A octahedron has _____ faces and 6 vertices with 12 edges. (Use Euler's formula)

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Solution

The correct option is B 8
Euler's polyhedron formula, $V - E + F = 2$
$V$ = number of vertices = $6$
$E$ = number of edges = $12$
$F$ = number of faces = ?
$6 - 12 + F = 2$
$F = 6 + 2$
$F = 8$
Number of faces = $8$
A octahederon has $8$ faces and $6$ vertices with $12$ edges.

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A octahedron has _____ faces and 6 vertices with 12 edges. (Use Euler's formula)

The correct option is B 8Euler's polyhedron formula, V−E+F=2V = number of vertices = 6E = number of edges = 12F = number of faces = ?6−12+F=2F=6+2F=8Number of faces = 8A octahederon has8 faces and 6 vertices with 12 edges.

The correct option is B 8
Euler's polyhedron formula, $V - E + F = 2$
$V$ = number of vertices = $6$
$E$ = number of edges = $12$
$F$ = number of faces = ?
$6 - 12 + F = 2$
$F = 6 + 2$
$F = 8$
Number of faces = $8$
A octahederon has $8$ faces and $6$ vertices with $12$ edges.