Question

I need help with this question please

Answer 1

Given:

Number of faces = 6

Number of vertices = 8

Formula used:

Euler's formula:

F + V - E = 2

F = Number of Faces of Polyhedron

V = Number of Vertices of Polyhedron

E = Number of Edges of Polyhedron

Calculations:

Let the polyhedron have E edges,

6 + 8 - E = 2

14 - E = 2

E = 14 - 2

E = 12

Therefore:

The Polyhedron has 12 edges

Answer 2

A polyhedron with 6 faces and 8 vertices has 12 edges.

Explanation:

Euler Formula is given in the problem:

• F + V = E + 2

We are told that the polyhedron has 6 faces (F = 6) and 8 vertices (V = 8). The only unknown variable in Euler's Formula now is E = number of edges.

Substitute the known variables into the formula and solve for E.

• 6 + 8 = E + 2
• 14 = E + 2
• 12 = E
• E = 12

A polyhedron with 6 faces and 8 vertices has 12 edges.