Online Prism Calculator

Trapezoidal Prism Calculator

Determine the volume, surface area, and perimeter of any right trapezoidal prism or trough (also referred to as a trapezium prism in British and Commonwealth English). Essential for calculating gravel embankments, drainage channels, concrete footings, and hopper capacities.

Input Variable

Solve Trapezoidal Prism by Any Known Value

Material Mass EstimatorMass: --

Step-by-Step Mathematical Proofs

Interactive 3D Trapezoidal PrismWebGL Orbit Controls
VolumeV=B⋅LV = B \cdot L
--
cm³
Total Surface AreaS=2B+SlatS = 2B + S_{\text{lat}}
--
cm²
Lateral AreaSlatS_{\text{lat}}
--
cm²
Base AreaBB
--
cm²
Base PerimeterPP
--
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⋅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.