Online Prismenrechner
Online Prismenrechner

Online Prismenrechner - Formulas

Kostenloser Online-Prismenrechner zur Berechnung des Volumens eines Prismas, der Oberfläche eines Quaders, des Volumens eines dreieckigen Prismas, der Mantelfläche und Diagonalen mit Live-3D-Modellen.

Formula:V=B⋅hV = B \cdot h

Master Prism Formulas Matrix

Euclidean geometry formulations for volume, surface area, lateral boundary, and 3D diagonals across all polygonal solids.

Rectangular Prism (Cuboid)

Volume: V=l⋅w⋅hV = l \cdot w \cdot h
Surface Area: S=2(lw+lh+wh)S = 2(lw + lh + wh)
Lateral Area: Slat=2(l+w)hS_{\text{lat}} = 2(l + w)h
Space Diagonal: d=l2+w2+h2d = \sqrt{l^2 + w^2 + h^2}

Cubic Prism (Cube)

Volume: V=a3V = a^3
Surface Area: S=6a2S = 6a^2
Lateral Area: Slat=4a2S_{\text{lat}} = 4a^2
Space Diagonal: d=a3d = a\sqrt{3}

Triangular Prism

Volume: V=12bhbHV = \frac{1}{2} b h_b H
Base Area: B=12bhbB = \frac{1}{2} b h_b
Surface Area: S=2B+(a+b+c)HS = 2B + (a + b + c)H
Heron's Formula: B=s(s−a)(s−b)(s−c)B = \sqrt{s(s-a)(s-b)(s-c)}

Hexagonal Prism

Volume: V=332a2HV = \frac{3\sqrt{3}}{2} a^2 H
Base Area: B=332a2B = \frac{3\sqrt{3}}{2} a^2
Surface Area: S=33a2+6aHS = 3\sqrt{3} a^2 + 6aH
Apothem: r=32ar = \frac{\sqrt{3}}{2} a
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.