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
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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?

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Surface area of a triangular prism Part 2

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Surface area of a triangular prism

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Triangular Prisms: Given Dimensions

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