Question

A pyramid with a square base has 5 faces and 8 edges. by euler's formula find the vertices of the pyramid

Answer 1

Answer:

5

Step-by-step explanation:

the formula is F+V=E+2. therefore,5+V=8+2. 5+V=10. V= 10-5. V=5

Answer 2

The number of vertices of the pyramid (V)​ = 5

Step-by-step explanation:

Given by question,

The number of faces (F) = 5 and

The number of edges (E) = 8

To find, the number of vertices of the pyramid (V)​ = ?

We know that, ​

Euler's formula,

V - E + F = 2

Where, V = The number of vertices,

E = The number of edges

F = The number of faces

∴ V - E + F = 2

Put F = 5, E = 8, we get

⇒ V - 8 + 5 = 2

⇒ V - 3 = 2

⇒ V = 2 + 3 = 5

∴ The number of vertices of the pyramid (V)​ = 5