A rectangle-shaped prism is a prism with rectangle-shaped bases. The lateral encounters of a rectangular prism space parallelograms. Listed below are a few examples of rectangle-shaped prisms.

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A rectangular prism is a form that is generally seen in daily life. A box, an eraser, and an aquarium space all instances of genuine life objects that deserve to be in the form of a rectangle-shaped prism.

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Characteristics of a rectangular prism

A rectangular prism is enclosed by six deals with consisting of two rectangular bases and four lateral faces in the form of a parallelogram. A rectangle-shaped prism has actually 12 edges and also 8 vertices. The 12 edges of a rectangle-shaped prism are in 3 teams of parallel lines. The parallel edges space equal in length.

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The opposite faces are parallel and also congruent to each other. Any kind of cross section that is parallel to a confront of a rectangular prism has the form of a rectangle or parallelogram and also is congruent come the face.

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Two rectangular cross sections because that the rectangle-shaped prism are presented in eco-friendly above. They room congruent come the two rectangular bases the the prism due to the fact that they are developed by overcome sections that are in plane parallel come the bases. This is true for any type of cross section parallel come the deals with of a rectangle-shaped prism.

Rectangular prism classifications

Rectangular prisms have the right to be classified based on how their bases and also lateral encounters intersect or meet. A right rectangular prism has bases that space perpendicular to its lateral faces, an interpretation that they meet at best angles. A rectangular prism that doesn"t meet these problems is rather an oblique rectangle-shaped prism. A right rectangular prism is likewise called a cuboid.

Right rectangular prismOblique rectangle-shaped prism
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There are additionally rectangular prisms the have certain names based upon their characteristics:

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

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Volume the a rectangle-shaped prism

The volume, V, of a rectangular prism is

V = l·w·h

where together is the length of the base, w is the broad of the base, and h is the elevation of the prism. Because that a right rectangle-shaped prism, the height is its vertical edge. For an oblique rectangular prism, the height is the perpendicular street from any suggest on one basic to the other base.