Question

What will be the number of faces if there are 6 vertices and 12 edges
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Answer 1

Answer:

octahedron

Step-by-step explanation:

In geometry, an octahedron (plural: octahedra) is a polyhedron with eight faces, twelve edges, and six vertices.

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Answer 2

Given:

The number of vertices=6

The number of edges=12

To find:

The number of faces

Solution:

The number of faces is 8.

We can find the number of faces by following the given steps-

We know that the number of faces of a polygon can be determined by adding the number of edges and 2 and then deducting the number of vertices.

So, for any polygon, we know that

Number of faces+Number of vertices= Number of edges+2

It is given that the number of vertices of the polygon is 6 and the number of edges is 12.

Let the number of faces be F.

On putting the values, we get

F+6=12+2

F+6=14

F=14-6

F=8

So, the polygon has 8 faces.

Therefore, the number of faces is 8.