Name a solid having least number of polygonal faces
Answers
Answer:
Step-by-step explanation:
A Platonic solid is a polyhedron, or 3 dimensional figure, in which all faces are congruent regular polygons such that the same number of faces meet at each vertex. There are five such solids: the cube (regular hexahedron), the regular tetrahedron, the regular octahedron, the regular dodecahedron, and the regular icosahedron.
The tetrahedron has four faces, all of which are triangles. It also has four vertices and six edges. Three faces meet at each vertex.
The cube has six faces, all of which are squares. It also has eight vertices and twelve edges. Three faces meet at each vertex.
The octahedron has eight faces, all of which are triangles. It also has six vertices and twelve edges. Four faces meet at each vertex.
The dodecahedron has twelve faces, all of which are pentagons. It also has twenty vertices and thirty edges. Three faces meet at each vertex.
The icosahedron has twenty faces, all of which are triangles. It also has twelve vertices and thirty edges. Five faces meet at each vertex.
It is easy to verify that all five Platonic solids satisfy Euler's polyhedral formula.
triangle solid having least number of polygon.