Use Eulerʹs formula to answer the question.
A polyhedron has 36 edges and 21 faces. How many vertices does it have?
ummmm
you cant post yr whole homework assignment on here....
I believe Euler's Formula dealing with polyhedra says
V - E + F = 2
Don't you know 2 of those variables ?
thank you for helping me Reiny that's what i was trying to find was the formula and i couldn't remember it. I was not trying to post my whole assignment on here they are example questions from the text that im trying to figure out.
To determine the number of vertices a polyhedron has using Euler's formula, we can use the equation V + F = E + 2.
Where:
- V represents the number of vertices
- F represents the number of faces
- E represents the number of edges
Given that the polyhedron has 36 edges and 21 faces, we can substitute these values into the equation and solve for V.
V + 21 = 36 + 2
V + 21 = 38
To isolate V, we can subtract 21 from both sides:
V = 38 - 21
V = 17
Therefore, the polyhedron has 17 vertices.