Finding the Volume of a Triangular Prism: Step-by-Step Guide and Example

Volume of a Triangular Prism

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

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

The formula for the volume of a prism is V = Bh, where V represents the volume, B represents the base area, and h represents the height.

To find the base area of the triangle, we can use the formula for the area of a triangle, which is A = (1/2)bh, where A is the area, b represents the base length, and h represents the height of the triangle.

Let’s go through an example:

Example:
Consider a triangular prism with a base triangle that has a base length of 6 units and a height of 4 units. The height of the prism is 10 units.

To find the base area, we substitute the given values into the formula for the area of a triangle:
A = (1/2)bh = (1/2)(6)(4) = 12 square units.

Now, we can calculate the volume of the prism by multiplying the base area by the height of the prism:
V = Bh = (12)(10) = 120 cubic units.

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

Remember, it is important to use the correct units when expressing the volume. In this example, the volume would be written as 120 cubic units.

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