Advertisements
Advertisements
प्रश्न
Verify Euler's formula for the following polyhedron:
Advertisements
उत्तर
In the following polyhedron:
Edges E=21
Faces F=9
Vertices V=14
Now, putting these values in Euler's formula:
LHS: F+V
= 9+14
= 23
RHS: E+2
=21+2
=23
Thisis true.
Hence, Euler's formula is satisfied.
संबंधित प्रश्न
Can a polyhedron have for its faces 3 triangles?
Using Euler's formula find the unknown:
| Faces | ? | 5 | 20 |
| Vertices | 6 | ? | 12 |
| Edges | 12 | 9 | ? |
Dice are cubes where the numbers on the opposite faces must total 7. Which of the following are dice?
Using Euler’s formula, find the values of a, b, c and d.
| Faces | a | 5 | 20 | 6 |
| Vertices | 6 | b | 12 | d |
| Edges | 12 | 9 | c | 12 |
Verify Euler’s formula for the table given below.
| Faces | Vertices | Edges |
| 20 | 13 | 30 |
Using Euler’s formula, find the unknowns.
| Faces | Vertices | Edges |
| ? | 6 | 14 |
In the figure, 
the number of faces meeting at B is ______.
How many faces does the following solid have?
Hexahedron
Total number of edges a cylinder has ______.
The corner points where edges of a solid meet are called:
