MCQ IN COMPUTER SCIENCE & ENGINEERING

Detailed explanation-1: -The second, also called the Euler polyhedra formula, is a topological invariance (see topology) relating the number of faces, vertices, and edges of any polyhedron. It is written F + V = E + 2, where F is the number of faces, V the number of vertices, and E the number of edges.

Detailed explanation-2: -Euler’s Formula for Polyhedrons Euler’s polyhedra formula shows that the number of vertices and faces together is exactly two more than the number of edges. We can write Euler’s formula for a polyhedron as: Faces + Vertices = Edges + 2. F + V = E + 2.

Detailed explanation-3: -V-E + F = 2; or, in words: the number of vertices, minus the number of edges, plus the number of faces, is equal to two.

Detailed explanation-4: -Euler’s Number ‘e’ is a numerical constant used in mathematical calculations. The value of e is 2.718281828459045…so on.

Detailed explanation-5: -It states that the number of faces, plus the number of vertices, minus the number of edges on a polyhedron always equals two. It is written as F + V-E = 2. For example, a cube has six faces, eight vertices, and 12 edges. Plugging into Euler’s formula, 6 + 8-12 does, in fact, equal two.