Question

A polyhedron has 25 faces and 36 edges. How many vertices does it have?

Answer 1

QUESTION-:

A polyhedron has 25 faces and 36 edges. How many vertices does it have?

EXPLANATION-:

From the euler's formula-:

$\leadsto \boxed{\underline{\bf\;\dag\;\;V-E+F=2\;\;\dag}}$

where V, E, and F are the numbers of vertices, edges, and faces of any simple convex polyhedron

Putting values in the formula-:

→V-36+25=2

→V-11=2

→V=2+11

→V=13

∴The number of vertices are 13 !