Pentagonal Prism Surface Area Calculator

Compute the surface area of a 5-sided regular pentagonal prism from side length ($a$) and height ($H$). Features breakdown of base area and 5 lateral faces.

Cross-Section

Prism Geometry Profile

Unit:

Select Solid Shape

Rectangular Cube Triangular Trapezoidal Hexagonal Pentagonal

Pentagon Side (a)cm

Prism Height (H)cm

Fabrication Scrap & Buffer (+%)+10% Buffer: --

Step-by-Step Surface Area Derivation

Interactive 3D Pentagonal Model7 Faces Highlighted

Total Surface Area

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

--

cm²

Two Pentagonal Bases

2B

--

cm²

Five Side Wall Faces

S_{\text{lat}} = 5aH

--

cm²

Single Base Area (B)

--

cm²

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

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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.

B = \frac{V}{H}

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Base Area Calculator

Cross-sectional polygonal area forward & inverse solver.