Question

What is eulers formula? Using it find the number of faces of tetrahedron having vertices 4 and 6 edges.

Answer 1

Answer:

first answer is right

Step-by-step explanation:

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Answer 2

Answer:

Formula: $F + V = E + 2$

No. of faces in a tetrahedron is $4$.

Step-by-step explanation:

Step 1 of 2

Euler's formula: In geometry, it is the process of determining the relation among the faces and vertices of any polyhedron.

Symbolically, $F + V = E + 2$

where $F$ = the number of faces, $V$ = the number of vertices and

$E$ = the number of edges.

Polyhedron: Any $3-$dimensional shape which flat polygonal faces, straight edges and sharp vertices is termed as polyhedron.

Step 2 of 2

To find: No. of faces of tetrahedron.

Given a tetrahedron in which,

No. of vertices, $V$ = $4$

No. of edges, $E$ = $6$

Then, by Euler's formula,

$F=E-V+2$

⇒ $F=6-4+2$

⇒ $F=4$

Thus, no. of faces in a tetrahedron is $4$.

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