Question

Using Euler's formula, how manyedges does a polyhedron with 20faces and 12 vertices have?? ] edgesEuler's Formula: F + V = E + 2Enter

Answer 1

SOLUTION:

Case: Euler's formula

Given:

Faces= 20

Vertices =12

Euler's formula: F + V = E + 2

Required: To find the number of Edges

Method:

Step 1: Recreate the formula to isolate E

F + V = E + 2

E = F+V - 2

Step 2: Plug in the value of the variables

E = F+V - 2

E= 20 + 12 - 2

E = 30

Step 3:

The value of E is 30

Final answer:

The Polyhedron has 30 edges