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

by : $143$

 * The Stone Pedestal

Solution

 * $1458$ blocks.

Proof
Ridiculously messy question.

Let $2 x$ be the number of blocks used in total.

Then we have that $x$ are used in the base and $x$ are used in the pedestal.

Let $y$ be the number of blocks on along one edge of the pedestal.

We have that:
 * $x = y^3$

It looks as though the length of one side of the base is $3$ times the length of one edge of the pedestal.

On that assumption, we have that: