Calculating the Volume of a Triangular Prism: Step-by-Step Guide with Example

Volume of a Triangular Prism

To find the volume of a triangular prism, you will need to know the base area and the height of the prism

To find the volume of a triangular prism, you will need to know the base area and the height of the prism.

The base of a triangular prism is a triangle. To find the area of a triangle, you can use the formula:

Area of a triangle = 1/2 * base * height

Once you have calculated the area of the base, you can multiply it by the height of the prism to get the volume.

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

Let’s go through an example to illustrate the process:

Example:
Find the volume of a triangular prism with a base width of 6 units, base height of 4 units, and prism height of 10 units.

1. Calculate the area of the base:
Area of the base = 1/2 * base * height
= 1/2 * 6 * 4
= 12 square units

2. Multiply the area of the base by the height of the prism:
Volume of the triangular prism = Area of the base * height
= 12 * 10
= 120 cubic units

Therefore, the volume of the triangular prism is 120 cubic units.

Remember to always include the appropriate units in your final answer. In this case, the volume is given in cubic units since it represents three-dimensional space.

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