Advertisements
Advertisements
प्रश्न
Which of the following cannot be true for a polyhedron?
विकल्प
V = 4, F = 4, E = 6
V = 6, F = 8, E = 12
V = 20, F = 12, E = 30
V = 4, F = 6, E = 6
उत्तर
V = 4, F = 6, E = 6
Explanation:
Euler's Formula for any polyhedron = F + V – E = 2
Where, F = Faces and V = Vertices and E = Edges
Given, F = 6, V = 4 and E = 6
L.H.S. = F + V – E
= 6 + 4 – 6
= 10 – 6 = 4 ≠ R.H.S.
APPEARS IN
संबंधित प्रश्न
Verify Euler’s formula for the following three-dimensional figures:
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.
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 |
Using Euler’s formula, find the value of unknown r in the following table.
| Faces | 8 |
| Vertices | 11 |
| Edges | r |
