# Volume of a Hexagonal Pyramid Calculator

With the volume of a hexagonal pyramid calculator, you can **find the volume of a hexagon-based pyramid** using:

- the height (altitude) and base edge;
- the height and slant height;
- the slant height and base perimeter;
- the slant height and base edge; etc.

Excited? Let's quickly learn how to find the volume of a hexagon-based pyramid and try the calculator!

## What is a hexagonal pyramid?

**A hexagonal pyramid is a three-dimensional object with a hexagon-shaped (6 sides) base and six triangular faces originating from each side to a common vertex.**

- The distance between the center of the hexagonal base and the common vertex is the
**altitude or height (**of the pyramid.*h*) - The length of the base's side is the
**base edge or base length (**of the pyramid.*a*) - The distance between the midpoint of the base edge and the vertex is the
**slant height (**of the pyramid.*l*) - The distance between the midpoint of the base edge and the center of the hexagonal base is the pyramid's
**apothem (**.*a*)_{p}

## How do I calculate the volume of a hexagon-based pyramid?

We calculate the volume of a regular hexagonal pyramid using the formula:

**V = (√3/2) a**^{2}h

where

**V**is the volume of the hexagon-based pyramid;**a**is the length of the base edge; and**h**is the height of the pyramid.

## How do I use the volume of a hexagonal pyramid calculator?

❓ What is the volume of a regular hexagonal pyramid that has a base perimeter of 12 cm and an altitude of 15 cm?

We need to find the volume using the base perimeter and altitude of the pyramid. To do this:

**Check**if the variables on the volume of a hexagonal pyramid calculator have our desired units. If they don't show our desired units, select the unit from the drop-down list in their row. The default unit is centimeter (cm) and cubic centimeter (cm^{3}). In our example problem, we know the base perimeter and the altitude in centimeters (cm), so we don't have to change their default units in the calculator.**Enter 12**in the input box for`Base perimeter (P)`

.**Enter 15**in the input box for`Height (h)`

.

That's all you have to do! The volume of a hexagonal pyramid calculator will give you the following results:

- Base edge (a) - 2 cm;
- Slant height (l) - 15.1 cm;
- Apothem (a
_{p}) - 1.732 cm; and - Volume (V) -
**51.96 cm**.^{3}

## Volume calculators for various three-dimensional objects

- Cone
- Cylinder
- Prisms
- Hexagonal prism
- Rectangular prism
- Cube
- Square prism

- Triangular prism

- Pyramids
- Sphere
- Torus

*Would you like to see more 3D volume calculators? Please write to us. You will also love our surface area calculator* 🙂

## FAQ

### What is the formula for a hexagonal pyramid's volume using apothem and height?

If the base edge is unknown, we can calculate the volume of a regular hexagonal pyramid from apothem (a_{p}) and height (h) using the formula **V = (2/√3) × a _{p}^{2} × h** or

**V = 1.1547 × a**.

_{p}^{2}× h### How do I find the volume of a hexagonal pyramid using apothem and base-edge?

If we know the apothem, base edge, and height of a hexagonal pyramid, we use the following formula to calculate its volume:

**V = a**_{p}× a × h

where,

**a**is the apothem of the hexagonal pyramid;_{p}**a**is the length of the base edge; and**h**is the height or altitude of the pyramid.

### How do I estimate the volume of any pyramid?

For a pyramid with a regular base,

**V = (n/12) × h × a**^{2}× cot(π/n)

where

**V**is the volume of the pyramid;**n**is the number of sides of its base;**h**is the height of the pyramid; and**a**is the length of the base edge.

### What is the height of a hexagonal pyramid of volume 810 and base edge 9 units?

The height of the hexagonal pyramid is **11.55 units**. The volume (V) of a hexagonal pyramid of base edge (a) and height (h) is:

**V = (√3/2) a**^{2}h

Thus, the height is

**h = 2V/(√3 a**^{2})