Question

if a polyhedron has 10 faces and 16 edges then the number of vertices it has​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

8 vertices.

Explanation:

Euler's formula:

Faces + vertices = edges + 2

10 + vertices = 16 + 2

10 + vertices = 18

vertices = 18 - 10

vertices = 8

Number of vertices = 8

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Euler's Formula says that for a polyhedron, sum of the number of faces and vertices is 2 more than the number of edges. i.e.

Faces + vertices = edges + 2

Note that this works only for a polyhedron.

Polyhedron:

It is a 3-D figure, having faces as polygons. Edges as straight lines and vertices as sharp corners.