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
Verify Euler's formula for the following polyhedron:
Name the polyhedron that can be made by folding net:
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.
Dice are cubes where the sum of the numbers on the opposite faces is 7. Find the missing numbers a, b and c.
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 |
| 32 | 60 | 90 |
Using Euler’s formula, find the unknowns.
| Faces | Vertices | Edges |
| ? | 6 | 14 |
A solid that has only one vertex is ______.
How many faces does a cylinder have?
