Answer:
vertices (V) = 6, faces (F) = 12 and edges (E) = 16
Step-by-step explanation:
A polyhedron is a three-dimensional shape with straight edges and flat faces and sharp corners.The point where the faces of a polyhedron meet each other is known as the edge while the corners of the polyhedron is known as the vertices.
Euler formula gives the relationship between the number of vertices (V), faces (F) and edges (E) of a polyhedron. This formula is given as:
F + V - E = 2.
Given that:
E - V = 10, Therefore E = V + 10
F = 2 × V = 2V
Substituting into the Euler formula:
2V + V - (V + 10) = 2
2V + V - 10 - V = 2
2V = 12
V = 12/2 = 6
Therefore, E = V + 10 = 6 + 10 = 16
F = 2V = 2 × 6 = 12
