Calculating the Volume of a Triangular Prism | A Step-by-Step Guide with Examples

Volume of a triangular prism

The volume of a triangular prism refers to the amount of space enclosed inside the prism

The volume of a triangular prism refers to the amount of space enclosed inside the prism. To calculate the volume of a triangular prism, you need to know the base area and the height of the prism.

The formula for the volume of a triangular prism is:

Volume = Base area × Height

To find the base area, you first need to calculate the area of the triangle. The formula to find the area of a triangle is:

Area = (base × height) / 2

The base of the triangle can be obtained by measuring the length of one of its sides, while the height is the perpendicular distance from the base to the opposite vertex.

Let’s go through an example:

Suppose we have a triangular prism with a base measuring 6 cm and a height of 8 cm. The height of the prism is 10 cm.

First, calculate the area of the triangle:

Area = (base × height) / 2 = (6 cm × 8 cm) / 2 = 24 cm²

Next, plug in the values into the volume formula:

Volume = Base area × Height = 24 cm² × 10 cm = 240 cm³

Therefore, the volume of the triangular prism is 240 cm³.

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