Triangular Prism Surface Area Calculator

Last updated: 20 Sep 2025 | Author: Brij | Review By: Irshad

Share on :

Easily calculate the surface area of a triangular prism with our free online calculator. Learn formulas, step-by-step examples, and LaTeX codes for accurate results.

Base of Triangle:

Height of Triangle:

meters

Length of Prism:

meters

Surface Area Calculation Results

Surface Area of Triangular Prism:

m²

Calculation Breakdown

Area of Triangular Bases: 0 m²

Area of Rectangular Faces: 0 m²

Total Base Area (2×): 0 m²

Total Surface Area: 0 m²

A triangular prism is a three-dimensional solid that has two triangular bases and three rectangular faces. Calculating the surface area of a triangular prism is useful in geometry, engineering, and construction projects, where material coverage is important.

This Triangular Prism Surface Area Calculator helps you quickly find the total surface area using simple inputs.

Formula for Triangular Prism Surface Area

The total surface area (TSA) of a triangular prism is calculated as:

$TSA = ( \text{Base Area of Triangle} \times 2 ) + ( \text{Perimeter of Triangle} \times \text{Length of Prism} )$

1. Base Area of Triangle

$\text{Base Area} = \frac{1}{2} \times \text{Base} \times \text{Height}$

2. Perimeter of Triangle

If the sides of the triangle are a, b, and c.

$\text{Perimeter} = a + b + c$

3. Total Surface Area

$TSA = (2 \times \text{Base Area}) + (\text{Perimeter} \times \text{Length})$

Example Calculation

Suppose we have a triangular prism with:

Base of triangle = 6 cm
Height of triangle = 4 cm
Side lengths of triangle = 6 cm, 5 cm, 5 cm
Length of prism = 10 cm

Step 1: Find Base Area

$\text{Base Area} = \frac{1}{2} \times 6 \times 4 = 12 \, cm^2$

Step 2: Find Perimeter

$\text{Perimeter} = 6 + 5 + 5 = 16 \, cm$

Step 3: Find Total Surface Area

$TSA = (2 \times 12) + (16 \times 10) = 24 + 160 = 184 \, cm^2$

Final Answer: The surface area of the triangular prism is 184 cm².

Check out 1 similar Triangular Prism Surface Area Calculator :

Triangular Prism Surface Area Calculator

Help Improve This Calculator

Your suggestions help us make better tools for everyone.