A triangular prism is a three-dimensional polyhedron with two triangular bases and three rectangular sides. The two bases in this prism are parallel and congruent, as in other Prisms. It has a total of 5 faces, six vertices, as well as a total of nine edges.
The triangular prism’s sides and bases are either congruent or oblique. The prism’s edges connect to the corresponding sides. This prism’s two bases are equilateral triangles, and their edges are parallel. In this article, we will look at the triangular prism and other prisms.
Invention of Rectangular Prism and Triangular Prism
Thorold Gosset discovered this series in 1900. It contains all regular polytope facets and simplexes and duplexes (equilateral triangles and squares in the case of the triangular prism). A rectangular prism is also known as a cuboid due to its shape. We can find a rectangular prism in everyday objects such as geometry boxes, notebooks, diaries, rooms, etc.
Triangular Prisms are Unique
In geometry, a prism can be defined as a polyhedron composed of an n-sided polygon base. This second base is a translated copy (rigidly moved without rotation) of the first and ‘n’ other faces, all of which must be parallelograms, connecting the two bases’ corresponding sides. The triangular prism is a three-dimensional solid with two identical ends connected by parallel lines, as ‘tri’ refers to three. It is also defined in geometry as a polyhedron with three rectangular sides and two triangular bases, one on each side.
Facts About Triangular Prism
- Number of faces in a triangular prism are five.
- 9 edges are present in a triangular prism.
- Number of vertices in a triangular prism are six.
- Base Shape of the triangular prism is triangular.
- Side Shape of a triangular prism is rectangular
- Surface Area of a triangular prism is 2(Area of triangular bases) + Perimeter of base x Height of prism
- Volume of the triangular prism equals the area of the base multiplied by the height of the prism.
Do you know what a Rectangular Prism is? No? You can visit cuemath.com to understand this concept in a fun way.
A rectangular prism is defined as a six-faced three-dimensional shape (two at the top and bottom and four lateral faces). The prism’s faces are all rectangular. As a result, there are three sets of identical faces here.
Rectangular Prism Properties
- A rectangular prism has six faces, twelve edges, along with eight vertices.
- The rectangular prism’s top and bottom are always rectangles.
- Like the cuboid, it has three dimensions: length, width, and height.
- Pairs of opposite faces have the same or are congruent.
- The lateral faces of a right rectangular prism are basically rectangles.
- It has a cross-section that is rectangular.
- It has the appearance of a cuboid.
Rectangular Prism Types
Rectangular prisms are classified into two types. They are:
- Right Rectangular Prism
- Oblique Rectangular Prism
Examples of Prism in Real Life
1. Corrugated Box
Corrugated boxes are typically made in the shape of a cube or cuboid. Both the cube and the cuboid are made up of two identical parallel bases joined together by four two-dimensional flat faces. As a result, they are a prominent example of prism-shaped objects found in everyday life.
2. Books and Notebooks
Books and notebooks are other examples of prism-shaped objects that you can find all around us. A book or notebook typically comprises two congruent and parallel rectangle or square-shaped faces joined together by four rectangular or square flat faces.
3. Rubik’s Cube
A Rubik’s cube is a well-known example of a square prism because it has six faces that are all congruent and perpendicular to each other.