Final answer:
The side length of the cube shaped box is A) 4 inches.
Step-by-step explanation:
To find the side length of the cube shaped box, we need to subtract the volume of the tin of packing from the total volume of the box. Let's assume the side length of the cube is x inches. The volume of the cube is x^3 cubic inches. If there are 56 cubic inches of space left in the box, we can set up the equation x^3 - 56 = 0. Solving this equation will give us the side length of the cube.
By trial and error, we can see that x = 4 is a solution to the equation, which means the side length of the cube is 4 inches. Therefore, the answer is option A) 4 inches.