What is the surface area of a square pyramid where the base edge is 8 It. and the slant height is 10 ft.?

Question

250ft .^ 2

128f * L ^ 2

512Omega ^ 2

320n ^ 2

Answer 1

To find the surface area of a square pyramid, you can use the formula:

Surface Area = base area + (0.5 * perimeter of base * slant height)

First, calculate the base area:
The base of the pyramid is a square with edge length 8 ft. The formula for the area of a square is side length^2.
Base Area = 8 ft * 8 ft = 64 ft^2

Next, calculate the perimeter of the base:
The perimeter of a square is given by 4 times the length of one side.
Perimeter of Base = 4 * 8 ft = 32 ft

Now, we can substitute the values into the formula for surface area:
Surface Area = 64 ft^2 + (0.5 * 32 ft * 10 ft)

Simplifying further:
Surface Area = 64 ft^2 + (0.5 * 320 ft^2)
Surface Area = 64 ft^2 + 160 ft^2
Surface Area = 224 ft^2

Therefore, the correct answer is 224 ft^2.