Answer:
21 edges does the gemstone have
Step-by-step explanation:
By Leonard Euler's Polyhedral Formula:
[tex]v+f-2 = e[/tex] .....[1]
where,
v is the vertices
f is the faces
e is the edges.
As per the statement:
Mario’s company makes unusually shaped imitation gemstones.
One gemstone has 12 faces and 11 vertices.
⇒f = 12 and v = 11
Substitute these in [1] we have;
[tex]11+12-2 = e[/tex]
⇒[tex]23-2 = e[/tex]
Simplify:
⇒[tex]21= e[/tex]
Therefore, 21 edges does the gemstone have
