Nota: A tradução desta entrada está atualmente em revisão de qualidade, portanto parte do conteúdo é exibida temporariamente apenas em inglês.
Este verbete ainda não foi traduzido para o seu idioma, portanto o original é exibido abaixo.
parallelepiped
This term describes a specific geometric solid that serves as the three-dimensional analogue of a parallelogram. It is primarily used in technical contexts such as vector calculus, linear algebra, and crystallography to describe volumes defined by three non-coplanar vectors.
Because it is a specialized mathematical term, it is almost exclusively found in academic or professional scientific literature. It carries a neutral, precise connotation, devoid of the casual associations found in more common terms like box or block.
Meanings
Examples
The volume of a parallelepiped is calculated using the scalar triple product of its edge vectors.
Is a cube considered a special type of parallelepiped?
The crystal structure resembles a skewed parallelepiped under the microscope.
I need to find the surface area of this parallelepiped for my geometry homework.
A rectangular parallelepiped has all right angles between its adjacent faces.
Wait, so every face of a parallelepiped must be a parallelogram.
The architect designed the building as a massive glass parallelepiped.
If the vectors are coplanar, the resulting parallelepiped has zero volume.