Which of the following is a regular polyhedron?

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

Cuboid

Triangular prism

Cube

Square prism

answer is C.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Given solid is a regular polyhedron.
We know that a polyhedron is regular if its faces are made up of regular polygons and the same number of faces meet at each vertex.
In cuboid,
Question Image

Faces of the cuboid are not congruent rectangles. So, cuboid is not a regular polyhedron.
In triangular prism,
Question Image

It has two triangular faces and three rectangular sides and vertices are not formed by the same number of faces. So, a triangular prism is not a regular polyhedron.
In cube,
Question Image

Since, vertices are formed by the same number of faces so, a cube is a regular polyhedron.
In square prism,
Question Image

Since, all the faces are not identical so a square prism is not a regular polyhedron.
Hence, option (3) is correct.

Watch 3-min video & get full concept clarity