Question

The given figure is an example of

Answer 1

Hint: Here, the given question is to find out the given figure is of which example. Clearly, we can say that the figure is of a tetrahedron. And also, we can know about the basic terminology of a tetrahedron and its properties. Based on the definition, we can solve the given question.

Complete step by step answer:
A platonic solid is a regular convex polyhedron in a three-dimensional space with identical faces consisting of congruent convex regular polygonal faces. The tetrahedron, cube, octahedron, dodecahedron, and icosahedral are the given solids that follow this criterion.
Tetrahedron: In geometry, a tetrahedron is known as a triangular pyramid. It is a polyhedron composed of four triangular faces, six straight edges and four vertex corners. In simple words, a tetrahedron is a platonic solid which has a three-dimensional shape having all faces as triangles.

Tetrahedron Characteristics:
1.A tetrahedron will have four sides (tetrahedron faces), six edges (tetrahedron edges and 4 corners.
2.All four vertices are equally distant from one another.
3.Three edges intersect at each vertex.
4.It has six symmetry planes.
5.A tetrahedron has no parallel faces, unlike most platonic solids.
6.On all of its sides, a regular tetrahedron has equilateral triangles.

Structures of tetrahedron:
1.Right and Oblique Tetrahedrons
2.Regular and Irregular Tetrahedrons

From the above definition of tetrahedron and its properties, we can say that the given figure is of a tetrahedron and of structure irregular tetrahedron.
Irregular Tetrahedron has triangular faces but they are not equilateral. In each plane, the internal tetrahedron sums up to 180 degrees as they are triangular.
Hence, it is an example of a tetrahedron.

Note: Students might be confused about the difference between the tetrahedron and a pyramid. The main difference between pyramid and tetrahedron is that pyramid is a solid with triangular lateral faces and a polygonal base while tetrahedron is a polyhedron composed of four triangular faces, six straight edges and four vertex corners.