9.--_The Carpenter's Puzzle._

The carpenter said that he made a box whose internal dimensions were

exactly the same as the original block of wood--that is, 3 feet by 1 foot

by 1 foot. He then placed the carved pillar in this box and filled up all

the vacant space with a fine, dry sand, which he carefully shook down

until he could get no more into the box. Then he removed the pillar,

taking great care not to lose any of the sand, which, on being shaken

down alone in the box, filled a space equal to one cubic foot. This was,

therefore, the quantity of wood that had been cut away.

The Canterbury Puzzles, and Other Curious Problems · 第 160 / 286 题