Triangular Prism Surface Area Calculator
Calculate the surface area of a triangular prism by entering the triangle base, height, and prism length. A triangular prism has triangular bases and rectangular sides.
📐 Triangular Prism Surface Area
Formula
Triangular Prism Surface Area Formulas
Surface Area
Two triangular faces plus three rectangular faces
Triangle Area
Area of each triangular base
Triangle Perimeter
Sum of all three triangle sides
Volume
Triangle area times prism length
Triangular Prism Surface Area Examples
Example 1: Right Triangle Prism
Given: Base = 3 cm, Height = 4 cm, Length = 10 cm
Triangle Area: A = ½ × 3 × 4 = 6 cm²
Hypotenuse: c = √(3² + 4²) = 5 cm
Perimeter: P = 3 + 4 + 5 = 12 cm
Surface Area: SA = 2 × 6 + 12 × 10 = 132 cm²
Example 2: Isosceles Triangle Prism
Given: Base = 6 cm, Height = 4 cm, Length = 8 cm
Triangle Area: A = ½ × 6 × 4 = 12 cm²
Side length: s = √(3² + 4²) = 5 cm
Perimeter: P = 6 + 5 + 5 = 16 cm
Surface Area: SA = 2 × 12 + 16 × 8 = 152 cm²
Example 3: Equilateral Triangle Prism
Given: Side = 6 cm, Length = 12 cm
Height: h = (√3/2) × 6 ≈ 5.196 cm
Triangle Area: A = ½ × 6 × 5.196 ≈ 15.59 cm²
Perimeter: P = 6 + 6 + 6 = 18 cm
Surface Area: SA = 2 × 15.59 + 18 × 12 ≈ 247.18 cm²
Triangular Prism Surface Area FAQ
What is a triangular prism?
A triangular prism is a 3D shape with two parallel triangular bases connected by three rectangular faces. Examples include tent shapes and roof structures.
How do you calculate triangular prism surface area?
Calculate the area of both triangular faces (2 × triangle area) and add the area of the three rectangular faces (perimeter × length).
What if I don't know all triangle sides?
For a right triangle, use the Pythagorean theorem (c = √(a² + b²)). For other triangles, you may need additional measurements or use trigonometry.
How do I find the triangle perimeter?
Add all three sides of the triangle. If you only know base and height, you'll need to calculate the other sides using geometry formulas.