Where l is the length of the base, w is the width of the base, and h is the height of the prism. The figure below shows a cuboid example:Ī cube is a special case of a cuboid that shares all of the properties of a cuboid while also having edges that are all congruent.īelow are formulas for the volume, surface area, and space diagonals of a rectangular prism. In other words, all cuboids are rectangular prisms, but not all rectangular prisms are cuboids. In a rectangular prism, the lateral faces may be parallelograms which means that some of the faces do not meet at 90° angles. This is the key difference between a cuboid and a rectangular prism. All the faces of a cuboid meet at 90° angles. The figure below shows an oblique rectangular prism example:Ī cuboid is a 3D figure made up of 6 rectangular faces. This results in the lateral faces being parallelograms rather than rectangles, while the bases are still both rectangles. The figure below shows a right rectangular prism example:Īn oblique rectangular prism is a rectangular prism in which the bases and lateral faces are not perpendicular. As a result, all of the faces of a right rectangular prism are rectangles (this includes square bases or faces). In other words, all the faces meet at right angles (90°). Right rectangular prismĪ right rectangular prism is a rectangular prism in which the bases are perpendicular to its lateral faces. There are two rectangular prism types: right rectangular prisms and oblique rectangular prisms. The figure below shows two cross sections, shaded in purple, that are parallel and congruent to the bases of the rectangular prism. Any cross section that is parallel to a face of a rectangular prism has the shape of a rectangle or parallelogram and is congruent to the face.Opposing pairs of edges are also congruent and parallel. Opposing pairs of faces in a rectangular prism are parallel and congruent.
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