Advertisements
Advertisements
प्रश्न
Using Euler’s formula, find the value of unknown r in the following table.
| Faces | 8 |
| Vertices | 11 |
| Edges | r |
Advertisements
उत्तर
By using Euler’s formula for polyhedron
From, F = 8, V = 11 and E = r
So, F + V – E = 2
⇒ 8 + 11 – r = 2
⇒ 19 – r = 2
⇒ r = 19 – 2
⇒ r = 17
APPEARS IN
संबंधित प्रश्न
Verify Euler’s formula for the following three-dimensional figures:
Euler’s formula is true for all three-dimensional shapes.
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.
Using Euler’s formula, find the value of unknown x in the following table.
| Faces | 7 |
| Vertices | 10 |
| Edges | x |
Using Euler’s formula, find the value of unknown y in the following table.
| Faces | y |
| Vertices | 12 |
| Edges | 18 |
Using Euler’s formula, find the value of unknown p in the following table.
| Faces | p |
| Vertices | 6 |
| Edges | 12 |
Can a polyhedron have V = F = 9 and E = 16? If yes, draw its figure.
A polyhedron has 20 faces and 12 vertices. Find the edges of the polyhedron.
