parallelepiped

/,pærəle'lepiped/

Thân thiện

A child builds a tall tower with colorful wooden parallelepiped blocks.

Definition

1. 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.)

Học thuật

Noun

1. a prism whose bases are parallelograms

Từ đồng nghĩa

• parallelopiped
• parallelepipedon
• parallelopipedon