CTET 2 Math and Science Jan 2021 Paper

Question : 55 of 150

Marks: +1, -0

The number of edges of a polyhedron, which has 7 faces and 10 vertices, is

Solution:

Faces

(F)=7

,
Vertices

(V)=10

Let the number of edges be

E

,
Then, according to Euler's formula,

F+V=E+2

7+10=E+2

E=10+7-2

E=15

∴ The number of edges

(E)=15

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