How many cubes with 1/3 inch sides can we fit inside the box

Divide each dimension by the side length of the cube

3 and 2/3 = > 11/3

1 and 2/3 = > 5/3

2 and 1/3 = > 7/3

(11/3) / (1/3) = 11

(5/3) / (1/3) = 5

(7/3) / (1/3) = 7

Now, multiply each of those values together

11 * 5 * 7 = >

55 * 7 = >

385

385 cubes with 1/3 inch sides can fit