Answer: the volume of wood used to make the closed box is 11,600 cm^3.

Step-by-step explanation: To find the volume of wood used to make a closed box with outer dimensions 60cm x 45cm x 32cm and a thickness of 2.5 cm all around, we need to find the volume of the outer box and the volume of the inner box (the space inside the box that is not occupied by wood).

The volume of the outer box is simply its length x width x height, which is 60cm x 45cm x 32cm = 86,400 cm^3.

The volume of the inner box is the volume of the space inside the box that is not occupied by wood. Since the thickness of the wood is 2.5 cm all around, the dimensions of the inner box are 60cm - 2.5cm - 2.5cm = 55cm x 45cm - 2.5cm - 2.5cm = 40cm x 32cm - 2.5cm - 2.5cm = 27cm. The volume of the inner box is therefore 55cm x 40cm x 27cm = 74,800 cm^3.

To find the volume of wood used to make the box, we subtract the volume of the inner box from the volume of the outer box: 86,400 cm^3 - 74,800 cm^3 = 11,600 cm^3.