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Free volume of triangular prism calculator & total surface area of triangular prism calculator. Calculate right triangular prism volume, height, surface area & lateral area. Our calculator supports both base-height method and Heron's formula for any triangle type, providing detailed step-by-step solutions for educational understanding and practical applications in engineering and architecture.
Last updated: February 2, 2026
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Volume formula
V = Base Area × Height
Most common calculation for 3D triangular prisms
Surface area formula
SA = 2 × Base Area + Lateral Area
Includes both triangular bases and rectangular sides
Right triangle base
Area = ½ × base × height
Simplified calculations with perpendicular sides
Height from volume
Height = Volume ÷ Base Area
Rearrange volume formula to solve for height
Lateral area formula
LSA = Perimeter × Height
Excludes the triangular bases
Same as prism volume
V = ½ × base × height × length
Alternative terminology for triangular prism volume
For triangle base 6 cm, height 8 cm, prism height 10 cm:
Volume = 240.0 cm³
Our triangular prism calculator uses advanced geometric algorithms to compute volume, surface area, and comprehensive properties of triangular prisms. The calculator supports two primary methods: base-height calculation for right triangles and Heron's formula for any triangle type, providing detailed mathematical analysis and step-by-step solutions for educational and professional applications.
Triangle Area = ½ × base × heightArea = √[s(s-a)(s-b)(s-c)], where s = (a+b+c)/2Volume = Triangle Area × Height, Surface = 2 × Triangle Area + Lateral AreaShows triangular base, height, and 3D prism structure with measurements
Triangular prisms are fundamental 3D geometric shapes characterized by two parallel triangular bases connected by rectangular lateral faces. The volume calculation extends the 2D triangle area into 3D space by multiplication with height. Heron's formula, dating back to ancient Greece, provides a method to calculate triangle area using only side lengths, making it invaluable when height measurements are unavailable.
Need help with other 3D shapes? Check out our cylinder calculator and rectangular prism calculator.
Get Custom Calculator for Your BusinessResult: Volume = 240.0 cm³, Total Surface Area = 288.0 cm²
This right triangular prism has a triangle area of 24.0 cm² and forms a right triangle base.
Given: Volume = 240 cm³, Base Area = 24 cm²
Height = 240 ÷ 24 = 10 cm
Given: Perimeter = 24 cm, Height = 10 cm
LSA = 24 × 10 = 240 cm²
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