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

Advertisements
उत्तर
In the given polyhedron:
Edges E=16
Faces F=9
Vertices V=9

Now, putting these values in Euler's formula:
RHS: F+V
= 9+9
= 18
LHS: E + 2
= 16 + 2
= 18
LHS = RHS
Hence, Euler's formula is satisfied.
APPEARS IN
संबंधित प्रश्न
The given Figure are prisms or not?

Here is an incomplete net for making a cube. Complete it in at least two different ways. Remember that a cube has six faces. How many are there in the net here? (Give two separate diagrams. If you like, you may use a squared sheet for easy manipulation.)

Using Euler's formula find the unknown:
| Faces | ? | 5 | 20 |
| Vertices | 6 | ? | 12 |
| Edges | 12 | 9 | ? |
Name the polyhedron that can be made by folding net:

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

Verify Euler’s formula for the table given below.
| Faces | Verticles | Edges |
| 10 | 6 | 12 |
The common portion of two adjacent faces of a cuboid is called ______.
How many faces does a cylinder have?
