Surface Area of Triangular Prism or Solid

Surface Area of Triangular Prism
The surface area of a triangular prism is the total area of all its faces. A triangular prism is a three-dimensional shape with two identical, parallel triangular bases and three rectangular lateral faces connecting them.

The following diagram shows the formula for the surface area of a triangular prism. Scroll down the page for more examples and solutions for the surface area of a triangular prism.

Formula for the Surface Area of Triangular Prism
SA = 2 × Base Area + Perimeter of Base × Length of Prism
\(SA = 2 × \frac{1}{2}bh + (s_1 + s_2 + s_3) × L\)
\(SA = bh + (s_1 + s_2 + s_3) × L\)

b = Base of triangle
h = Vertical height of triangle
Base Area = Area of the Triangle = \(\frac{1}{2}bh\)
s₁, s₂, s₃ = Side lengths of the triangular base
Perimeter of Base = s₁ + s₂ + s₃
L = Length of Prism

Geometry Worksheets
Practice your skills with the following worksheets:
Printable & Online Geometry Worksheets

Steps to Calculate the Surface Area of Triangular Prism

1. Find the area of two triangular base:
   Total Base Area = \(2 × \frac{1}{2}bh = bh\)
   
2. Calculate the perimeter of the triangular base:
   Perimeter = \(s_1 + s_2 + s_3\)
   
3. Find the lateral area:
   Lateral Area = Perimeter × L
   
4. Add base area and lateral area:
   \(SA = bh + (s_1 + s_2 + s_3) × L\)
   

Finding the Surface Area of a Triangular Solid Part 1
How to find the surface area of a triangular solid, also known as a triangular prism?

• Show Step-by-step Solutions

Surface area of a triangular prism Part 2

• Show Step-by-step Solutions

Surface area of a triangular prism

• Show Step-by-step Solutions

Triangular Prisms: Given Dimensions

• Show Step-by-step Solutions

Check out our most popular games!
Fraction Concoction	Fact Family Game	Number Bond Garden
Online Addition Subtraction Game	Penguin Solitaire	Sawayama Solitaire
Ark Solitaire	Eldritch Invasion	Shenzhen Solitaire

Check out more Solitaire games here.

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.