Advertisements
Advertisements
Question
Verify Euler's formula for the following polyhedron:

Advertisements
Solution
In the following polyhedron:
Edges E=16
Faces F=9
Vertices V=9

Now, putting these values in Euler's formula:
LHS: F+V
= 9 + 9
= 18
RHS: E + 2
=16+2
=18
LHS = RHS
Hence, Euler's formula is satisfied.
APPEARS IN
RELATED QUESTIONS
Can a polyhedron have for its faces a square and four triangles?
Verify Euler’s formula for given solids

Is it possible to have a polyhedron with any given number of faces?
Using Euler's formula find the unknown:
| Faces | ? | 5 | 20 |
| Vertices | 6 | ? | 12 |
| Edges | 12 | 9 | ? |
Which among the following are nets for a cube?

Name the polyhedron that can be made by folding net:

Dice are cubes where the numbers on the opposite faces must total 7. Which of the following are dice?

Verify Euler’s formula for the table given below.
| Faces | Verticles | Edges |
| 10 | 6 | 12 |
Verify Euler’s formula for the table given below.
| Faces | Vertices | Edges |
| 20 | 13 | 30 |
How many faces does the following solid have?
Hexahedron
