370.--A PACKING PUZZLE.

On the side of the box, 14 by 22+4/5, we can arrange 13 rows containing

alternately 7 and 6 balls, or 85 in all. Above this we can place another

layer consisting of 12 rows of 7 and 6 alternately, or a total of 78. In

the length of 24+9/10 inches 15 such layers may be packed, the alternate

layers containing 85 and 78 balls. Thus 8 times 85 added to 7 times 78

gives us 1,226 for the full contents of the box.

Amusements in Mathematics · 第 899 / 970 题