Table of Contents

Last modified on August 3rd, 2023

The surface area of a triangular prism is the entire space occupied by its outermost layers (or faces). It is expressed in square units such as m^{2}, cm^{2}, mm^{2}, and in^{2}.

Like all 3-dimensional shapes, 2 types of surface areas can be calculated for a triangular prism.

The lateral surface area (*LSA*) of a triangular prism is only the sum of the areas of all its faces except the bases. The formula to calculate the total and lateral surface area of a triangular prism is given below:

Let us solve an example to understand the concept better.

** Find the lateral surface area of a triangular prism given in the figure**.

Solution:

As we know,

Lateral Surface Area (*LSA*) = (*s _{1}* +

= 18 × 9.6

= 172.8 in

The total surface area (*TSA*) of a triangular prism is the sum of the lateral surface area and twice the base area. The formula to calculate the* TSA* of a triangular prism is given below:

**Find the total surface area of a triangular prism given in the figure.**

Solution:

As we know,

Total Surface Area (*TSA*) = (*b* × *h*) + (*s _{1}* +

∴

**More Resources:**- Volume of a Prism
- Surface Area of a Prism
- Right Prism
- Oblique Prism
- Rectangular Prism
- Volume of a Rectangular Prism
- Surface Area of a Rectangular Prism
- Triangular Prism
- Volume of a Triangular Prism
- Surface Area of a Triangular Prism
- Hexagonal Prism
- Volume of a Hexagonal Prism
- Surface Area of a Hexagonal Prism
- Pentagonal Prism
- Volume of a Pentagonal Prism
- Surface Area of a Pentagonal Prism
- Trapezoidal Prism
- Volume of a Trapezoidal Prism
- Surface Area of a Trapezoidal Prism
- Square Prism
- Volume of a Square Prism
- Surface Area of a Square Prism
- Octagonal Prism
- Heptagonal Prism
- Decagonal Prism

Last modified on August 3rd, 2023