Question 91

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

Solution

Tetrahedron :

Euler's formula : $$V + F - E = 2$$ where V is number of vertices , F is number of faces and E is number of edges.

Tetrahedron has 4 vertices and 4 faces.

=> $$E = V + F - 2 = 4 + 4 - 2$$

=> $$E = 8 - 2 = 6$$

=> Ans - (C)

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