Question

Что такое параллепипед

Answer 1

Параллелепипед - шестигранник с параллельными и равными противоположными гранями.

Answer 2

What is a Parallelepiped?

A parallelepiped is a three-dimensional figure that has six faces, each of which is a parallelogram. It is a polyhedron with six parallelogram faces, where each pair of opposite faces is equal in size and parallel to each other. The parallelepiped is a generalization of the parallelogram to three dimensions.

In mathematical terms, a parallelepiped is defined by three pairs of vectors, which represent the edges of the parallelepiped that meet at a common vertex. The volume of a parallelepiped is given by the scalar triple product of the vectors defining its edges.

The formula for the volume of a parallelepiped is given by the determinant of a 3x3 matrix formed by the vectors representing its edges.

Key Points: - A parallelepiped is a three-dimensional figure with six faces, each of which is a parallelogram. - It is defined by three pairs of vectors representing its edges. - The volume of a parallelepiped is given by the determinant of a 3x3 matrix formed by the vectors representing its edges.

[[7 #]], [[8 #]], [[9 #]]