How to make a prism of paper?

At the base of the geometric body - prisms lie polygons, and each lateral face - parallelogram. The uninitiated, perhaps a little scared. But if your child is asked to come to the lesson with a prism, you naturally want to help him and explain how to make a prism of paper.

Let's start with the production of a straight prism. In this prism the lateral ribs are perpendicular to the bases. The most simple is to make by your own hands a prism made of paper with three faces, since in its bases lie the simplest of polygons - triangles. We will make the "right" prism. Its bases are represented by equilateral triangles.

Triangular prism

We will consider what height our triangular prism will be made of paper. Draw a rectangle with one side equal to the height and the other equal to the length of the perimeter of the triangle at the bottom. The resulting rectangle is divided by parallel straight lines into three equal parts. From the corners of the rectangle in the middle, circulate the circle with a radius equal to the side of our triangle at the bottom. Where the circles intersect beyond the original rectangle, we place the points and connect them to the centers of the circles. We need to get the figure shown in the middle of the picture.

Next, the figure is cut out with small allowances for gluing, bending along the existing straight lines and getting a finished prism.

On what template the prism made of paper with four faces is made, the diagram in the figure demonstrates.

Hexagonal prism

An example of a blank for a pentahedral prism is shown in the figure.

Here the height of the pyramid is 10 cm, the length of the sides of the pentahedron is 3 cm at the base. Similarly, a hexagonal prism made of paper can be made, but there is a hexagon in its base.

Inclined prism

The inclined paper prism is shown in this figure.

Its lateral faces are at an angle to the base. Such a prism can be made by pattern-scan. Having mastered the manufacture of the prism, you can proceed to the following geometric figures: a pyramid , a parallelepiped and a more complex icosahedron made of paper .