Advertisements
Advertisements
Question
Verify Euler’s formula for the table given below.
| Faces | Verticles | Edges |
| 12 | 20 | 30 |
Solution
Euler’s formula is given by F + V – E = 2
F = 12, V = 20, E = 30
F + V – E = 12 + 20 – 30 = 32 – 30 = 2
∴ Euler’s formula is satisfied.
APPEARS IN
RELATED QUESTIONS
Using Euler’s formula, find the unknown.
| Faces | ? | 5 | 20 |
| Vertices | 6 | ? | 12 |
| Edges | 12 | 9 | ? |
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.)
Verify Euler's formula for the following polyhedron:
Verify Euler's formula for the following polyhedron:
Name the polyhedron that can be made by folding net:
The dimensions of a cuboid are 6 cm, 4 cm and 3 cm. Draw two different types of oblique sketches for this cuboid.
Which of the following shapes has a vertex?
How many faces does the following solid have?
Octagonal Pyramid
How many faces does the following solid have?
Octahedron
A cylinder has no vertex.
