A rectangular prism has a length of 12 in., a width of 5 in., and a height of 4 1/4 in. The prism is filled with cubes that have edge lengths of 1/4 in. How many cubes are needed to fill the rectangular prism?
Number needed = volume of large cube / volume of small cube Number needed = 16320. This answer does not answer whether or not you get a possible prism.