What is the volume of a box that will hold exactly 567 of these cubes with 1/3 inch sides?

If the length, width, and height of the little cubies are 1/3 inch,

then the volume of each cubie is

(1/3 inch) x (1/3 inch) x (1/3 inch) = 1/27 inch³.

If the box holds exactly 567 of them, then the volume

of the box is

(567) x (1/27 inch³)

= (567 x 1 / 27) inch³

= (567 / 27) inch³ = 21 inch³.