Question

Which of these shows the Euler's relation for a prism whose base has 5 sides?
Option 1: 6 + 6 = 10 + 2
Option 2: 6 + 8 = 10 + 4
Option 3: 10 + 7 = 15+ 2
Option 4: 10 + 9 = 15 + 4​

Answer 1

Answer:

Opt. 1

Step-by-step explanation:

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Answer 2

Answer: option 1: 6 + 6 = 10 + 2

Step-by-step explanation:

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.

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.

By the above Euler's formula option 1 s the correct answer.

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