Euler’s Formula for Polyhedra Calculator
🧊 Volume & surface area (3D). Use the Euler’s formula for polyhedra formula to find faces, vertices, edges: pick the value you want, type the others, and the answer updates as you go.
Faces6
Pick the ○ next to the value you want to find, fill in the others, and it solves as you type.
What each letter means
| Quantity | Unit |
|---|---|
| Faces | no unit |
| Vertices | no unit |
| Edges | no unit |
Worked example
Find the faces when Vertices = 8, Edges = 12.
Using F + V - E = 2: Faces = 6.
Frequently asked questions
What is the formula for Euler’s formula for polyhedra?
F + V - E = 2.
What do the letters stand for, and what units are used?
Faces, Vertices, Edges.
How do you calculate faces?
Put the values into F + V - E = 2. For example, with Vertices = 8, Edges = 12, faces = 6.
Can I solve for a different value?
Yes. In the calculator above, pick the circle next to any value (faces, vertices, edges) and fill in the others: it rearranges the formula for you.
