Answer:
Lateral surface area = 4 (1/2 × 705 × 588.30) = 829503 ft²
Step-by-step explanation:
The pyramid is a square base pyramid. The height = 471 ft. The sides of the square base pyramid = 705 ft.
To calculate the lateral area of the square base pyramid we have to know the slant height. The slant height can be known by using Pythagoras theorem to solve for it.
c² = a² + b²(Pythagoras theorem)
base = b = 705/2 = 352.50 ft
c² = 352.50² + 471²
c² = 124256.25 + 221841
c² = 346097.25
square root both sides
c = √346097.25
c = 588.300305966
c ≈ 588.30 ft
slant height = 588.30 ft
Lateral surface area = sum of area of the 4 triangular faces
lateral surface area = 4 (1/2 × base × height)
Lateral surface area = 4 (1/2 ×705 × 588.30) = 829503 ft²
