Question

If the vertices of a polyhedron are 4 and edges are 10, then its number of faces will be​

Answer 1

Given :

• If the vertices of a polyhedron are 4 and edges are 10.

To Find :

• The number of faces ?

Solution :

As we know that,

• Euler's formula = F + V - E = 2

Here,

• V = 4
• E = 10

Putting the values,

➨ F + 4 - 10 = 2

➨ F - 6 = 2

➨ F = 8

∴ Hence, the number of faces is 8.

Answer 2

Here, as per the provided question we have to find the number of faces –

GIVEN :

• Vertices of a polyhedron = 4
• edges of a polyhedron = 10

TO FIND :

• Number of faces in polyhydron = ?

STEP-BY-STEP EXPLANATION :

Now, we will have to find the faces (number of faces in polyhydron) when the basically informations are given :

• Vertices of a polyhedron = 4
• Edges of a polyhedron = 10

→ Number of Faces = ? (Polyhydron)

Formula Used :

• Faces + vertices - Edges = 2

[ substituting the values as per the formula ] :

→ Faces + vertices - Edges = 2

considering the number of faces = x

→ x+ 4 - 10 = 2 [ solving the equation ]

→ x-6 = 2

→ x = 6-2 = 8

Therefore, the number of faces in polyhydron = 8.

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬