Question

The perimeter of the base of the pyramid is
78
78 feet.
the height of the pyramid is 60

Answer 1

feet.

To find the surface area of the pyramid, we need to calculate the area of the base and the area of the four triangular faces.

The area of the base can be calculated as 78 x 78 = 6084 square feet.

To find the area of each triangular face, we can use the formula for the area of a triangle:
Area = 1/2 x base x height.

Since the base of the triangle is the same as the perimeter of the base of the pyramid, we can use 78 as the base of the triangle.

The height of each triangular face can be calculated using the Pythagorean theorem:
height = sqrt(60^2 + (78/2)^2) = sqrt(3600 + 1521) = sqrt(5121) = 71.5

Now we can calculate the area of each triangular face:
Area = 1/2 x 78 x 71.5 = 2781 square feet

Since there are four triangular faces, the total surface area of the pyramid is:
6084 + (4 x 2781) = 6084 + 11124 = 17208 square feet.

Therefore, the surface area of the pyramid is 17208 square feet.