A rectangular prism is a three-dimensional figure having six faces. Here all the faces, top, lateral and bottom faces of a prism rectangular and opposite faces would be identical. Pretty much like all the three-dimensional spaces a rectangular prism also has a surface area and volume. It is also known as a cuboid. There is a need to educate yourself in detail about a rectangular prism with the necessary formulas to arrive at the volume and the surface area.
More about a rectangular prism
In simple terms, a rectangular prism would be a prism whose bases as both the bottom face and top face would be rectangles. There are 6 faces and out of that 3 pairs would be identical opposite sides. Every pair of the opposite side would be identical in a rectangular prism. The dimensions would be length, width, and breadth. In a real-life, some of the examples of a rectangular prism are fish tanks, laptops, school notebooks, as structures like cargo sheds would be important. It is better to have an idea about a rectangular prism when all the sides turn out to be open.
Rectangle prism and its types
A couple of types of triangle prism exist. Their classification occurs based on the shape of the sides or the angles that is developed by the side faces of the base.
- A right rectangular prism where all the sides would be perpendicular to each other to all the bases. Here all the side faces would not be rectangles.
- An oblique rectangular prism is not a right or a straight rectangular prism as the side faces would be parallelograms. A rectangular prism that is without any form of specifications is a right rectangular prism.
The properties of a rectangular prism
The property of a rectangular prism is an extension of its definition
- The rectangular prism would have 8 vertices, 6 faces, and 12 edges
- The side faces are rectangles for a right rectangle prism whereas the oblique rectangular prims would be parallelograms.
- Once again there are three dimensions which are length, breadth, and height.
- Every pair of opposite faces of a rectangular prism is concurrent.
The difference between a cube and a rectangular prism
Both cuboid and cube are rectangular prisms. A cube has 6 faces as all of them would be identical squares and on the other hand, a cuboid has 6 faces where all the rectangles from an opposite side turn out to be equal.
The volume and surface area of a rectangular prism
The volume of a rectangular prism happens to be the space present in it. One can arrive at the volume of a rectangular prism when you multiply the base area by its height.
- Lw= is the base area of a rectangular prism( it is by using the area of a rectangular formula)
- H= is the height of a rectangular prism
- Hence we arrive at the volume of a rectangular prism by the formula V= Lw* h= lwh
In a rectangular prism, there are a couple of types of surface area. The first would be the total surface area which is TSA and the second would be LSA, lateral surface area. The former is the surface area of the side of its face. An LSA is the sum of the sides of no faces. There is a formula in place to calculate the surface area respectively.
To gain an idea about the concepts the best place to find information would be Cuemath. It is the best online interactive platform addressing all your doubts on the subject.