Question

Verify Euler's formula for t
his given solid.​

Answer 1

Question-

Verify Euler's formula for the given solid.​

Answer-

We know that Euler's formula is given as:

F + V = E + 2

Where

• F is the total number of Faces in the given solid.
• V is the total number of vertices.
• E is the total number of edges.

In the given figure, there are-

• 5 faces
• 5 vertices
• 8 edges

Substituting in the equation-

F + V = E + 2

⇒ F + V - E = 2

⇒ 5 + 5 - 8 = 2

⇒ 10 - 8 = 2

⇒ 2 = 2

Hence verified.