Final answer:
The volume of wood used to make the box is calculated by subtracting the volume of the inner space from the external volume of the box, resulting in 9,520 cubic cm.
Step-by-step explanation:
To find the volume of wood used to make the box, we subtract the volume of the inside empty space from the volume of the outer dimensions of the box. First, we calculate the internal dimensions by subtracting twice the thickness since the thickness is present on all sides. The internal dimensions are 50 cm (52 cm - 2 cm), 40 cm (42 cm - 2 cm), and 28 cm (30 cm - 2 cm). So, the volume of the empty space inside the box is 50 cm x 40 cm x 28 cm = 56,000 cubic cm.
Next, we calculate the outer volume of the box using its external dimensions: 52 cm x 42 cm x 30 cm = 65,520 cubic cm. The volume of wood used in the box is the outer volume minus the inner empty space volume, which is 65,520 cubic cm - 56,000 cubic cm = 9,520 cubic cm.