For a cuboid, the relationship between its 6 faces (F), 8 vertices (V), and 12 edges (E) is defined by Euler's Formula: F + V - E = 2, which holds true for all convex polyhedra, meaning 6 + 8 = 12 + 2, or 14 = 14.
For a cuboid, the relationship between its 6 faces (F), 8 vertices (V), and 12 edges (E) is defined by Euler's Formula: F + V - E = 2, which holds true for all convex polyhedra, meaning 6 + 8 = 12 + 2, or 14 = 14.
Solve Step by Step
The plane or flat surface of any solid object is called its face. It is denoted by F in English.
A straight line joining any two faces of solid object is called its edge. It is denoted by the English alphabet E.
The point at which two or more than two edges are joined is called a vertex of the solid object. It is denoted by the English alphabet V.