Online Prismenrechner
Online Prismenrechner

Quaderrechner

Berechnen Sie das Volumen, die Oberfläche, die Mantelfläche und die Raumdiagonale eines Quaders. Live-3D-Modell, schrittweise Beweise.

Formula:V=l⋅w⋅hS=2(lw+lh+wh)V = l \cdot w \cdot h \quad S = 2(lw + lh + wh)
Interactive 3D Engine

Quaderrechner

Input Variable

Solve Rectangular Prism by Any Known Value

Cube special case (l = w = h)
Material & Mass EstimatorMass: --
Calculate weight automatically based on prism volume.

Step-by-Step Algebraic Derivations

Dynamic Scaled
Dimensions automatically scale visuallyAspect 1:1
Calculated QuantitiesPrecision: 4 Decimals
VolumeVV
--
cm³
Total Surface AreaSS
--
cm²
Lateral AreaSlatS_{\text{lat}}
--
cm²
Base AreaBB
--
cm²
Base PerimeterPP
--
cm
Space Diagonaldd
--
cm
View Multi-Unit Conversions▼
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.