Calculate the surface area of the following square pyramid:

A square pyramid with a base length of 55 m and a slant height of 54 m.

The surface area of the square pyramid is Blank 1 Question 6 m

1 answer

The surface area of a square pyramid can be calculated using the formula:
surface area = base area + (1/2) * perimeter * slant height

The base area of a square pyramid with a base length of 55 m is:
base area = 55^2 = 3025 m^2

The perimeter of the square base is:
perimeter = 4 * base length = 4 * 55 = 220 m

Now, we can substitute these values into the formula to find the surface area:
surface area = 3025 + (1/2) * 220 * 54
surface area = 3025 + 5940
surface area = 8965 m^2

Therefore, the surface area of the square pyramid is 8965 m^2.