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

1 answer

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.
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