Question

For a polyhedron if V = 3 and E = 5 then the value of F is
a) 6
b) 4
c) 7
​

Answer 1

${\large{\pmb{\sf{\underline{RequirEd \; Solution...}}}}}$

⋆ There is a case given, vertices v and edges e are given here!

⋆️ So according to the question and the given data it is already cleared to us that which formula have to implied here.

${\qquad \qquad{\small{\underline{\boxed{\sf{\circ \: \: F+V-E=2}}}}}}$

⠀⠀⠀⠀⠀⠀⠀⠀Where, F denotes Number of faces, V denotes number of vertices and E denotes number of edges.

⠀⠀⠀⠀⠀⠀⠀Here, V is 3 and E is 5.

Now let's solve all the given parts! Just for all the parts we have to use the below mentioned formula -

${\qquad \qquad{\small{\underline{\boxed{\sf{\circ \: \: F+V-E=2}}}}}}$

››› F + V - E = 2

››› F + 3 - 5 = 2

››› F - 2 = 2

››› F = 2 + 2

››› F = 4

››› Faces = 4, Option b)