Question

Identify the number of vertices, edges, and faces of the polyhedron. Use your results to verify Euler's formula.

Answer 1

The Euler's formula relates the vertices, faces and the edges of a polyhedron.

The correct option is (e) $V = 6$    $E = 10$    $F = 6$     $6- 10 + 6 = 2$

First, we count the number of faces. This is the flat parts of the shape.

The attached shape has 6 flat surfaces.

So:

$F = 6$

Next, we count the number of edges. This is where two faces meet.

The attached shape has 10 edges;

So:

$E = 10$

Lastly, we count the number of vertices. This is where two edges meet.

The attached shape has 6 vertices.

So:

$V = 6$

Using Euler's formula, we have:

$V - E + F = 2$

Substitute values for V, E and F

$6- 10 + 6 = 2$

$2 = 2$

Hence, the polyhedron has 6 vertices, 10 edges and 6 faces

Read more vertices, edges, and faces at:

https://brainly.com/question/23347978