Question

How many edges are there in a cube?

Answer 1

Edges in a cube

A cube is a three-dimensional shape bounded by six square faces.

An edge is a line segment connecting two vertices and a side of one of the faces of the cuboid.

A vertex is a point defining the corner of a polygon.

A face is a flat surface of a 3D polygon.

The relationship between vertices, faces and edges is given by Euler's formula,
$V-E+F=2$
Where $V$ is the number of vertices, $E$ is the number of edges and $F$ is the number of faces.

Here, $V=8,F=6$ $\therefore 8-E+6=2\Rightarrow E=12$

A cube has $12$ edges.

Hence, a cube has $12$ edges.