Question

How many edges does a cube have?

Answer 1

Hint: First of all, draw a cube then a cube is bounded by six square faces, facets or sides, with three meeting at each vertex.

Complete step by step solution:
We have to find the edges of the cube, so the cube is a 3D figure, here is how you can quickly visualize: The cube is bordered by six squares. Each square has 4 edges. So that would give you 24 edges. But joining each pair of square share edges.
 

From the above figure we can clearly that, Edge, Vertex, face.
Edge: - An edge is a line segment between faces.
Vertex: - A vertex is a corner of a cube and a vertex is a point where two or more lines segments meet.
Face: - A face is a single flat surface.

Now, we can easily find out the number of edges of a cube, so from the figure there are 12-line segments between the faces of the cube.
So, the cube has 12 edges.
Now, a cube has: -
6 faces (all square).
8 vertices (3 faces meet in each vertex).
12 edges (2 faces meet in each edge).

Hence, our required answer is 12.

Note:
The cube is the only one regular hexahedron and is one of the five platonic solids. We can also solve this question by “Euler’s Formula”.
For many solid shapes the
Number of faces (F).
Plus, the number of vertices (V).
Minus the number of edges (E).
The Euler’s formula is always equal to 2.
This can be written as: -
$ \Rightarrow $$F + V - E = 2$