Online Prism Calculator

Prism Surface Area Calculator

Determine the complete exterior surface area of any polygonal prism. Decomposes the geometric skin into two identical parallel bases and the unfolding lateral perimeter walls, complete with material waste buffer estimation.

Cross-Section

Prism Geometry Profile

RectangularCubeTriangularTrapezoidalHexagonalPentagonal
Fabrication Scrap & Buffer (+%)+10% Buffer: --

Step-by-Step Surface Area Derivation

Interactive 3D Surface Area ModelAll Faces Highlighted
Total Surface AreaS=2B+SlatS = 2B + S_{\text{lat}}
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cm²
Two Parallel Bases2B2B
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cm²
Lateral Wall AreaSlat=P⋅HS_{\text{lat}} = P \cdot H
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cm²
Single Base Area (B)
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cm²
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⋅w⋅hV = 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=a3,  S=6a2V = a^3, \; S = 6a^2
3-Sided Prism→

Triangular Prism Calculator

Solve equilateral, right-angled, and scalene prisms via base-height or Heron’s theorem.

V=12bhbHV = \frac{1}{2} b h_b H
Specialized Metrics

Calculate by Geometric Property

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

V=B⋅HV = B \cdot H→
Volume Calculator

Compute capacity & liquid volumes across 6 solid prisms.

Slat=P⋅HS_{\text{lat}} = P \cdot H→
Lateral Area Calculator

Wall & sides surface area excluding top/bottom bases.

B=VHB = \frac{V}{H}→
Base Area Calculator

Cross-sectional polygonal area forward & inverse solver.

P=∑eiP = \sum e_i→
Perimeter & Skeletal Frame

Base perimeter, total 3D edge length, and Euler check.