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Properties of the tetrahedron: Number of faces, edges and dihedral angle measure. The tetrahedron is one of the five Platonic solids. 4 faces: equilateral triangles. 4 vertices. 6 edges. Dihedral angles: 70 degrees, 32 minutesHow to find the volume of a tetrahedron?
We can use the simplification formula and compute the determinant of a 3-by-3 matrix whose columns are (1, 0, 1), (0, 1, 1), and (2, 2, 2). Dividing this determinant by 6 yields the volume. In this example, the volume of the tetrahedron is 1/3.What is the difference between Pyramid and tetrahedron?
is that pyramid is (geometry) a solid with triangular lateral faces and a polygonal (often square or rectangular) base while tetrahedron is (geometry) a polyhedron with four faces; the regular tetrahedron, the faces of which are equal equilateral triangles, is one of the platonic solids.How to sketch a tetrahedron?
Tetrahedron is a popular platonic solid for designers. We’ve explained how to draw them using equilateral triangles here before. Recently I’ve found (sorry, lost the web adress) a much quicker way of modeling a Tetrahedron using a cube. It’s very simple, just connecting the three opposite corners of the cube automatically makes them equal, resulting the four equal faces.