Question

5) For a solid figure if F=7, V=7, then E= ---

(a) 14
(b) 7
(c) 10
(d) 12​

Answer 1

Answer:

I think answer your answer is 12

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

For a solid figure if F = 7, V = 7, then E =

(a) 14

(b) 7

(c) 10

(d) 12

CONCEPT TO BE IMPLEMENTED

Euler’s formula for Polyhedron :

For polyhedron F + V = E + 2

Where F stands for number of faces , V stands for number of vertices , E stands for number of edges .

EVALUATION

Here it is given that For a solid figure F = 7, V = 7

F = Number of faces = 7

V = Number of vertices = 7

E = Number of edges = ?

Using Euler’s formula we get

F + V = E + 2

$\implies \sf{7 + 7 =E + 2 }$

$\implies \sf{E + 2 = 14}$

$\implies \sf{E = 12}$

FINAL ANSWER

Hence the correct option is (d) 12

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