Online Prism Calculator

Rectangular Prism Volume Calculator

Compute the exact cubic capacity ($V = l \times w \times h$) of any rectangular cuboid solid. Includes live 3D liquid simulation, step-by-step breakdown, and fluid capacity conversions into Liters, Gallons, and cubic units.

Base Geometry Selection

Select Prism Solid Type

RectangularCubeTriangularTrapezoidalHexagonalPentagonal

Step-by-Step Volume Derivation

3D Volumetric Capacity ModelLiquid Level 70%
Primary Volume (V = B × H)
--
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.

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
4-Sided Prism→

Trapezoidal Prism Calculator

Compute volume and surface area for standard and isosceles trapezoidal troughs and prisms.

V=a+b2htLV = \frac{a + b}{2} h_t L
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.