Henry Ernest Dudeney/Modern Puzzles/143 - The Stone Pedestal

Modern Puzzles by Henry Ernest Dudeney: $143$

The Stone Pedestal

In laying the base and cubic pedestal for a certain public memorial,

the stonemason used cubic blocks of stone all measuring one foot on each side.

There was exactly the same number of these blocks (all uncut) in the pedestal as in the square base on the centre of which it stood.

Look at the sketch and try to determine the total number of blocks actually used.

The base is only a single block in depth.

Sources

• 1926: Henry Ernest Dudeney: Modern Puzzles ... (previous) ... (next): Geometrical Problems: Various Geometrical Puzzles: $143$. -- The Stone Pedestal
• 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Geometrical Problems: Solid Geometry Puzzles: $314$. The Stone Pedestal