Hexagonal Pyramid Surface Area Calculator

In 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!

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 (h): The distance between the center of the hexagonal base and the common vertex.
• Base edge or base length (a): The length of the base's side.
• Slant height (l): The altitude or the distance between the midpoint of the base edge and the vertex.
• Apothem (a_p): The distance between the midpoint of the base edge and the center of the hexagonal base.

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:

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:

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:

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

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:

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

1. 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 cm² for areas.
2. Enter the base length in the input box for Base edge (a) - 5 cm.
3. Enter the height of the pyramid in the input box for Height (h) - 5 cm.
4. 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 cm²;
   • Base area (BA) - 64.95 cm²; and
   • Lateral surface area (LSA) - 99.22 cm².

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

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.

The given pyramid has an area of 41.568 cm² 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 × a²

Now when you know how to find surface area of a hexagonal pyramid, be sure to check out our other pyramid calculators:

• Hexagonal pyramid calculator;
• Hexagonal pyramid volume calculator;
• Square pyramid calculator;
• Square pyramid volume calculator; and
• Surface area of a rectangular pyramid calculator.