# Volume of a Triangular Prism

Calculating the volume and surface area of regular solid objects is one of the fundamentals of solid geometry. In this article, we'll focus on how to calculate the volume of a triangular prism...

Mukulika Mukherjee

Last Updated: Apr 9, 2018

^{3}. In mathematics, we have formulas to calculate the volume of three dimensional solids of different shapes. The most common solids include spheres, pyramids, cubes, cuboids, cones, cylinders and prisms.

Calculating the Volume of a Triangular Prism

The volume of a prism, in general, is obtained by multiplying the area of the base of the prism, with the distance between the two bases (or height) of the prism. This is given by the formula:

or,V = Bl where B is the area of the base and l is the height of the prism.

For a triangular prism, the formula for calculating the volume is as given below.

V = ½ bhl

where V is the volume of the triangular prism, b is the base of the triangle, h is the height of the triangle and l is the height of the prism (as shown in the diagram).

While calculating the volume of a triangular prism, or using the volume formula for any other geometrical shape, make sure that all the measurements are in the same unit. If not, then convert the units using proper methods of conversion. However, if you find that the given measurements are in terms of three or more units, calculate the volume after converting all of them to the S.I. unit of length, i.e., meter (m).

*Volume of a prism = Area of the base of the prism x height of the prism*

For a triangular prism, the formula for calculating the volume is as given below.

where V is the volume of the triangular prism, b is the base of the triangle, h is the height of the triangle and l is the height of the prism (as shown in the diagram).

While calculating the volume of a triangular prism, or using the volume formula for any other geometrical shape, make sure that all the measurements are in the same unit. If not, then convert the units using proper methods of conversion. However, if you find that the given measurements are in terms of three or more units, calculate the volume after converting all of them to the S.I. unit of length, i.e., meter (m).

**Problem 1**

Consider a triangular prism with 20 cm as the length of the base, 15 cm as the height of the base and 35 cm as the distance between its two bases. Find the volume of the prism.

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**Problem 2**

The area of the triangular base of the prism is 500 cm3. If the height of the prism is 20 cm, calculate the volume of the prism.

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