Problem: A Packing Puzzle

As we all know by experience, considerable ingenuity is often required in packing articles into a box if space is not to be unduly wasted. A man once told me that he had a large number of iron balls, all exactly two inches in diameter, and he wished to pack as many of these as possible into a rectangular box $24\frac 9{10}$ inches long, $22 \frac 45$ inches wide, and $14$ inches deep. Now, what is the greatest number of the balls that he could pack into that box?

Solutions: 1

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Project Gutenberg

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

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