Online Prism Calculator

Trapezoidal Prism Volume Calculator

Calculate the cubic volume and capacity of a trapezoidal solid or trough given top base ($a$), bottom base ($b$), base height ($h_t$), and length ($L$).

Base Geometry Selection

Select Prism Solid Type

RectangularCubeTriangularTrapezoidalHexagonalPentagonal

Step-by-Step Volume Derivation

3D Volumetric Capacity ModelLiquid Level 70%
Primary Volume (V = B × L)
--
cm³
Base Area Component (B)
--
cm²
Equivalent Liquid & Space Capacities
Liters:-- L
Milliliters:-- mL
US Gallons:-- gal
Cubic Feet:-- ft³
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.