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A tetrahedron has 4 faces and 6 edges. How many vertices does it have?

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answer is B.

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Detailed Solution

Given, a tetrahedron has 4 faces and 6 edges.
We can obtain the number of vertices using the formula

V - E + F = 2

.
Where,

V

= number of vertices = ?

E

= number of edges =

6

F

= number of faces =

4

Substitute the given values.

\Rightarrow

V - 6 + 4 = 2

\Rightarrow

V - 2 = 2

\Rightarrow

V = 4

So, there are 4 vertices.
Hence, option 2 is correct.

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