Common Core Math Vocabulary

Rectangular Prism - Definition with Examples

What is a Rectangular Prism?  

Rectangular Prism Definition: A rectangular prism is a 3-dimensional solid shape with 4 rectangular sides joined together at the edges, and forming two pairs of rectangular bases parallel to each other. 

Rectangular Prisms

 

Types of Rectangular Prisms 

Rectangular prisms are of two types: 

Right Rectangular Prism: A rectangular prism whose sides are at right angles to the bases are known as right rectangular prism. 

Non-Right Rectangular Prism: A rectangular prism whose sides are not at right angles to the bases are known as non-right rectangular prism.

Types of Rectangular Prism

 

Rectangular Prism and its Net

The net of the rectangular prism consists of two identical rectangular bases and 4 rectangular sides.

Net of rectangular prism

 

Surface Area of a Rectangular Prism 

Consider a rectangular prism of length (l), height (h) and width (w). 

Surface Area of a Rectangular Prism

Area of the orange face = 2 (width × length) = 2wl

Area of the blue face = 2 (length × height) = 2lh

Area of the green face = 2 (width × height) = 2wh

 

Surface area = Sum of all the area of its faces = 2wl + 2lh + 2wh = 2 (wl + lh + wh)

Surface area = 2 ( wl + il + wh )

Volume of a rectangular prism 

Volume of a rectangular prism is simply obtained by multiplying all three dimensions. i.e. length (l), height (h) and width (w). 

Volume = l X W X h = lwh

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