CBSE Class 8 Answered
What is Euler's formula? Verify the Euler's formula for a pentagonal prism.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
Expert Answer
Euler's Formula:
For a polyhedron having F number of faces, E number of edges and V number of vertices, we have F + V = E + 2.
The pentagonal prism looks like:
Here, Number of faces (F) = 7
Number of edges (E) = 15
And number of vertices (V) =10
Now, F + V = 7 + 10 = 17
And, E + 2 = 15 + 2 = 17
Thus, F + V = E + 2
Hence, Euler's formula is verified.
Answered by | 04 Jun, 2014, 03:23: PM
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