Chapter 12.4, Problem 26HP

To determine

To write: A formula to find the number of edges for a pyramid with the $n$ -sided base.

Answer to Problem 26HP

The required formula is $\text{Number}\text{of}\text{edges}=2n$ .

Explanation of Solution

Given information:

A triangular pyramid has 6 edges and a square pyramid has 8 edges.

Calculation:

Let the number of edges is $e$ for a pyramid with the $n$ -sided base. Since, an edge connects vertex to apex of the pyramid. So, the total number of edges will be the sum of number of base edges and the number of rising edges.

  $\text{Number}\text{of}\text{edges}=2n$

Conclusion:

Therefore, the required formula is $\text{Number}\text{of}\text{edges}=2n$ .