The net of a square pyramid is shown with measurement in meters.
What is the total surface area of the pyramid in square meters?
84 m²
60 m²
48 m²
36 m²
Let's calculate the surface area of the square pyramid.
The total surface area of a square pyramid formula is:
Total Surface Area = Base Area + (1/2) * Perimeter of Base * Slant Height
Given that the base of the pyramid is a square, the base area is:
Base Area = side^2 = 6^2 = 36 m²
The slant height is the same for all the sides of a pyramid, and in this case, it's given to be 5 meters.
Now, calculate the perimeter of the base:
Perimeter of Base = 4 * side = 4 * 6 = 24 m
Plug the values in the formula:
Total Surface Area = 36 + (1/2) * 24 * 5 = 36 + 60 = 96 m²
Therefore, the total surface area of the pyramid is 96 m².
None of the given options match the calculated value of 96 m², so it seems there might be a mistake in the problem statement or answer choices provided.