A solid has 14 faces and 12 vertices. How many edges does the solid have?
We will use the concept of Euler's formula in order to find the number of edges.
Answer: If a solid has 14 faces and 12 vertices, then the number of edges is equal to 24.
Let us see how we will use the concept of Euler's formula in order to find the number of edges.
According to Euler's formula, for any solid, if F represents the face, V represents the vertices, and E represents edges then,
F + V = E + 2
Substituting the values of faces and vertices in the equation we get the number of edges.
14 + 12 = E + 2
E - 2 = 16
⇒ E = 24
You can also use Euler's formula calculator in such cases.
Hence, the solid with 14 faces and 12 vertices has 24 edges