A rectangular prism with a length of 4 ft, a width of 5 ft, and a height of 6 ft is similar to a prism with a height of 24 ft. Find the surface area of the larger prism:
a) Find the volume of the larger prism.
b) Find the area of the base of the smaller prism.
c) If the smaller prism has a volume that is one-fourth that of the larger prism, find the height of the smaller prism.