(related to Problem: Gold Packing In Russia)

The box should be $100$ inches by $100$ inches by $11$ inches deep, internal dimensions. We can lay flat at the bottom a row of eight slabs, lengthways, end to end, which will just fill one side, and nine of these rows will dispose of seventy-two slabs (all on the bottom), with a space left over on the bottom measuring $100$ inches by $1$ inch by $1$ inch. Now make eleven depths of such seventy-two slabs, and we have packed $792,$ and have a space of $100$ inches by $1$ inch by $11$ inches deep. In this, we may exactly pack the remaining eight slabs on edge, end to end.

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Project Gutenberg

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

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