Final answer:
The length of one side of the jewelry box is 7 inches.
Step-by-step explanation:
The volume of a cube is given by the formula V = s^3, where V is the volume and s is the length of one side of the cube. In this case, the volume is given as 343 in³. To find the length of one side, we can take the cube root of 343. The cube root of 343 is 7, so the length of one side of the jewelry box is 7 inches.