Which one of the following is a regular polyhedron?
Which one of the following is a regular polyhedron?
The correct option is A Cube
The regular polyhedron
A regular polyhedron is formed of regular polygons, which means that all of its edges are congruent. It includes shapes such as triangle prisms, square prisms, rectangle pyramids, square pyramids, and cubes (platonic solids).
The explanation for Correct options:
Option (A). Cube
A cube is a platonic solid because all six of its faces are congruent squares and each vertex is produced by the same number of faces. hence it is a regular polyhedron
Hence Option (A) is the correct option.
The explanation for Incorrect options:
Option (B). Cuboid
A cuboid is not a regular polyhedron since, even if each vertex is produced by the same number of faces but are not congruent rectangles hence the cuboid is not a regular polyhedron
Option (C). Square pyramid
A square pyramid characterized by a rectangular base is a form having faces referred to as a pentahedron, and faces are not congruent one of them is square and the rest are triangles, therefore it's not a regular polyhedron.
Option (D). Rectangular prism
A rectangular pyramid characterized by a rectangular base is a form having faces referred to as a pentahedron, and faces are not congruent one of them is rectangular and the rest are triangles, therefore it's not a regular polyhedron.
Hence, the correct option is “option (A)”.
Cube
The regular polyhedron
A regular polyhedron is formed of regular polygons, which means that all of its edges are congruent. It includes shapes such as triangle prisms, square prisms, rectangle pyramids, square pyramids, and cubes (platonic solids).
The explanation for Correct options:
Option (A). Cube
A cube is a platonic solid because all six of its faces are congruent squares and each vertex is produced by the same number of faces. hence it is a regular polyhedron
Hence Option (A) is the correct option.
The explanation for Incorrect options:
Option (B). Cuboid
A cuboid is not a regular polyhedron since, even if each vertex is produced by the same number of faces but are not congruent rectangles hence the cuboid is not a regular polyhedron
Option (C). Square pyramid
A square pyramid characterized by a rectangular base is a form having faces referred to as a pentahedron, and faces are not congruent one of them is square and the rest are triangles, therefore it's not a regular polyhedron.
Option (D). Rectangular prism
A rectangular pyramid characterized by a rectangular base is a form having faces referred to as a pentahedron, and faces are not congruent one of them is rectangular and the rest are triangles, therefore it's not a regular polyhedron.
Hence, the correct option is “option (A)”.
