How many solutions are there to the 3D squares puzzle?

The 3D squares puzzle, also known as the Soma Cube, has 240 distinct solutions.

Here's why:

* The Pieces: The puzzle consists of 7 pieces made from 27 smaller cubes. Each piece has a unique shape.

* The Goal: The goal is to assemble these 7 pieces into a 3x3x3 cube.

* Rotations and Reflections: While you can rotate and reflect the pieces, a solution is considered distinct if the pieces are arranged differently, even if they are rotations or reflections of another solution.

Therefore, there are 240 unique ways to arrange the Soma Cube pieces to form a 3x3x3 cube.