Answer:
lateral area ≈ 668 m²
surface area ≈ 740 m²
Explanation:
The lateral area of a triangular prism = perimeter of the base × height of the prism
lateral area = ph
where
p = perimeter of the base
h = height or altitude
Base edges are 8m , 9m and 12.04m and height is 23 m.
lateral area = ph
lateral area = (8 + 9 + 12.04) × 23
lateral area = 29.04 × 23
lateral area = 667.92 m²
lateral area ≈ 668 m²
Surface area
surface area = lateral area + 2B
where
B = area of it triangular bases
surface area = lateral area + 2B
surface area = 667.92 + 2(1/2 × base × height)
surface area = 667.92 + 2(1/2 × 8 × 9)
surface area = 667.92 + 2(1/2 × 72)
surface area = 667.92 + 2(36)
surface area = 667.92 + 72
surface area = 739.92
surface area ≈ 740 m²