What is the Formula for the Surface Area of a Regular Quadrangular Prism?

Understanding the Quadrangular Prism

A quadrangular prism is a three-dimensional shape that has two parallel rectangular sides and four identical faces. It is also known as a rectangular prism. The formula for finding the surface area of a quadrangular prism is relatively simple.

Calculating the Surface Area of a Quadrangular Prism

The formula for calculating the surface area of a quadrangular prism is as follows:

Surface Area = 2 x (l x w) + 2 x (h x w) + 2 x (h x l)

In this formula, l stands for the length of the prism, w stands for the width of the prism, and h stands for the height of the prism.

Example Calculation

To illustrate this formula, let’s consider a quadrangular prism that has a length of 5 cm, a width of 4 cm and a height of 3 cm. The surface area of this prism would be calculated as follows:

Surface Area = 2 x (5 x 4) + 2 x (3 x 4) + 2 x (3 x 5) = 92 cm²

Conclusion

As you can see, the formula for finding the surface area of a quadrangular prism is relatively straightforward. All you need to do is plug in the values for the length, width and height of the prism and the formula will quickly yield the surface area.