Hexagonal Prism Volume Calculator

Hexagonal Prism: how to find the surface area and volume when one side length is given, and how to find the surface area and side length when the volume is given.

Hexagonal Prism Calculation Method

Hexagonal Prism: calculate the volume and surface area from the side length.

Formula for the volume

Hexagonal Prismformula for the area

The side length (a) of Hexagonal Prism is 0 .

The volume (V) of Hexagonal Prism is 0 .

The area (S) of Hexagonal Prism is 0 .

The height (h) of Hexagonal Prism is 0 .

About This Calculator

A regular hexagonal prism has two regular-hexagon ends joined by six rectangular faces. Hexagons pack without waste, so this shape appears in honeycombs, nuts and bolts and many architectural columns.

Enter the base edge length and the prism height to calculate the volume and surface area.

A regular hexagonal prism pairs a base area of (3√3/2)a² with height h. For a = 4 and h = 10 the base is 41.569, the volume 415.69 and the total surface area 396.55. Honeycomb cells take this shape because the hexagon tiles the plane using the least wax per unit of stored volume.

Key Formula:V = (3√3 / 2)a² × h · Surface area = 3√3 a² + 6ah

Frequently Asked Questions

Why do bees build hexagonal cells?

A regular hexagon is the most efficient way to partition a surface into equal areas with the least perimeter, so bees use the smallest amount of wax to store the greatest amount of honey.

How do I find the area of a regular hexagon?

Use A = (3√3 / 2) × a², where a is the side length. For a hexagon with a 2 cm side, the area is about 10.39 cm².

Why is the hexagonal base area (3√3/2)a²?

A regular hexagon splits into six equilateral triangles of side a, each with area (√3/4)a². Multiplying by six combines the constants into 3√3/2 ≈ 2.598.

How do I find the longest interior diagonal?

It runs from a base vertex to the opposite vertex on the other base, so its square is the squared base diameter plus h². For a = 4 and h = 10 that is √(64 + 100) = 12.806.

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Sources & last update

2026-10-19