# Hexagonal Pyramid Surface Area Calculator

Table of contents

What is a hexagonal based pyramid?How do I find the surface area of a hexagonal pyramid?How do I calculate the lateral area of a hexagonal pyramid?How do I calculate the base area of hexagonal pyramid?How do I find the face area of a hexagonal pyramid?How to use the hexagonal pyramid surface area calculatorOther pyramid related calculatorsFAQsIn this **hexagonal pyramid surface area calculator**, we help you find the surface area, the lateral area, and the base area of your hexagon-based pyramid.

We also guide you on how to find the surface area of a hexagonal pyramid by hand and show you the formula for the surface area of a regular hexagonal pyramid. Keep reading!

## What is a hexagonal based pyramid?

The hexagonal pyramid is a **hexagon-based pyramid**. Its base has **6 edges** and hence, **six isosceles (in some cases, equilateral) triangular faces**.

**Altitude or height (**The distance between the center of the hexagonal base and the common vertex.*h*):**Base edge or base length (**The length of the base's side.*a*):**Slant height (**The altitude or the distance between the midpoint of the base edge and the vertex.*l*):**Apothem (**The distance between the midpoint of the base edge and the center of the hexagonal base.*a*):_{p}

🙋 In Greek, * hexa* denotes the number

**6**and

*means*

**gon****corner**. Thus,

**hexagon is a shape having six corners!**

## How do I find the surface area of a hexagonal pyramid?

The total surface area of a hexagonal pyramid (SA) is the **sum of the area of its hexagonal base (BA) and the areas of its six triangular faces (FA):**

`SA = BA + (6 × FA)`

The formula for the surface area of a regular hexagonal pyramid **using base edge ( a) and height (h)** is:

## How do I calculate the lateral area of a hexagonal pyramid?

The lateral surface area (LSA) of a hexagonal pyramid is the **sum of the areas of its 6 triangular faces**. We calculate a hexagonal-based pyramid using the formula:

## How do I calculate the base area of hexagonal pyramid?

A hexagonal pyramid has a hexagonal base. Therefore, the base area of the hexagonal pyramid is **half of the product of its base perimeter ( P) and apothem (a_{p})**:

**BA = a**_{p}×P/2

In terms of the **base edge** of the pyramid or the **length of the hexagon's side ( a)**, the base area is:

💡 The **base area** of a hexagonal pyramid is **2.598 times the square of its base length ( a)**.

*To learn more about the measurements related to hexagons like apothem and radius, you can use our hexagon calculator.*

## How do I find the face area of a hexagonal pyramid?

The face area of a hexagonal pyramid is the **area of one of its six triangular faces**.

**In terms of the height (h) and base edge (a)** of the pyramid, we calculate the pyramid's face area as:

## How to use the hexagonal pyramid surface area calculator

⚠️ *We use base edge or base length and height of the pyramid to estimate the areas in this surface area of a regular hexagonal pyramid calculator.*

To find the surface area of a hexagonal pyramid using our tool:

**Choose**the desired units from the drop-down list for each variable. For example, base length and height of a hexagonal pyramid are 5 cm each. Select cm for lengths and cm^{2}for areas.**Enter**the base length in the input box for`Base edge (a)`

- 5 cm.**Enter**the height of the pyramid in the input box for`Height (h)`

- 5 cm.- Our hexagonal pyramid surface area calculator displays the following measurements immediately:
- Slant height (l) - 6.61 cm;
- Base perimeter (P) - 30 cm;
- Total surface area (SA) - 164.17 cm
^{2}; - Base area (BA) - 64.95 cm
^{2}; and - Lateral surface area (LSA) - 99.22 cm
^{2}.

And that's it! Our right hexagonal pyramid calc finds A (surface area) in no time.

### How do I calculate the surface area of hexagonal pyramids using slant height?

You can calculate the surface area (SA) of a hexagonal pyramid with slant height (l) using the formula:

**SA = 3×a _{p}×a + 3×a×l**

where *a _{p}* is the apothem of the pyramid and

*a*is the base, and

*l*is the slant height of the pyramid.

### How do I find the base area of a pyramid with side of length 4cm?

The given pyramid has an area of **41.568 cm ^{2}** if you consider the hexagon-based pyramid. The base area (BA) of a hexagonal pyramid is

**2.598 times the square of its base length (a)**:

**BA = 2.598 × a ^{2}**