Advertisements
Advertisements
प्रश्न
Using Euler’s formula, find the unknown.
| Faces | ? | 5 | 20 |
| Vertices | 6 | ? | 12 |
| Edges | 12 | 9 | ? |
Advertisements
उत्तर
By Euler’s formula, we have
F + V − E = 2
(i) F + 6 − 12 = 2
F − 6 = 2
F = 8
(ii) 5 + V − 9 = 2
V − 4 = 2
V = 6
(iii) 20 + 12 − E = 2
32 − E = 2
E = 30
Thus, the table can be completed as
| Faces | 8 | 5 | 20 |
| Vertices | 6 | 6 | 12 |
| Edges | 12 | 9 | 30 |
संबंधित प्रश्न
Is it possible to have a polyhedron with any given number of faces? (Hint: Think of a pyramid).
How are prisms and cylinders alike?
Draw net for the following polyhedron :
Draw net for the following polyhedron :
State, the number of faces, number of vertices and number of edges of:
(i) a pentagonal pyramid
(ii) a hexagonal prism
Using Euler’s formula, find the unknowns.
| Faces | Vertices | Edges |
| ? | 6 | 14 |
How many faces does the following solid have?
Octagonal Pyramid
How many vertices does the following solid have?
Tetrahedron
All faces of a pyramid are always ______.
What defines the edges of a solid shape?
