What is the total surface area of a pyramid?

The total surface area of a pyramid can be calculated by adding the area of the base to the sum of the areas of the lateral faces. The formula for the total surface area of a pyramid is:

Total Surface Area = Base Area + (0.5 * Perimeter of Base * Slant Height)

Alternatively, if the base of the pyramid is a regular polygon with side length "s" and apothem "a", the formula for the total surface area can be calculated as:

Total Surface Area = Base Area + (0.5 * Perimeter of Base * Slant Height)

Where the base area can be calculated using the formula for the area of a regular polygon:

Base Area = 0.5 * Perimeter of Base * Apothem

It is important to note that the slant height is the distance from the apex of the pyramid to the midpoint of any side of the base.

The total surface area of a pyramid is the sum of the areas of all its faces, including the base. The base of a pyramid can be any polygon, and the other faces are triangles. The formula for the total surface area of a pyramid is:

```
Total surface area = Area of base + 1/2 - Perimeter of base - Height
```

where:

- Area of base is the area of the base of the pyramid
- Perimeter of base is the length of the perimeter of the base
- Height is the height of the pyramid, measured from the base to the apex (peak)