Advertisements
Advertisements
Question
Using Euler’s formula, find the value of unknown r in the following table.
| Faces | 8 |
| Vertices | 11 |
| Edges | r |
Advertisements
Solution
By using Euler’s formula for polyhedron
From, F = 8, V = 11 and E = r
So, F + V – E = 2
⇒ 8 + 11 – r = 2
⇒ 19 – r = 2
⇒ r = 19 – 2
⇒ r = 17
APPEARS IN
RELATED QUESTIONS
If a solid shape has 12 faces and 20 vertices, then the number of edges in this solid is ______.
Euler’s formula is true for all three-dimensional shapes.
Look at the shapes given below and state which of these are polyhedra using Euler’s formula.
Look at the shapes given below and state which of these are polyhedra using Euler’s formula.
Look at the shapes given below and state which of these are polyhedra using Euler’s formula.
Using Euler’s formula, find the value of unknown q in the following table.
| Faces | 6 |
| Vertices | q |
| Edges | 12 |
Can a polyhedron have V = F = 9 and E = 16? If yes, draw its figure.
Check whether a polyhedron can have V = 12, E = 6 and F = 8.
A polyhedron has 20 faces and 12 vertices. Find the edges of the polyhedron.
A solid has forty faces and sixty edges. Find the number of vertices of the solid.
