The volume of a cube is defined by the formula l^3, as stated in the problem. The length of the cube given to us is 3/5 of a foot, meaning that the value of l is 3/5. So if we plug this into the equation, we get that (3/5)^3 = (3)^3/(5)^3 = 27/125. The units will also match up to be in cubic feet, so the answer is that the volume will be 27/125 cubic feet.