A factory packages cans of palm heart in cardboard boxes of cubic shape with a side of $20 \mathrm{~cm}$. In each box, 8 cans are placed, and the boxes are placed, without leaving any empty spaces, in wooden crates measuring $80 \mathrm{~cm}$ in width by $120 \mathrm{~cm}$ in length and $60 \mathrm{~cm}$ in height. What is the maximum number of cans of palm heart in each crate?
(a) 576
(b) 4608
(c) 2304
(d) 720
(e) 144
The correct option is (a).

In each wooden crate of dimensions $a \times b \times c$, $(a \times b \times c) / l^{3}$ cubes with side $l$ can fit when stacked regularly. In the case of the palm hearts, we have, in centimeters, $a=60, b=80, c=120$ and $l=20$. Since 60, 80, and 120 are multiples of 20, we can fill the crate without leaving any spaces, with $(60 \times 80 \times 120) / 20^{3}=72$ cardboard boxes of cubic shape with a side of $20 \mathrm{~cm}$. Therefore, in each crate, $72 \times 8=576$ cans of palm hearts can fit.