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In a cuboid, the number of layers is not the same in every dimension. Examples include 1x3x3, 2x2x3, 3x3x4 and 3x3x15. The shape is no longer a cube, so some moves you know from the 3x3 cube work differently or are not possible at all. If you can already solve a 3x3x3, cuboids let you use that knowledge on completely new puzzles. In this category you will find both small models you can solve in a few minutes and tall towers for collectors.
The square faces of a cuboid turn 90 degrees, just like on a classic cube. The rectangular faces turn only 180 degrees, because after a quarter turn the layer would not fit the rest of the puzzle. On a 2x3x3, the 3x3 faces turn normally, while the side faces only make half turns. Floppy cubes, i.e. 1x3x3, turn only 180 degrees on every side. Because of this limitation, 3x3x3 algorithms do not carry over to cuboids one to one. Some larger models can also change shape while scrambling (shape-shifting), which raises the difficulty considerably.
You will also find the cuboid mechanism in less obvious forms. Examples include the Z-Cube Christmas Tree Cube, the Zcube DinoSaur 2x2x3, the LanLan cylinder and the QiYi Fidget Cube. There are also models with a different colour scheme, such as the QiYi Two Colors 2x2x3 or the Four-Color Cube 2x3x3. Some floppy cubes come in several versions, e.g. the YuXin 1x3x3 with glossy or matte stickers. You can check the available colours and versions on each product page.