Triangular Prism Calculator

Compute the volume, lateral surface area, base area, and total surface area of any triangular prism using either standard base and height, an equilateral triangle base, or all three side lengths via Heron's theorem.

Input Variable

Solve Triangular Prism by Any Known Value

Unit:

Base Method

Base Edge (b)cm

Triangle Height (h_b)cm

Prism Length (H)cm

Step-by-Step Mathematical Derivations

Interactive 3D Triangular PrismWebGL Orbit Controls

Volume

V = B \cdot H

--

cm³

Total Surface Area

S = 2B + S_{\text{lat}}

--

cm²

Lateral Surface Area

S_{\text{lat}}

--

cm²

Base Area

B

--

cm²

Base Perimeter

P

--

cm

Explore Geometry Tools

Solvers by Prism Solid

Select a 3D prism shape to calculate volume, surface area, and step-by-step formulas.

Cuboid→

Rectangular Prism Calculator

Solve for volume, surface area, diagonal, and missing dimensions with 3-variable solver.

V = l \cdot w \cdot h

Regular Hexahedron→

Cubic Prism Calculator

Calculate cubic prism edge, volume, total area, and space diagonal given any single parameter.

V = a^3, \; S = 6a^2

4-Sided Prism→

Trapezoidal Prism Calculator

Compute volume and surface area for standard and isosceles trapezoidal troughs and prisms.

V = \frac{a + b}{2} h_t L

Specialized Metrics

Calculate by Geometric Property

Solve directly for a specific property across multiple prism types simultaneously.

V = B \cdot H

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Volume Calculator

Compute capacity & liquid volumes across 6 solid prisms.

S = 2B + S_{\text{lat}}

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Surface Area Calculator

Total outer surface with 2D net and scrap margin estimation.

S_{\text{lat}} = P \cdot H

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Lateral Area Calculator

Wall & sides surface area excluding top/bottom bases.

B = \frac{V}{H}

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Base Area Calculator

Cross-sectional polygonal area forward & inverse solver.