A rectangle-shaped prism is a prism with rectangular bases. The lateral faces of a rectangular prism space parallelograms. Below are a couple of examples of rectangle-shaped prisms.

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A rectangle-shaped prism is a shape that is typically seen in day-to-day life. A box, one eraser, and also an aquarium room all examples of real life objects that can be in the form of a rectangle-shaped prism.


Characteristics that a rectangle-shaped prism

A rectangular prism is fastened by six deals with consisting of two rectangular bases and also four lateral encounters in the shape of a parallelogram. A rectangular prism has 12 edges and 8 vertices. The 12 edges of a rectangle-shaped prism are in 3 groups of parallel lines. The parallel edges room equal in length.


The opposite encounters are parallel and congruent to each other. Any type of cross ar that is parallel to a confront of a rectangle-shaped prism has the form of a rectangle or parallelogram and is congruent to the face.


Two rectangle-shaped cross sections for the rectangular prism are shown in eco-friendly above. They room congruent to the two rectangle-shaped bases of the prism due to the fact that they are developed by overcome sections that room in airplane parallel to the bases. This is true for any kind of cross ar parallel to the deals with of a rectangle-shaped prism.

Rectangular prism classifications

Rectangular prisms have the right to be classified based upon how your bases and also lateral deals with intersect or meet. A right rectangular prism has bases that space perpendicular to its lateral faces, meaning that they accomplish at ideal angles. A rectangular prism that doesn"t meet these conditions is rather an oblique rectangle-shaped prism. A right rectangle-shaped prism is additionally called a cuboid.

Right rectangle-shaped prismOblique rectangular prism

There are likewise rectangular prisms that have specific names based on their characteristics:

A ideal square prism is a right rectangle-shaped prism with square bases.

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Volume that a rectangular prism

The volume, V, the a rectangle-shaped prism is

V = l·w·h

where l is the size of the base, w is the width of the base, and also h is the elevation of the prism. For a right rectangular prism, the height is its upright edge. For an oblique rectangular prism, the height is the perpendicular distance from any allude on one base to the various other base.