Starting to undergo stereometry at school, not everyone can immediately orient in space: this is not a plane. Sometimes even the simplest questions are baffled. For example, how many faces does the box have? This is not so easy to answer the first time, because most of us are likely to start counting, imagining the figure in our heads. In this article we will understand what a parallelepiped is, why it was called that way, and how many faces a parallelepiped has. You will learn all this and much more from this article.
How many faces does the box have and what is it
Based on the name, we can already conclude that there are parallel lines. So, a parallelepiped is a three-dimensional figure, or rather, a polyhedron having six faces, each of which is a parallelogram.
What is a parallelogram? This is a quadrangle in planimetry, in which the opposite sides are pairwise parallel and equal. A parallelogram having at least one right angle (the others automatically equal 90 degrees) is a rectangle. If all sides are also equal, and the angles are straight, then this is a square.
From the definition, we understood how many faces the box has. Answer: there are 6 of them.
And how many faces does a parallelepiped have? In fact, all types of these polyhedra have the same number of faces: in all cases there are six of them.
A rectangular parallelepiped is a polyhedron whose faces are not parallelograms, but rectangles.
A square instead of parallelograms has squares. Such a box is called a cube. He has all the faces, edges and diagonals equal.
Conclusion
So, in this article we examined what a parallelepiped is, what it costs from and how many faces a parallelepiped has. And also what are the varieties.
Geometry is an exact and interesting science that is worth studying, because it will come in handy in life if you need to design something. Do not be lazy, learn new material!