Advertisements
Advertisements
Question
Verify Euler’s formula for given solids

Advertisements
Solution
Number of faces = F = 7
Number of vertices = V = 10
Number of edges = E = 15
We have, F + V − E = 7 + 10 − 15 = 17 − 15 = 2
Hence, Euler’s formula is verified.
RELATED QUESTIONS
Is it possible to have a polyhedron with any given number of faces? (Hint: Think of a pyramid).
Is a square prism same as a cube? Explain.
Name the polyhedron that can be made by folding net:

Name the polyhedron that can be made by folding net:

State, the number of faces, number of vertices and number of edges of:
(i) a pentagonal pyramid
(ii) a hexagonal prism
The following figure, given below, shows shadows of some 3D object when seen under the lamp of an overhead projector:

Using Euler’s formula, find the unknowns.
| Faces | Vertices | Edges |
| 8 | ? | 10 |
How many vertices does the following solid have?
Cylinder
Which 3D solid has no vertices and no edges?
The corner points where edges of a solid meet are called:
