Question

Which amongst the following is a polyhedron?

A. Cone
B. Sphere
C. Cube
D. Cylinder

Answer 1

Hint:
We must know what a polyhedron is, a polyhedron is a three-dimensional shape with flat polygonal faces, straight edges, and sharp corners or vertices. Hence, now we will try to find these properties in the given choices and the appropriate one would be our final answer

Complete step by step solution:
In the given four choices cone, sphere, cube, and cylinder.

Option A: Cone

In a cone, there is no solid flat face on the curved surface of the cone.
Hence, the cone cannot be a polyhedron.

Option B: Sphere

In a sphere, there are no solid flat faces anywhere in the 3-D sphere.
Hence, the sphere cannot be a polyhedron.

Option C: Cube

  

In a cube, all the 6 faces of a cube are flat faces and sharp edges.
Hence, a cube satisfies all the properties of a tetrahedron.

Therefore, a cube is a polyhedron

Option D: Cylinder

In a cylinder, the curved surface area of the cylinder does not contain any solid flat faces.
Hence, a cylinder cannot be a polyhedron

Hence, the cube is the required answer.

Therefore, our final answer is C.

Note:
We should remember that there are only 5 polyhedrons, that is,3D shapes that consist of regular polygon faces that are all equal in size. That is

The 5 polyhedrons that consist of regular polygon faces that are all equal in size are:
(1) Tetrahedron
(2) Cube
(3) Octahedron
(4) Dodecahedron
(5) Icosahedron