(related to Problem: A Packing Puzzle)

On the side of the box, $14$ by $22 \frac 45,$ 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 $24\frac{9}{10}$ 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.

Thank you to the contributors under CC BY-SA 4.0!



Project Gutenberg

  1. Dudeney, H. E.: "Amusements in Mathematics", The Authors' Club, 1917

This eBook is for the use of anyone anywhere in the United States and most other parts of the world at no cost and with almost no restrictions whatsoever. You may copy it, give it away or re-use it under the terms of the Project Gutenberg License included with this edition or online at If you are not located in the United States, you'll have to check the laws of the country where you are located before using this ebook.