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# Grouping of cuboids

### Grouping of cuboids

This animation demonstrates various types of cuboids through everyday objects.

Mathematics

Keywords

cuboid, square prism, cube, grouping of cuboids, set, grouping, mathematics

Related items

### Scenes ### Grouping of cuboids

• cuboids
• square prisms
• cubes

One way of grouping the cuboids is according to their formation.

A cuboid is a prism with a rectangular base.

Square prisms are a special type of cuboids.

Square prisms are cuboids with a square face. The face opposite to it is also a square. If there are no other square faces, the remaining 4 faces are congruent rectangles.

Cubes are a special type of square prisms, therefore they belong to a different category.

A cube is a cuboid with six square faces. Put differently, a cube is a square prism where the height and the length of the edge of the base are equal. Or, a cube is a cuboid with at least 3 square faces. If two of these are opposite to each other, we have a square prism, so the third face is a lateral face of the prism. In other words all the faces of the resulting prism are congruent squares.

If any two of the 3 faces are not opposite to a third, they share a common vertice. Being rectangles, all their opposite faces are congruent with them, so they are also squares.

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