Math, asked by harshilmehra1308, 3 days ago

A polyhedron has 6 faces and 12 edges. How many vertices does it have?​

Answers

Answered by satyamdantare1to3
1

Answer:

F+V-E = 2 ( Euler Formula)

6+V-12=2

V-6 =2

V =8

Step-by-step explanation:

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Answered by Anonymous
3

Given

  • A polyhedron has 6 faces and 12 edges. How many vertices does it have?

To Find

  • Verticles= ?

Solution

EVALUATION

Here it is given that a polyhedron has 6 vertices and 12 edges

V = Number of vertices = 6

E = Number of edges = 12

F = Number of faces = ?

By Euler’s formula

F + V = E + 2

⇒ F + 6 = 12 + 2

⇒ F + 6 = 14

⇒ F = 8

Therefore

The number of faces = 8

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