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Use Euler's formula to find the missing number.
Vertices: 23
Edges: 39
Faces: ?

A. 12
B. 14
C. 16
D. 18

Sagot :

Answer: D. 18

Step-by-step explanation:

Euler's formula is Faces + Vertices = Edges + 2

Faces = Edges - vertices + 2

Faces = 39-23 + 2 = 18

Euler's formula is given by the formula F + V = E + 2. The number of faces in the given object is 18.

What is Euler's Formula?

Euler's formula is given by the formula F + V = E + 2, in which F is the number of faces, V is the number of vertices, and E is the number of edges. For instance, a cube fits this formula since it has 6 faces, 8 vertices, and 12 edges.

The number of vertices and edges in the object is 23 and 39, respectively. Therefore, using Euler's formula the number of faces can be written as,

F + V = E + 2

F + 23 = 39 + 2

F = 39 + 2 - 23

F = 18

Hence, the number of faces in the given object is 18.

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