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- Three-dimensional shape formed by six parallelogram faces
Organizing and summarizing search results for youA parallelepiped is a three-dimensional shape formed by six parallelogram faces. It has eight vertices and twelve edges. The word is derived from the Greek term meaning "a body having parallel bodies". It is similar to a three-dimensional hollow or solid box and is used in real-life applications.5 Sources - See more
See all on WikipediaParallelepiped - Wikipedia
In geometry, a parallelepiped is a three-dimensional figure formed by six parallelograms (the term rhomboid is also sometimes used with this meaning). By analogy, it relates to a parallelogram just as a cube relates to a square. Three equivalent definitions of parallelepiped are a hexahedron with … See more
Any of the three pairs of parallel faces can be viewed as the base planes of the prism. A parallelepiped has three sets of four parallel edges; the edges within each set are of equal length. See more
The surface area of a parallelepiped is the sum of the areas of the bounding parallelograms: See more
A perfect parallelepiped is a parallelepiped with integer-length edges, face diagonals, and space diagonals. In 2009, dozens of perfect parallelepipeds were shown to exist, answering an … See more
The term parallelepiped stems from Ancient Greek παραλληλεπίπεδον (parallēlepípedon, "body with parallel plane surfaces"), … See more
A parallelepiped is a prism with a parallelogram as base. Hence the volume $${\displaystyle V}$$ of a parallelepiped is the product of the … See more
Wikipedia text under CC-BY-SA license Parallelepiped- Definition, Volume and Area Formula, Example
A parallelepiped is a 3-D shape with six parallelogram faces and three pairs of parallel edges. Learn how to find its volume, surface area, diagonal and rectangular case with formulas and …
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Parallelepiped: Formulas, Definition, Volume, Area, Examples
Aug 6, 2024 · Parallelepiped is a three-dimensional structure whose each face is a parallelogram. A parallelepiped has 6 parallelogram faces, 8 vertices, and 12 edges. The structure of a …
Parallelepiped: Definition, Formula, Volume, Area, …
What Is a Parallelepiped in Math? A parallelepiped is a three-dimensional geometric solid with six faces such that each face is a parallelogram. It is also called a prism with a parallelogram base. A parallelepiped is a polyhedron …
Parallelepiped - Definition, Formulas, Examples, and Diagrams
- Has 6 faces; in parallelepiped ABCDEFGH, ABCD, EFGH, EADH, FBCG, ABFE, and DCGH are the faces
- Has 12 edges; AB, BC, CD, DA, EF, FG, GH, HE, EA, AB, BF, and FE are the edges
- Has 8 vertices; A, B, C, D, E, F, G, and H are the vertices
- All faces are in the shape of a parallelogram; ABCD, EFGH, EADH, FBCG, ABFE, and DCG…
- Has 6 faces; in parallelepiped ABCDEFGH, ABCD, EFGH, EADH, FBCG, ABFE, and DCGH are the faces
- Has 12 edges; AB, BC, CD, DA, EF, FG, GH, HE, EA, AB, BF, and FE are the edges
- Has 8 vertices; A, B, C, D, E, F, G, and H are the vertices
- All faces are in the shape of a parallelogram; ABCD, EFGH, EADH, FBCG, ABFE, and DCGH are parallelograms
Parallelepiped - Formulas, Properties, Definition, Examples
A parallelepiped is a three-dimensional shape that is formed by six parallelograms. Parallelepiped has 6 parallelogram-shaped faces, 8 vertices, and 12 edges. Learn the formulas, definition, …
Parallelepiped - Simple English Wikipedia, the free …
In geometry, a parallelepiped is a three-dimensional figure formed by six parallelograms (the term rhomboid is also sometimes used with this meaning). By analogy, it relates to a parallelogram just as a cube relates to a square or as a …
Parallelepiped -- from Wolfram MathWorld
Jan 31, 2025 · In dimensions, a parallelepiped is the polytope spanned by vectors , ..., in a vector space over the reals, where for , ..., . In the usual interpretation, the vector space is taken as Euclidean space, and the content of this …
Parallelepiped: Meaning, Properties & Formulas
Parallelepiped is a three-dimensional shape with six faces, all of which are parallelogram-shaped. It is made up of six faces, eight vertices, and twelve edges. The parallelepiped's edges can be divided into three (3) sets of four (4) edges, …
What is a Parallelepiped? - Interactive Mathematics
A parallelepiped is a three-dimensional shape that has six faces, all of which are parallelograms. It is an important concept in geometry and can be used to help understand other shapes. In this blog post, we'll break down the definition of a …
Rectangular Parallelepiped Formula - GeeksforGeeks
Jul 24, 2024 · A parallelepiped is a geometric solid in three dimensions where all six faces are parallelograms. Below is an in-depth elucidation of its characteristics, mathematical expressions, and illustrative instances.
Parallelepiped: Area, Volume, Rectangular Formula with Examples
May 4, 2023 · What is a Parallelepiped? A parallelepiped is a three-dimensional figure formed by six parallelograms and it can be defined as a polyhedron with six faces also called a …
Here’s All You Need to Know About Rectangular Parallelepiped
What is a Parallelepiped? A Parallelepiped is made up of six parallelograms. It is a 3D shape. The word parallelepiped traces its origin back to the parallelepipdon, a Greek word meaning a body …
Parallelepiped - MATH LAKE
Parallelepiped is a 3-D shape whose faces are all parallelograms. It is obtained from a Greek word which means ‘ an object having parallel plane ’. Basically, it is formed by six …
Learn Everything You Need To Know About Parallelepiped
A parallelepiped is a polygon with six parallelogram-shaped faces, eight vertices, and twelve edges. In the following article, we will look at the properties of a parallelepiped and the various …
Parallelepiped Definition (Illustrated Mathematics Dictionary)
Illustrated definition of Parallelepiped: A prism whose faces are all parallelograms (a parallelogram has opposite sides parallel). It has six faces,...
Parallelepiped: A Simple Explanation - Andrea Minini
A parallelepiped is a type of prism where the bases are parallelograms. It’s a solid with 6 faces, each of which is a parallelogram, along with 12 edges and 8 vertices. A parallelepiped has the …
Rectangular Parallelepiped Formula: Definition and Examples
A rectangular parallelepiped, also known as a rectangular prism or cuboid, is a three-dimensional geometric figure bounded by six rectangular faces. Each pair of opposite faces is parallel and …
What is parallelepiped - Definition and Meaning - Math Dictionary
A parallelepiped is a three-dimensional figure formed by six parallelograms and each being parallel to the opposite face. Learn what is parallelepiped. Also find the definition and meaning …
Q. 16 What is a parallelepiped? What i... [FREE SOLUTION] | Vaia
A parallelepiped is a three-dimensional analog of a parallelogram, in much the same way that a cube is a three-dimensional analog of a square. The parallelepiped determined by the vectors …
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