Use the Euler formula to find the missing number of faces if vertices:15, Edges: 24.
We will use Euler's formula to find the missing number of faces.
Answer: For 15 vertices and 24 edges, the number of faces is equal to 11.
Let's see how Euler's formula is used to find the missing number of faces.
Explanation:
Euler formula states that if in any regular solid, number of faces are represented by F, vertices are represented by V, and E represents edges then, the relation between F, V, and E is given by,
F + V = E + 2 ------------- (1)
We have, V = 15 and E = 24 (given)
Now, substituting the values in above equation (1) we get,
F + 15 = 24 + 2
⇒ F = 26 - 15
⇒ F = 11
Therefore, the number of faces is equal to 11.
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