I don’t get this question.

Question

How many 1/3 inch cubes does it take to fill a box with width 2 2/3 inches, length 3 1/3 inches, and height 2 1/3 inches

Answer 1

2 2/3 = 8/3

3 1/3 = 10/3

2 1/3 = 7/3

8/3 x 10/3 x 7/3 =560/9 cubic inches = about 62 cubic inches

divide 560/9 by 1/3 if "1/3 inch cube" refers to the cube's volume.

560/9/3 = 560/3 = 186 2/3 cubes of 1/3 inches each

But the question may be ambiguous. by "1/3 inch cube" do you mean the side of the cube is 1/3 inch? then it's volume is 1/3 x 1/3 x 1/3 = 1/27 cubic inches.

Then divide 560/9 by 1/27 = 1680 cubes needed to fill the box. That's probably the correct answer, given that the problem says "1/3 inch cube" and not 1/3 cubic inches.