Final answer:
The volume of the box is 18 cubic centimeters.
Step-by-step explanation:
To find the volume of the box, we need to multiply the volume of one layer by the number of layers. The volume of one layer is given as 3 cubic centimeters. Since there are 6 layers, the volume of the box is 3 cubic centimeters multiplied by 6, which equals 18 cubic centimeters.