# Penta Cuboid (3 of 3)

When you win the auction, you get the puzzle shown in the images on this page. The shipping weight of the puzzle is 500g and the estimated shipping cost to the US is AUD $20.90 for international standard service.

This is finished product from leftover pieces of Penta Cuboid + T-groove Box. The box of this one is made of Bintangor.

Juno modified the pentomino pieces to form a cube. As puzzle lovers know, twelve pentomino pieces can form a 3 x 4 x 5 cuboid but those pieces cannot form a cube. Juno changed the ratio of the element of the pieces from a cube to a cuboid, its length of the sides has a ratio of 3 x 4 : 4 x 5 : 5 x 3, now all the twelve pieces can form a cube.

The actual length of the elements is 12 x 15 x 20 mm and it is not a cube anymore but all the twelve pieces still consist of five elements. Then, he named the puzzle Penta Cuboid. The size of the assembled cube is 60 x 60 x 60mm.

There are 3940 solutions to make a 3 x 4 x 5 cuboid using a normal set of solid pentomino. In contrast, Penta Cuboid has a unique solution since Juno carefully chose a malicious combination of the pieces. It will take at least an hour to solve the puzzle even if you are lucky and very talented.