Enter the perimeter of the base and the height of the prism into the calculator to determine the lateral area. This calculator can also evaluate any of the variables given the others are known.

Lateral Area Of Prism Formula

The following formula is used to calculate the lateral area of a prism.

LA = P * h

Variables:

  • LA is the lateral area of the prism (square units)
  • P is the perimeter of the base (units)
  • h is the height of the prism (units)

To calculate the lateral area of a prism, multiply the perimeter of the base by the height of the prism.

What is a Lateral Area of a Prism?

The lateral area of a prism is the sum of the areas of its lateral faces, which are the faces that connect the bases of the prism. It does not include the areas of the bases themselves. In other words, it is the surface area of the prism excluding the top and bottom. The formula to calculate the lateral area of a prism is the perimeter of the base times the height of the prism.

How to Calculate Lateral Area of a Prism?

The following steps outline how to calculate the Lateral Area of a Prism.


  1. First, determine the perimeter of the base (P) in the given units.
  2. Next, determine the height of the prism (h) in the given units.
  3. Next, gather the formula from above: LA = P * h.
  4. Finally, calculate the Lateral Area of the Prism.
  5. After inserting the values of P and h into the formula and calculating the result, check your answer with the calculator above.

Example Problem:

Use the following variables as an example problem to test your knowledge.

Perimeter of the base (P) = 20 units

Height of the prism (h) = 8 units