Question

Verify Euler's formula for the figure.O 10 + 6 = 14 + 2O 4+4=6+2O 6 +6 = 10 +205+1=4+2

Answer 1

Step-by-step explanation:

We are asked to verify Euler's formula for the given figure

According to Euler's formula for any convex polyhedron, the number of Faces (F) and vertices (V) added together is exactly two more than the number of edges (E).

So, we can summarize the formula as:

`\begin{gathered} F+V=E+2 \\ Where \\ F=faces \\ V=vertices \\ E=edges \end{gathered}`

The figure given is a pentagonal pyramid

So, we can substitute the above values into the formula to verify Euler's Formula

`\begin{gathered} F=6 \\ V=6 \\ E=10 \\ F+V=E+2 \\ 6+6=10+2 \end{gathered}`

Therefore, the answer is 6 + 6 = 10 + 2