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Surface Area of Triangular Prism Calculator

Triangular Prism Surface Area Calculator

Do you need a quick and accurate way to calculate the surface area of a triangular prism? Our Triangular Prism Surface Area Calculator makes the process simple. Just enter the three sides of the triangular base and the height of the prism, and the calculator instantly provides the total surface area. Whether you’re a student solving geometry problems, a teacher preparing lessons, or an engineer designing prism-based structures, this tool saves time and guarantees precision.

📏 What is a Triangular Prism?

A triangular prism is a three-dimensional solid that has two triangular bases connected by three rectangular faces. It is a common 3D shape found in both mathematics and real-world applications such as tents, bridges, aquariums, and glass structures.
The surface area of a triangular prism is the sum of:
• The lateral surface area (sum of the three rectangles)
• The areas of the two triangular bases

👉 Formula:
Surface Area = (Perimeter of Base × Height) + (2 × Area of Base)
Where:
a, b, c = sides of the triangular base
h = height (length of prism)
Area of Base = √[s(s – a)(s – b)(s – c)], with s = (a + b + c)/2

⚖️ How Does the Triangular Prism Surface Area Calculator Work?

  • Enter Side 1 (a), Side 2 (b), and Side 3 (c) of the triangle.
  • Enter the Height (h) of the prism.
  • The calculator finds the area of the base triangle using Heron’s formula.
  • It then computes the perimeter of the base (a + b + c).
  • Finally, it applies the formula: Surface Area = (Perimeter × Height) + (2 × Area of Base).
  • The total surface area is displayed instantly.

📚 Examples of Triangular Prism Surface Area Calculations

Example 1:

a = 3 cm, b = 4 cm, c = 5 cm, h = 10 cm

Surface Area = 132 cm²

Example 2:

a = 5 cm, b = 6 cm, c = 7 cm, h = 12 cm

Surface Area = 232.98 cm²

Example 3:

a = 8 cm, b = 10 cm, c = 12 cm, h = 15 cm

Surface Area = 529.37 cm²

Example 4:

a = 6 cm, b = 6 cm, c = 6 cm, h = 20 cm (Equilateral Base)

Surface Area = 391.18 cm²

Example 5:

a = 7 cm, b = 9 cm, c = 11 cm, h = 25 cm

Surface Area = 737.84 cm²

✨ Features of Our Triangular Prism Surface Area Calculator

✅ Uses the correct TSA formula (Perimeter × Height) + (2 × Base Area)
✅ Works with any type of triangular base — scalene, isosceles, or equilateral
✅ Accurate results in seconds
✅ User-friendly interface with clear inputs
✅ Works on desktop and mobile devices
✅ Free to use, no sign-up required
✅ Perfect for education, engineering, and real-world applications

👩‍💼 Who Should Use This Calculator?

Students & Teachers – For solving geometry problems and assignments
Architects & Engineers – For designing prism-based structures
Construction Professionals – For estimating material surfaces
Researchers & Mathematicians – For accurate geometric modeling
DIY Enthusiasts – For projects involving triangular prism models

💡 Why Use an Online Triangular Prism Surface Area Calculator?

Manual calculations require multiple steps finding perimeter, applying Heron’s formula, and then adding everything up. Errors are common.
Our Triangular Prism Surface Area Calculator does the work instantly, saving time and ensuring 100% accuracy.

🌍 Practical Applications

Mathematics & Education: Teaching 3D geometry concepts
Architecture & Design: Modeling triangular prism shapes in real projects
Construction & Engineering: Material planning for prism-shaped structures
Science & Research: Surface modeling for triangular prisms
Everyday Learning: Understanding real-world prism-shaped objects like tents and bridges

✅ The Triangular Prism Surface Area Calculator is the perfect tool for quick, accurate, and reliable geometry calculations.

👉 Try our Triangular Prism Surface Area Calculator today on Hive Calculator and simplify your geometry work in seconds.