How Many Faces Does a Triangular Prism Have

# How Many Faces Does a Triangular Prism Have

Edited By Team Careers360 | Updated on Mar 24, 2023 05:17 PM IST

## Introduction

A polyhedron with 3 rectangular sides and 2 triangular bases is known as a triangular prism. It is a three-dimensional shape with three sides, two base faces, and edges connecting them. The three lateral faces, shaped like rectangles, are congruent with each other and the two triangle-shaped faces. Therefore it has a total of five faces, six vertices, and nine edges. If the sides are rectangular, it is referred to as a right triangle prism; otherwise, it is referred to as an oblique, triangular prism. It is known as a uniform or regular triangular prism if the bases are equilateral and the sides are square.

 No. of Faces in Triangular Prism 5 faces

## 1. What is Triangular Prism?

Nine different nets make up the 3D polyhedron, known as Triangular Prism. The bases are connected at their vertices and edges by three rectangular sides. The rectangular sides of the triangular prism are joined side by side. The rectangular sides of the triangular prism are joined side by side. A triangle is represented by any cross-section parallel to the base faces. A triangular pyramid, unlike a triangular prism, has four triangular bases that are all congruent with one another and connected. The triangular prism has parallel sides and bases unless they are oblique. The corresponding sides of the prism are joined by the edges. Equilateral triangles parallel to one another form the two bases of this prism.

## 2. Properties of the Triangular Prism

A triangular prism is easily recognised due to its properties. A triangular prism's properties are listed below:

• There are 6 vertices, 5 faces, and 9 edges (which are joined through rectangular faces).

• It has three rectangular faces and two triangle faces, making it a polyhedron.

• The bases of the two triangles are congruent with each other.

• A triangle is the shape of any cross-section of a triangular prism.

• The triangular prism is referred to as semiregular if the triangular bases are equilateral and the other faces are squares instead of rectangles.

## 3. Faces, Vertices and Edges of Triangular Prism

As previously mentioned, a triangular prism contains 6 vertices, 9 edges, and 5 faces, including 2 triangular bases and 3 rectangular faces. The two triangular bases of the triangle prism are joined by lines that create rectangles, and their vertices make up the triangle prism's vertices. The six edges of 2 triangular bases (3 + 3) and three sides that join the bases form the edges of the triangular prism.

 Prism Faces Vertices Edges Triangular Prism 5 6 9

1. How many sides are there in a Triangular Prism?

There are 9 sides in the triangular prism, also known as the edges of the triangular prism.

2. What is the Volume of a Triangular Prism?

A triangular prism's volume is determined by multiplying its height by the area of its triangle base. The following formula can be used to determine the triangular prism's volume:

\text { Volume }=\text { Area of the Base } \times \text { Height of prism }

Considering that the base is triangular, thus the area of the base will be;

\text { Area }=1 / 2 \mathrm{~b} h

Thus, the volume of the triangular prism will be given as;

\text { Volume of Triangular Prism }=1 / 2 \times \mathbf{b} \times \mathbf{h} \times \mathbf{I}

Where, h stands for the height of the triangle, b stands for base length and length between the triangle bases is denoted by l.

3. What is the Surface Area of a Triangular Prism?

The triangular prism's surface area equals the sum of its lateral surface area and twice its base area. In square units, it is measured. The formula for a triangular prism's surface area is as follows:

\begin{aligned}

&\text { Surface area }=(\text { Perimeter of the base } \times \text { Length })+(2 \times \text { Base Area })=(a \\

&+b+c) L+b h

\end{aligned}

Where, L= Length of Prism

a, b, and c = three edges of triangular bases

b = bottom edge of base triangle

h = height of base triangle

bh = total area of two triangular faces

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