Advertisements
Advertisements
Question
If a solid shape has 12 faces and 20 vertices, then the number of edges in this solid is ______.
Advertisements
Solution
If a solid shape has 12 faces and 20 vertices, then the number of edges in this solid is 30.
Explanation:
We know that, Euler’s formula for any polyhedron is F + V – E = 2
Given, faces, F = 12, vertices, V = 20
Now, on putting the value of F and V in the Euler’s formula, we get
12 + 20 – E = 2
⇒ 32 – E = 2
⇒ 32 – 2 = E
⇒ E = 30
Hence, the number of edges = 30
APPEARS IN
RELATED QUESTIONS
If the sum of number of vertices and faces in a polyhedron is 14, then the number of edges in that shape is ______.
A polyhedron can have 10 faces, 20 edges and 15 vertices.
Look at the shapes given below and state which of these are polyhedra using Euler’s formula.
Look at the shapes given below and state which of these are polyhedra using Euler’s formula.
Look at the shapes given below and state which of these are polyhedra using Euler’s formula.
Look at the shapes given below and state which of these are polyhedra using Euler’s formula.
Look at the shapes given below and state which of these are polyhedra using Euler’s formula.
Look at the shapes given below and state which of these are polyhedra using Euler’s formula.
Using Euler’s formula, find the value of unknown x in the following table.
| Faces | 7 |
| Vertices | 10 |
| Edges | x |
A polyhedron has 60 edges and 40 vertices. Find the number of its faces.
