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
Advertisements
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
If a solid shape has 12 faces and 20 vertices, then the number of edges in this solid is ______.
Euler’s formula is true for all three-dimensional shapes.
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 |
Using Euler’s formula, find the value of unknown q in the following table.
| Faces | 6 |
| Vertices | q |
| Edges | 12 |
Using Euler’s formula, find the value of unknown r in the following table.
| Faces | 8 |
| Vertices | 11 |
| Edges | r |
A polyhedron has 20 faces and 12 vertices. Find the edges of the polyhedron.
