asked 78.6k views
3 votes
A prism has 66 edges and 24 faces. Use Euler's Formula to determine the number of vertices.

asked
User Mgulan
by
8.1k points

1 Answer

3 votes

We will have the following:

We recall that Euler's formula is:


F+V=E+2

Here "F" is faces, "V" is vertices and "E" is edges, then:


24+V=66+2\Rightarrow V=44

So, the object has 44 vertices.

answered
User Cameron Booth
by
8.0k points
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