Sunday Times Teaser 2618 – Antics on the Block
by Andrew Skidmore
Published: 25 November 2012 (link)
A wooden cuboid-shaped block has a square base. All its sides are whole numbers of centimetres long, with the height being the shortest dimension. Crawling along three edges, an ant moves from a top corner of the block to the furthest-away bottom corner. In so doing it travels ten centimetres further than if it had chosen the shortest route over the surface of the block.
What are the dimensions of the block?