Advertisements
Advertisements
प्रश्न
Using Euler’s formula, find the value of unknown p in the following table.
| Faces | p |
| Vertices | 6 |
| Edges | 12 |
Advertisements
उत्तर
By using Euler’s formula for polyhedron
From, V = 6, E = 12 and F = p
So, F + V – E = 2
⇒ p + 6 – 12 = 2
⇒ p – 6 = 2
⇒ p = 2 + 6
⇒ p = 8
APPEARS IN
संबंधित प्रश्न
If a solid shape has 12 faces and 20 vertices, then the number of edges in this solid is ______.
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 z in the following table.
| Faces | 9 |
| Vertices | z |
| Edges | 16 |
Can a polyhedron have V = F = 9 and E = 16? If yes, draw its figure.
Check whether a polyhedron can have V = 12, E = 6 and F = 8.
