A parallelepiped is a polyhedron with six faces.
For a rectangular parallelepiped, all six faces are rectangles. For an arbitrary parallelepiped, all six faces of the parallelogram.
How can you understand and remember the word parallelepiped? Divide it into two parts: parallel - means parallel (Greek), piped - means the plane (Greek). Or a geometric body bounded by parallelplanes.
To understand this shape, we need to think of a regular brick.
2. A parallelepiped having a slope in two planes. Both pairs of side faces are not perpendicular to the base.
Download the net of the inclined parallelepiped for printing on A4 sheet
Geometrical dimensions of the finished parallelepiped model (mm): Length = 105 Width = 80 Height = 43 The tilt angle of the 1st pair of side faces = 26.3 ° The tilt angle of the 2nd pair of side faces = 16 °
There are cases when the word parallelepiped is confused with the word parallelogram. And, indeed, these words are very similar.
So what is the difference between parallelepiped and parallelogram? A parallelogram is a quadrangle whose opposite sides are parallel. That is, they lie on parallel straight lines. Special cases of the parallelogram are rectangle, square, and rhombus. A parallelogram, however, is a flat figure. A parallelepiped is a volume solid, all faces of which are parallelograms. A parallelepiped is a polyhedron with six faces and a parallelogram each.
Joke: "Sometimes, careless students try to calculate how many grams are in a parallelogram and how many parallels piped are in a parallelepiped!"