Online Prism Calculator

Trapezoidal Prism Surface Area Calculator

Compute the total exterior surface area of a trapezoidal prism or trough solid from top base ($a$), bottom base ($b$), trapezoid height ($h_t$), and length ($H$).

Cross-Section

Prism Geometry Profile

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

Step-by-Step Surface Area Derivation

Interactive 3D Trapezoidal Model6 Faces Highlighted
Total Surface AreaS=2B+SlatS = 2B + S_{\text{lat}}
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cm²
Two Trapezoidal Bases2B2B
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cm²
Four Lateral Wall FacesSlat=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.

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

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

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.