What is the surface area of a square pyramid where the base edge is 8 ft in the slate height is 16 ft

Answer 1

To calculate the surface area of a square pyramid, you need to find the area of the base and the area of each of the four triangular faces.

The area of the base can be found by multiplying the length of one side by itself:
Base area = (8 ft)^2 = 64 ft^2

The area of each triangular face can be calculated by multiplying the base of the triangle (which is one of the sides of the square base) by the height of the pyramid and dividing it by 2:
Triangular face area = (8 ft * 16 ft) / 2 = 64 ft^2

Since there are four triangular faces, the total area of the triangular faces is:
Total triangular face area = 4 * 64 ft^2 = 256 ft^2

Finally, to find the total surface area, you add the area of the base to the total area of the triangular faces:
Surface area = Base area + Total triangular face area
Surface area = 64 ft^2 + 256 ft^2 = 320 ft^2

Therefore, the surface area of the square pyramid is 320 square feet.