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.
RELATED QUESTIONS
The given Figure are prisms or not?
What is the least number of planes that can enclose a solid? What is the name of the solid?
If a polyhedron has 10 faces and 8 vertices, find the number of edges in it.
Dice are cubes with dots or dots on the face. Opposite faces of a die always have a total of seven on them.
In the given below net to make dice (cube), the numbers inserted in the square indicate the number of dots in it.
Insert suitable numbers in the blank so that numbers in opposite faces of the die have a total of seven dots.
The following figure represent the nets of some solid. Name the solid
Identify if the following net can be used to form a cube:
Verify Euler’s formula for the table given below.
| Faces | Verticles | Edges |
| 10 | 6 | 12 |
How many faces does the following solid have?
Hexahedron
How many faces does a cylinder have?
Which 3D solid has no vertices and no edges?
