Advertisements
Advertisements
प्रश्न
Using Euler’s formula, find the value of unknown q in the following table.
| Faces | 6 |
| Vertices | q |
| Edges | 12 |
Advertisements
उत्तर
By using Euler’s formula for polyhedron
From, F = 6, E = 12 and V = q
So, F + V – E = 2
⇒ 6 + q – 12 = 2
⇒ q – 6 = 2
⇒ q = 2 + 6
⇒ q = 8
APPEARS IN
संबंधित प्रश्न
Using Euler’s formula, find V if E = 30, F = 12.
Verify Euler’s formula for the following three-dimensional figures:

Using Euler's formula, find the values of x, y, z.
| Faces | Vertices | Edges | |
| (i) | x | 15 | 20 |
| (ii) | 6 | y | 8 |
| (iii) | 14 | 26 | z |
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 y in the following table.
| Faces | y |
| Vertices | 12 |
| Edges | 18 |
A polyhedron has 60 edges and 40 vertices. Find the number of its faces.
