Question

A polyhedron whose faces are identical regular polygons are called
I.Convex polyhedron
II.Regular polyhedron
III.Concave polyhedron
IV.Irregular polyhedron

Answer 1

Hint: Polygon: A polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain or polygonal circuit. The solid plane region, the bounding circuit, or the two together, may be called a polygon. Polygon can be named after the number of side’s are- triangle, square, pentagon etc.

Complete step-by-step answer:
A polyhedron whose faces are identical regular polygons are regular polyhedra.
Convex polyhedra where every face is the same kind of regular polygon may be found among three families: Triangles. These polyhedra are called deltahedra. These are eight convex deltahedra. Three of the platonic solids and five non-uniform examples. Squares: the cube is the only convex.

For example Cube, and you will see that all its faces are squares and each face is the same as all others.
Polyhedra may be classified and are often named according to the number of faces. The naming system is based on classical Greek.
A convex polyhedron can also be defined as a bounded intersection of finitely many half spaces, or as the convex hull of finitely many points. Convex polyhedra are highly symmetrical platonic solids, the Archimedean solids, and their duals the Catalan solids, and the regular-faced Johnson solids.
So, the correct answer is “Option II”.

Note: A polygon may be regular or irregular. A regular polygon has all sides of equal length and all angles are equal size. An irregular polygon has sides of different angles and different lengths. Some kinds of polygon are triangle (having three sides), square (having four sides), pentagon (having five sides), and hexagon (having six sides).