Characteristics of a cuboidĪ cuboid is made up of faces, edges, and vertices. The figure below shows two rectangular prism examples: one that is a cuboid (left) and one that is not a cuboid (right).Īs we can see from the figure, the only difference is that a rectangular prism only needs to have 2 bases that are rectangles, but a cuboid must have faces that are all rectangles. If the angles at the vertices are not right angles, then a rectangular prism is not a cuboid. Both have the same number of faces, edges, and vertices (6, 12, and 8 respectively), but the key difference is that a rectangular prism is only a cuboid if all the angles at the vertices of the cuboid measure 90°. In fact, a cuboid is always a rectangular prism, but a rectangular prism is not always a cuboid. A box, a refrigerator, and a book are all real life cuboid examples:Ī cuboid and a rectangular prism are very similar. Also, the reason we specify right square prism is because a square prism can have angles that are not necessarily 90° In this case, the square prism would not be a cuboid.Ĭuboids are very common in everyday life. A right square prism is not necessarily a cube since the other 4 faces may be rectangles. Right square prism - a right square prism is a cuboid in which at least two faces of the cube are squares, and all of the angles measure 90°.Cube - a cube is a cuboid in which all the edge lengths are equal.A hexahedron is not necessarily a cuboid, but a cuboid is always a hexahedron. Hexahedron - a hexahedron is a polyhedron with 6 faces.Rectangular prism - a rectangular prism is another term for a cuboid, given that all angles in the rectangular prism are right angles.The name "cuboid" means "like a cube." Depending on the dimensions of the cuboid, it may be referred to as a cube or a variety of other names, as detailed below: A cuboid is also classified as a convex polyhedron. The opposite faces (3 pairs) of a cuboid are congruent and all of the angles are right angles. Its angles are all right angles and its opposite faces are congruent and parallel to each other.Ī cuboid is a three-dimensional figure made up of six rectangular faces. A cuboid is a space shape with six rectangular faces.
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