# What is The Formula for The Volume of a Triangular Prism? Math Help

Here you will taught a quick method of working out the volume of a triangular prism by using the triangular prism formula.

The volume of a triangular prism can be worked out by applying the following mathematical formula:

**V = 1/2bhl**

b is the length of the base of the triangle.

h is the perpendicular height of the triangle (the height at right angle to the base length).

l is the length of the triangular prism.

So basically, all you need to do is multiply these 3 lengths of the triangular prism together, and then halve you answer.

Let’s take a look at a couple of examples on working out the volume of a triangular prism.

**Example 1**

Work out the volume of this triangular prism shown below.

First write down the values of the base, perpendicular height and length of the prism.

b = 4 cm, h = 13 cm and l = 42 cm.

Next plug these values into the formula for working out the volume of a triangular prism.

**V = 1/2bhl**

V = ½ × 4 × 13 × 42

V = 1092 cm³

**Example 2**

Work out the volume of this triangular prism shown below.

Like the first example, first write down the values of the base, perpendicular height and length of the prism.

b = 6.4 cm, h = 8.2 cm and l = 15.7 cm.

Next plug these values into the formula for working out the volume of a triangular prism.

**V = 1/2bhl**

V = ½ × 6.4 × 8.2 × 15.7

V = 411.968 cm³

For some extra question on calculating the volumes of triangular prisms click here.

Liked it

On December 15, 2010 at 7:13 am

NICE ONE. . . . . THERE IS ALSO A CORNICAL PRISM WHose formula is 1/3 X b X h. Where b equals l xb and h being the height.