Question

5. Verify Euler's formula for the given solid shape.​

Answer 1

Given Solid Shape is the pentagonal pyramid.

Here is the Number of-

Faces(F)= 1 base Face + 5 lateral Faces= 6

Vertices(V)= 5 by pentagon + 1 of the top vertex = 6

Edges (E) = 5 of pentagon + 5 made by 5 vertex of pentagone connnect with Top vertex.= 10

Now,

Eular formula,

V+F= E+2

let us take

L.H.S.= V+F= 6+6=12

& R.H.S.= E+2= 10+2=12

then L.H.S.=R.H.S.

Hence proved