Question

Euler's formula, V − E + F = 2, relates the number of vertices V, the number of edges E, and the number of faces F, of a polyhedron. Solve Euler's formula for E.

Answer 1

To solve for the number of edges (E) in Euler's formula, rearrange it to E = V + F - 2, by adding E to both sides and then subtracting 2 from both sides.

Step-by-step explanation:

Euler's formula states that for any polyhedron, the number of vertices (V), edges (E), and faces (F) are related by the equation V - E + F = 2. To solve for E, we simply rearrange the formula. We add E to both sides and subtract 2 from both sides to solve for the number of edges.

The rearranged formula is E = V + F - 2. Thus, the number of edges in a polyhedron can be found by taking the number of vertices and faces, adding them together, and then subtracting two.

Answer 2

V - E + F = 2.....add E to both sides
V + F = 2 + E ...now subtract 2 from both sides
V + F - 2 = E <==