2. the height of one square pyramid is 24 m. a similar pyramid has a height of 8 m. the volume of the larger pyramid is 648 m3. the surface area of the smaller pyramid is 124 m^2. determine each of the following, showing all your work and reasoning: find the surface area of the larger pyramid

Volume of square pyramid = a²h / 3

Surface area of square pyramid = a² +2a √((a²/4) + h²)

a = base edge 
h = height

for the large pyramid;
    volume = 648 m³
    height  = 24 m

Volume = a²h / 3
648 m³ = a² x 24 m / 3
       a²  = 81 m²
        a  = 9 m

by applying surface area equation to the large pyramid,
   surface area = a² +2a √((a²/4) + h²)
                        = 9² + 2 x 9 √((9² / 4 ) + 24²
                        = 520.53 m²

hence surface area of large pyramid = 520.53 m²