How to construct the truncated pyramid

How to construct the truncated pyramid

Production of building constructions and metal details requires ability to build pyramid model. In the basis of any pyramid the triangle or a square lies more often, and as side sides serve triangles. The pyramid is carried to polyhedrons. At the truncated pyramid as sides serve trapezes. As well as the usual pyramid truncated is triangular or quadrangular.

It is required to you

  • - pencil;
  • - ruler;
  • - protractor;
  • - glue;
  • - paper;
  • - wire;
  • - soldering iron;
  • - passatizh.


1. truncatedpyramidsIt is possible to construct the model of the ready drawing of a full pyramid in which it is necessary to cut top. At first it is necessary to construct development of a full pyramid on paper. Begin with the basis – depending on the necessary option, it will be a square or an equilateral triangle on given sizes. If you need to construct a pyramid with a large number of sides, then it is necessary to calculate corners and the parties of the basis previously. It is the best of all to do it through a circle by means of compasses.

2. Now be engaged in height of side sides. Height at regular pyramids identical also falls from top in the middle of an edge between this side and the basis. You need to find all middle of edges and to carry out through them perpendiculars to the basis. Measure the size of height necessary to you from points of intersection and specify this place by a point. Connect basis corners to this point. The wrong pyramid demands calculation of height of each side separately.

3. Now cut pyramid top unnecessary us. At the height of one side define a point through which there will pass a secant the plane. You will draw through a point a straight line parallel to the party of the basis. On other sides do the same operation. An unnecessary top part of sides can be removed with an eraser.

4. You pass to the top basis. It passes through all sides on those points that we postponed a pyramid top for cutting off. Connect points and receive a polyhedron which will repeat the basis in the reduced option. Here also your allotment is ready.

5. To collect the truncated pyramid on a pattern, it is necessary to add allowances for pasting. At side sides do allowances on a bottom and top of a side. The top basis can stick together and in a different way – through allowances at each party. Choose that option which is pleasant to you more.

6. It is necessary only to cut out the truncated pyramid, to bend it on lines and to stick together. If you build wire model of the truncated pyramid, then the pattern should not be done. Measure a piece of a wire length on basis perimeter, bend by the necessary option and fix the ends of a wire by accustoming to drinking. Repeat process for the top basis. Also solder pieces of a wire for side edges and level that the model was correct. By the way, the wire for a pyramid has to hold a form well.

Author: «MirrorInfo» Dream Team