You will need
• - the range;
• pencil;
• a pair of compasses.
Instruction
1
Design side of four-sided truncated pyramid onto the plane. You will get isosceles trapezoid. The upper and lower bases of the trapezoid built respectively equal to the edge lengths of the upper and lower bases of a truncated pyramid. The sides of the trapezoid is equal to the lengths of the lateral edges of a truncated pyramid.
2
Using a ruler and pencil, continue the lateral side of the trapezoid up to the intersection. You got an isosceles triangle. Measure with a ruler the length of the constructed triangle.
3
On a separate sheet, draw a circle whose radius is equal to the derived value. Mark on the circle the point. Aside from a given point a segment equal to the length of the bottom base of the truncated pyramid. Consistently set aside a few more segments. Their number must match the number of faces of the pyramid. So the tetrahedral pyramid build all the 4 lines.
4
Connect the ends of the segments with the center of the circle. You got some isosceles triangles with one common side. The number of triangles corresponds to the number of faces of the pyramid. So the tetrahedral pyramid they will be 4.
5
Put on the sides of the triangles from the points on the circle segments equal to the length of the lateral edges of a truncated pyramid. Connect successively the points obtained. So you built the segments are equal in length to the side of the smaller base of a truncated pyramid. In the end, you get a scan of the lateral faces of a truncated pyramid.
6
Construct a regular polygon equal to the lower base of a truncated pyramid at the base of the first trapezoid sweep. So for tetrahedral truncated pyramid draw a square, one side of which will coincide with the lower base of the trapezoid. The same way to "build out" a square, equal to upper base of a truncated pyramid. Erase unnecessary pencil lines. Scan quadrangular truncated pyramid is ready.