Advertisements
Advertisements
Question
Verify Euler's formula for the following polyhedron:
Solution
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
RELATED QUESTIONS
Is it possible to have a polyhedron with any given number of faces? (Hint: Think of a pyramid).
The given Figure are prisms or not?
How are pyramids and cones alike?
Can a polyhedron have 10 faces, 20 edges and 15 vertices?
Is a square prism same as a cube?
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 |
| 8 | ? | 10 |
Total number of faces in a pyramid which has eight edges is ______.
How many vertices does the following solid have?
Sphere
Find the number of faces in the given shape:
