An antique is preserved in a cube-shaped box having an external edge length of cm. In order to completely protect it from any damage, the box is put in another bigger box having an internal edge length of cm. The empty space between the two boxes is completely filled with sponge, find its volume.
Step 1: Find the volume of the smaller box. Use the formula for the volume of a cube.
Step 2: Find the volume of the larger box. Use the same formula.
Step 3: Find the volume of the sponge between the two boxes.
Subtract the volume of the smaller box from the volume of the larger box.