Math

Hexagonal Pyramid Calculator

Find the volume and surface area of a regular hexagonal pyramid.

Calculated Output

Volume 46.765

Surface area 82.228

Formula: base area = (3√3/2)a²; V = ⅓·baseArea·h

Step-by-Step Breakdown

1. Values used:

2. Base edge = 3

3. Height = 6

5. Volume = 46.765

6. Surface area = 82.228

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The math behind it

Base area is (3√3/2)a². Volume = ⅓·baseArea·h. Surface adds the base to the six faces using slant height √(h² + apothem²).

Base edge 3, height 6 → volume ≈ 46.77.

What is the apothem?

The distance from the centre to the middle of a side, (√3/2)a for a hexagon.