Question

How many edges are there in a cuboid

Answer 1

Edges in a cuboid

1. A cuboid is a three-dimensional shape that has varying length, breadth, and height.
2. It is basically a rectangle with height.
3. An edge is a line segment connecting two vertices and a side of one of the faces of the cuboid.
4. A vertex is a point defining the corner of a polygon.
5. A face is a flat surface of a 3D polygon.
6. 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.
7. A cuboid has $8$ vertices and $6$ faces.

$\therefore 8-E+6=2\Rightarrow E=12$

Thus a cuboid has $12$ edges. Hence a cuboid has $12$ edges.