What is the surface area of a square pyramid where the base edge is 8 ft. and the slant height is 16 ft.?(1 point)

Question

Responses

512 ft.2512 ft. squared

128 ft.2
128 ft. squared

320 ft.2
320 ft. squared

256 ft.2

Answer 1

The surface area of a square pyramid is given by the formula:

Surface Area = base area + (1/2) * perimeter of base * slant height

In this case, the base of the pyramid is a square with an edge length of 8 ft. The base area is calculated as:

Base Area = (8 ft)^2 = 64 ft^2

The perimeter of the base is 4 times the length of one side, so:

Perimeter of Base = 4 * 8 ft = 32 ft

Now, we can substitute these values into the surface area formula:

Surface Area = 64 ft^2 + (1/2) * 32 ft * 16 ft

Simplifying:

Surface Area = 64 ft^2 + 16 ft^2

Surface Area = 80 ft^2

Therefore, the surface area of the square pyramid is 80 ft^2.

Answer 2

not a answer choice

Answer 3

Apologies for the confusion. The correct answer choice would be:

512 ft.2