What is the surface area of a square pyramid where the base edge is 8ft. and the slant height is 16ft
128 ft squared
256 ft squared
512 ft squared
320 ft squared
The surface area of a square pyramid can be calculated using the formula:
Surface Area = Base Area + (0.5 × Perimeter of Base × Slant Height)
In this case, the base edge of the square pyramid is 8ft. and the slant height is 16ft.
The Base Area = (Base Edge)^2 = 8^2 = 64 ft^2
The Perimeter of Base = 4 × Base Edge = 4 × 8 = 32 ft
Surface Area = 64 ft^2 + (0.5 × 32 ft × 16 ft)
Surface Area = 64 ft^2 + (0.5 × 512 ft)
Surface Area = 64 ft^2 + 256 ft
Surface Area = 320 ft^2
Therefore, the surface area of the square pyramid is 320 ft^2 (option D).