Answer:
We can use the formula for the volume of a rectangular prism:
V = lwh
where l is the length, w is the width, and h is the height.
We are given that the volume of the prism is 637 cubic feet, the width is 12.5 feet, and the height is 6 feet. We can plug these values into the formula and solve for the length:
637 = l(12.5)(6)
637 = 75l
l = 8.49
Therefore, the length of the prism is approximately 8.49 feet.