A polyhedron has 6 faces and 8 vertices. How many edges does it have?1

1.	A polyhedron has 6 faces and 8 vertices. How many edges does it have?1. 102. 123. 144. 15
Answer» Correct Answer - Option 2 : 12 Given: Number of faces = 6 Number of vertices = 8 Formula used: Euler's formula for polyhedron F + V - E = 2 Where, F = Number of Faces of Polyhedron V = Number of Vertices of Polyhedron E = Number of Edges of Polyhedron Calculations: Let the polyhedron has E edges, ⇒ 6 + 8 - E = 2 ⇒ 14 - E = 2 ⇒ E = 14 - 2 ⇒ E = 12 ∴ The Polyhedron has 12 edges

A polyhedron has 6 faces and 8 vertices. How many edges does it have?1. 102. 123. 144. 15

Answer» Correct Answer - Option 2 : 12

Given:

Number of faces = 6

Number of vertices = 8

Formula used:

Euler's formula for polyhedron

F + V - E = 2

Where,

F = Number of Faces of Polyhedron

V = Number of Vertices of Polyhedron

E = Number of Edges of Polyhedron

Calculations:

Let the polyhedron has E edges,

⇒ 6 + 8 - E = 2

⇒ 14 - E = 2

⇒ E = 14 - 2

⇒ E = 12

∴ The Polyhedron has 12 edges