Prism Base Area Calculator

Compute the two-dimensional surface area (B) of a prism's parallel end faces either directly from polygonal base dimensions or inversely by dividing internal volume by perpendicular height.

Calculation Approach

Base Solving Mode

Unit:

Solving Method

Base Polygon Type

Rectangular Cube Triangular Trapezoidal Hexagonal Pentagonal

Base Length (l)cm

Base Width (w)cm

Step-by-Step Base Area Derivation

Interactive 3D Base Area ModelHighlighted Base Caps

Calculated Base Area

B

--

cm²

Combined Both Bases

2B

--

cm²

Base Polygon Perimeter

P

--

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 \cdot w \cdot h

Regular Hexahedron→

Cubic Prism Calculator

Calculate cubic prism edge, volume, total area, and space diagonal given any single parameter.

V = 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 = \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 \cdot H

→

Volume Calculator

Compute capacity & liquid volumes across 6 solid prisms.

S = 2B + S_{\text{lat}}

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Surface Area Calculator

Total outer surface with 2D net and scrap margin estimation.

S_{\text{lat}} = P \cdot H

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Lateral Area Calculator

Wall & sides surface area excluding top/bottom bases.

P = \sum e_i

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Perimeter & Skeletal Frame

Base perimeter, total 3D edge length, and Euler check.