Step 1 :Find the side length of the square base: \(\frac{62.4}{4} = 15.6\)
Step 2 :Calculate the base area: \(15.6^2 = 243.36\)
Step 3 :Find the volume of the pyramid: \(\frac{1}{3} \times 243.36 \times 6.4 = 519.168\)
Step 4 :\(\boxed{519}\) cubic meters