If a Platonic Solid has 8 vertices and 12 edges and calculate the number of faces

Recall Euler's formula: V+F-E=2

plug in your numbers and solve for F

If a platinoc solid has 8 vertices and 12 edges and calculate the number of faces

grade 8 assignment term 4 platonic solid

no response

8 faces

To calculate the number of faces of a Platonic solid, we can use Euler's formula:

F + V - E = 2

Where:
F = number of faces
V = number of vertices
E = number of edges

In this case, we are given that the Platonic solid has 8 vertices and 12 edges.

Substituting these values into the formula, we have:

F + 8 - 12 = 2

Simplifying the equation, we get:

F - 4 = 2

Now, we can solve for F:

F = 2 + 4

F = 6

Therefore, the Platonic solid with 8 vertices and 12 edges will have 6 faces.