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Vera_Pavlovna [14]
4 years ago
6

If a figure has eight vertices and 12 edges, how many faces does it have?

Mathematics
2 answers:
Rus_ich [418]4 years ago
8 0

Answer:

6 faces does it have

Step-by-step explanation:

In any convex polyhedron:

let v be the number  vertices , e is the number of edges and f is the number of faces then;

v+f-2 = e              ....[1]

As per the statement:

If a figure has eight vertices and 12 edges

⇒v = 8 and e = 12

Substitute in [1] to solve for f, we have;

8+f-2 = 12

⇒6+f = 12

Subtract 6 from both sides we have;

f = 6

Therefore, 6 faces does it have

vagabundo [1.1K]4 years ago
3 0
6 faces its a polyhedron
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