Volume of a Triangular Prism


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Volume of Triangular Prism
The volume of a triangular prism is the amount of three-dimensional space it occupies. A triangular prism is a three-dimensional shape with two parallel and congruent triangular bases, and three rectangular faces connecting the corresponding sides of the bases.

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Volume of Triangular Prism

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Formula for the Volume of a Triangular Prism
The general formula for the volume (V) of any prism is:
V = Area of the Base × height of the Prism

For a triangular prism, the “base” refers to the triangular face. So, the formula becomes:
V = (Area of the Triangle Base) × (height of the Prism)
V = (1/2 × base of triangle × height of triangle) × (height of the Prism)
V = 1/2bhl

Example
Problem:
A triangular prism has a base of 6 cm, a triangle height of 4 cm, and a prism length of 10 cm. Find its volume.
Solution:
Area of the triangle:
1/2 × 6 × 4 = 12 cm2
Volume of the prism:
12 cm2 × 10 cm = 120 cm3

Videos

Volume of a Triangular Prism
How to calculate the volume of a triangular prism using a simple formula?
The volume is equal to the product of the area of the base and the height of the prism.
The base is the area of a triangle - it could be a right triangle, an isosceles triangle, scalene triangle or an equilateral triangle.
You need to know how to calculate the area of an equilateral triangle and the area of a scalene triangle with 3 different sides using heron’s formula.

Finding the Volume of a Triangular Prism
How to find the volume of a triangular prism?




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