To find the volume of the box, we need to multiply the width, length, and height:
2 2/3 inches = 8/3 inches
3 1/3 inches = 10/3 inches
2 1/3 inches = 7/3 inches
Volume = 8/3 * 10/3 * 7/3
Volume = 560/27 cubic inches
Now, the volume of each cube is 1/3 * 1/3 * 1/3 = 1/27 cubic inches
To find out how many 1/3 inch cubes can fill the box, we need to divide the volume of the box by the volume of each cube:
560/27 / 1/27 = 560
Therefore, it would take 560 1/3 inch cubes to fill the box.