# Volume Of A Triangular Prism Formula

## Volume Of A Triangular Prism Formula

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The Volume Of A Triangular Prism Formula is the space it occupies in all three dimensions. A prism is a solid object with equal bases, flat rectangular side faces, and the same cross-section all the way around. Different varieties of prisms are classed and named based on the form of their base. A triangular prism has two triangular bases that are identical and three rectangular lateral sides.

## What is the Volume of a Triangular Prism?

The Volume Of A Triangular Prism Formula may be estimated by multiplying the area of the triangle base by the prism’s height, also known as its length.

### Definition of Triangular Prism

A polyhedron with two triangular bases and three rectangular sides is known as a triangular prism. It can also be thought of as a pentahedron (since it has 5 faces), with the edges and vertices of the bases connected by three rectangular sides. The two triangular bases are, by definition, parallel and congruent.

It has

• 2 bases (which are congruent triangles)
• 3 side faces (which are congruent rectangles)
• Total number of faces – 5
• 9 edges
• 6 corners or vertices

## Volume of Triangular Prism Formula

The Volume Of A Triangular Prism Formula is the space inside it or the space filled by it. It is measured in cubic quantities like cm3, m3, in3, and so forth. Students will look at the formulae for calculating the volumes of various forms of triangular prisms. Any prism’s volume is calculated by multiplying its base area by its length.

The Volume Of A Triangular Prism Formula = base area × length of the prism

### Volume of a triangular prism = area of base triangle × length of the prism

Based on the type of base triangle and the information supplied, students may calculate its area. The Volume Of A Triangular Prism Formula for calculating the area of the base triangle is shown below.

If the base triangle is equilateral (in this instance, the prism is termed an equilateral triangular prism), then its area = √3a2/4.

If the base ‘b’ and height ‘h’ of a triangle are provided, its area equals (1/2) bh.

If the base triangle is right-angled (the prism is termed a right triangular prism in this case) with two legs ‘b’ and ‘h,’ then its area = (1/2) bh

If the base triangle is an isosceles triangle with sides ‘a,’ ‘a,’ and ‘b,’ its area is (b/4)× √(4a2 – b2)

If the base triangle is a scalene triangle with all three sides ‘a, b, and c’ known, the area is determined using √[s(s-a)(s-b)(s-c)] and s = (a + b + c)/2. It is worth noting that this formula (also known as Heron’s formula) can be used for an isosceles triangle (or) an equilateral triangle.

If the base triangle’s two sides ‘a’ and ‘b’, as well as the included angle “, are specified, the area may be calculated using 1/2 ab sin θ.

## How to Find the Volume of Triangular Prism?

The  Volume Of A Triangular Prism Formula may be computed using the procedures below and the example below. Before students begin, double-check that all measurements are in the same units.

Step 1: Determine the type of base triangle and calculate its area using an appropriate method (as explained in the previous section).

Step 2: Determine the prism’s length (Note that this length of the prism is also known as the height of the prism, and it should not be confused with the height of the base triangle).

Step 3: To calculate the volume, multiply the base area (from step 1) by the prism’s length.

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