Question

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

Answer 1

Option A. 10 faces

Step-by-step 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.

Answer 2

If a solid has 8 vertices and 16 edges, the number of faces it will have is 10. It can be easily proved using Euler's Theorem. The correct option among all the options that are given in the question is the first option or option "A". I hope that this is the answer that has actually come to your great help.