If a solid has 8 vertices and 16 edges, how many faces does it have?

a. 10 faces
b. 12 faces
c. 16 faces
d. 20 faces

Option A. 10 faces

Explanation:

Euler's formula says, if a solid has F number of faces, V number of vertices, and the number of edges then

F + V - E = 2

Now we have to calculate the faces of a solid which has 8 vertices and 16 edges then

F + 8 - 16 = 2

F - 8 = 2

F = 8+2

F = 10

Therefore, option A. 10 faces will be the answer.

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