Final answer:
The volume of a cube with a side length of 1/4 inch is 1/64 cubic inches.
Step-by-step explanation:
The formula for the volume of a cube is V = s^3, where s is the length of one side. To find the volume of a cube with a side length of 1/4 inch, substitute s = 1/4 inch into the formula:
V = (1/4 inch)^3 = 1/4^3 inch^3 = 1/64 cubic inches.
Therefore, the volume of a cube with a side length of 1/4 inch is 1/64 cubic inches. The correct answer is option a) 1/64 cubic inches.