A prism is a solid object with two identical ends, flat faces, and has the same cross-section all along its length. The shapes of the ends of the prism give it a name such as a triangular prism, square prism, or pentagonal prism. A triangular prism is a prism with a cross-section in the shape of a triangle i.e. two triangular bases and three rectangular sides. Let us learn more interesting facts about the triangular prism in this article.

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1. | Definition of a Triangular Prism |

2. | Triangular Prism Properties |

3. | Volume of a Triangular Prism |

4. | Surface Area of a Triangular Prism |

5. | Triangular Prism Nets |

6. | Solved Examples |

7. | Practice Questions |

8. | FAQs on Triangular Prism |

## Definition of a Triangular Prism

A triangular prism is a 3D shape with two identical ends in the shape of a triangle connected by equal parallel lines. It is a polyhedronwith three rectangular sides and two triangular bases on either side that are parallel and congruent to each other. The height of a triangular prismis the perpendicular distance between the centers of the two parallel bases. The three rectangular sides help in connecting the vertices and edges of the base with each other and the sides of the rectangular base areconnected with each other side-by-side.

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### Triangular Prism Meaning

A triangular prism is a 3D polyhedron with three rectangular sides and two triangular sides identical to each other. The triangular prism consists of 2D shapes – rectangles and triangles as its faces. The top and bottom of the prism are in the shape of triangles that are known as bases. The rectangular sides are called lateral faces.The triangular prismis made up of 2 triangular baseswhich are congruent to each other, 3 side faces which are in the shape of rectangles that are congruent to each other, along with 9 edges, and 6 vertices.

L represents the length, h represents the height, and b represents the base in the image seen below.

### Right Triangular Prism

A right triangular prism is a prism with two triangular faces that are parallel and congruent to each other. The three rectangular faces in the right triangular prism are perpendicular to the triangular faces. The rectangular sides are said to be either in the shape of a rectangle or an oblique since prisms are not just restricted to triangles. The shape of the right triangular prism has 6 vertices, 9 edges, and 5 faces.

You can learn more about the right triangular prism along with calculating the surface area by checking out this interesting article.

## Triangular Prism Properties

The properties of a triangular prism help us to identify it easily. Listed below are the few properties of a triangular prism:

There are a total of 5 faces, 9 edges, and 6 vertices in a triangular prism.It is a polyhedron with three rectangular faces and 2 triangular faces.If the bases of the triangular prism are equilateral and the lateral faces are squares, then it is called a semiregular triangular prism.Two triangular bases are congruent and parallel to each other.Any cross-section of a triangular prism is in the shape of a triangle.

## Triangular Prism Nets

A triangular prism net is referred to as when the prism is opened and flattened out where the two shapes that make a triangular prism are seen clearly – two triangles and three rectangles. The bases of the prism are shaped in a triangle and the lateral faces are shaped like a rectangle. The image seen below shows the net of a triangular prism where the triangle and rectangle is seen clearly.

## Volume of a Triangular Prism

The volume of a triangular prism is the product of its triangular base area and height. As we already know that the triangular prism base is in the shape of a triangle, the area of the base will be the same as that of a triangle. Hence, **the Volume of a Triangular Prism = area of base triangle× height** or it can also be written as **Volume of Triangular Prism =½× b× h× l**, where b is the base length, h is the height of the triangle, and l is the length between the triangular bases.

For more information on the volume of a triangular prism, do check out this interesting article on the volume of a triangular prism.

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## Surface Area of a Triangular Prism

The surface area of a triangular prism is the area that is occupied by its surface. It is calculated as the sum of the lateral surface area and twice the base area of the triangular prism. Hence the formula to calculate the surface area is:

**Surface Area of a Triangular Prism =(bh + (a + b + c)H) **

where b and h are the base and height of the base, H is the height of the prism, and a + b + c is the perimeter of the base. For more information on the surface area formula and calculations, do look at this interesting article on the surface area of a triangular prism.

### Triangular Prism Related Topics

Listed below are a few interesting topics that are related to the triangular prism, take a look!