to the base. This shape has two parallel polygonal faces (the original base and the new, smaller top face) and trapezoidal lateral faces.
Usage
The term is used in geometry, architecture, engineering, and design to describe a specific three-dimensional shape. - The ancient structure was not a perfect pyramid but a truncated pyramid. - Calculate the volume of the truncated pyramid with a square base.
Advanced Usage
- In technical contexts, a truncated pyramid is formally called a frustum of a pyramid or simply a pyramidal frustum. The word "frustum" itself means a piece cut off.
Variants and Related Words
- Frustum (of a pyramid): The precise mathematical term for a truncated pyramid.
- Truncated Cone: The analogous shape formed from a cone.
Synonyms
- Pyramidal frustum
- Frustum of a pyramid
Antonyms
- Complete pyramid
- Regular pyramid
Related Phrases/Concepts
- Parallel planes: The two bases of a truncated pyramid lie on parallel planes.
- Trapezoidal faces: The sides of a truncated pyramid are trapezoids (or truncated triangles).
Noun
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a frustum formed from a pyramid
