Advertisements
Advertisements
प्रश्न
Verify Euler's formula for the following polyhedron:
Advertisements
उत्तर
In the given polyhedron:
Edges E=15
Faces F=7
Vertices V=10
Now, putting these values in Euler's formula:
LHS: F+V
= 7+10
= 17
LHS: E + 2
= 15 + 2
= 17
LHS = RHS
Hence, the Euler's formula is satisfied.
APPEARS IN
संबंधित प्रश्न
Can a polyhedron have for its faces a square and four triangles?
The given Figure are prisms or not?
Is a square prism same as a cube? Explain.
Verify Euler’s formula for given solids.
Name the polyhedron that can be made by folding net:
If a polyhedron has 10 vertices and 7 faces, find the number of edges in it.
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 | Verticles | Edges |
| 12 | 20 | 30 |
Using Euler’s formula, find the unknowns.
| Faces | Vertices | Edges |
| 8 | ? | 10 |
How many faces does the following solid have?
Tetrahedron
