Table of Contents

Last modified on March 28th, 2023

The volume of a triangular prism is the space it occupies in the three-dimensional plane. It is measured in cubic units such as m^{3}, cm^{3}, mm^{3}, ft^{3}.

The formula to calculate the volume of a triangular prism is given below:

In the above formula, the product of the half the base edge and the height is the base area of the prism. Therefore, we can also write the formula as:

**Volume (****V****) = Base Area x Length**

Let us solve some examples to understand the above concept better.

**Find the volume of a right triangular prism whose base is 7 cm, the height is 8 cm, and the length is 25 cm.**

Solution:

As we know,

Volume (*V*) = ${\dfrac{1}{2}\times b\times h\times l}$, here *b* = 7 cm, *h* = 8 cm, *l* = 25 cm

∴ *V* = ${\dfrac{1}{2}\times 7\times 8\times 25}$

= 700 cm^{3}

**Find the volume of a triangular prism given in the figure.**

Solution:

As we know,

Volume (*V*) = ${\dfrac{1}{2}\times b\times h\times l}$, here *b* = 5 cm, *h* = 6 cm, *l* = 14 cm

∴ *V* = ${\dfrac{1}{2}\times 5\times 6\times 14}$

= 210 cm^{3}

Finding the volume of a triangular prism when the **BASE AREA** is known

**Find the volume of a triangular prism given in the figure whose base area is 256 in ^{2}.**

Solution:

As we know,

Volume (*V*) = Base Area × Length, here base area = 256 in^{2}, length = 6.5 in

∴ *V* = 256 × 6.5

= 1664 in^{3}

**More Resources:**- Volume of a Prism
- Surface Area of a Prism
- Right Prism
- Oblique Prism
- Rectangular Prism
- Volume of a Rectangular Prism
- Surface Area of a Rectangular Prism
- Triangular Prism
- Volume of a Triangular Prism
- Surface Area of a Triangular Prism
- Hexagonal Prism
- Volume of a Hexagonal Prism
- Surface Area of a Hexagonal Prism
- Pentagonal Prism
- Volume of a Pentagonal Prism
- Surface Area of a Pentagonal Prism
- Trapezoidal Prism
- Volume of a Trapezoidal Prism
- Surface Area of a Trapezoidal Prism
- Square Prism
- Volume of a Square Prism
- Surface Area of a Square Prism
- Octagonal Prism
- Heptagonal Prism
- Decagonal Prism

Last modified on March 28th, 2023

Love this website it is very helpful and love that it puts a lot of pictures in the math problems.