How to Find the Area of a Triangular Prism

What is a Triangular Prism?

A triangular prism is a three-dimensional figure that has two triangular bases and three rectangular sides. It is a polyhedron, which means it has flat faces and straight edges. The triangular prism is named after the shape of its base, which is a triangle. It is one of the most widely used shapes in architecture and engineering.

How to Find the Area of a Triangular Prism?

To calculate the area of a triangular prism, you need to know the size of the triangle's base and the height of the prism. Once you have these measurements you can use the formula:

Area = (base x height) + (2 x area of triangle)

Here, the base is the length of one side of the triangle, and the height is the perpendicular distance from the triangle's base to the opposite side. The area of the triangle can be calculated using the formula:

Area = (base x height) ÷ 2

Example

Let's take a look at an example to understand how to calculate the area of a triangular prism. Suppose we have a triangular prism with a base of 10 cm and a height of 12 cm. To calculate the area of this prism, we would first need to calculate the area of the triangle. To do this, we would use the formula:

Area of triangle = (10 x 12) ÷ 2 = 60 cm²

Now that we know the area of the triangle, we can use the formula for the area of a triangular prism:

Area = (10 x 12) + (2 x 60) = 180 cm²

Conclusion

In this article, we discussed how to find the area of a triangular prism. We used the formula: Area = (base x height) + (2 x area of triangle). We then used an example to illustrate how to use this formula. We found that the area of the triangular prism in the example was 180 cm². Finally, we concluded that the area of a triangular prism can be found by using this formula.