Online Prism Calculator

Lateral Surface Area Calculator

Compute the total surface area of the vertical lateral side walls of any prism, excluding the two end bases. Essential for box sleeve packaging, architectural column painting, duct wrap, and tank lining.

Wall Geometry

Select Base Cross-Section

RectangularCubeTriangularTrapezoidalHexagonalPentagonal

Step-by-Step Lateral Area Derivation

Interactive 3D Lateral Area ModelExcludes Top & Bottom
Lateral AreaSlat=P⋅HS_{\text{lat}} = P \cdot H
--
cm²
Base Boundary Perimeter (P)
--
cm
Number of Lateral Side Faces
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faces
Average Area per Side Panel
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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.

S=2B+SlatS = 2B + S_{\text{lat}}→
Surface Area Calculator

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

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.