The hexagonal pyramid calculator is useful if you are looking to find out the volume and surface area of hexagonal pyramids. A pyramid is a 3D shape that has a polygonal base and an apex point that connects with all the vertices of the base. The lines joining the apex points and the base vertices are called edges. Each face of a pyramid is a triangle, and in the case of a regular pyramid, it is an isosceles triangle.
You can find more information on how to find the surface area of a hexagonal pyramid as well as its volume in the article below.
What is a hexagonal pyramid?
A hexagonal pyramid is a three-dimensional shape that has a hexagonal base and an apex vertex. Each edge joins the vertex of the base to the apex point. In addition to this, it has six isosceles triangles as its faces. It has 12 edges and 7 vertices.
Surface area of a hexagonal pyramid
The surface area of a hexagonal pyramid has two components —
- Lateral surface area, ; and
- Base surface area .
The lateral surface area is the sum of the area of all the lateral faces. A hexagonal pyramid has
6 lateral faces which are in the shape of an isosceles triangle. To find the area of a triangle, you would need:
- Length of the base, ; and
- Height of the triangle, .
The height of the triangular face of a pyramid is also known as the slant height, . Such that the lateral surface area of a hexagonal pyramid is:
Similarly, the base area, is given by the equation:
Volume of a hexagonal pyramid
The volume of a hexagonal pyramid in term of base length and the pyramid height is given by the equation:
Example: Using the hexagonal pyramid calculator
Find the surface area and volume of the hexagonal pyramid having base length
4 mm and height as
To find the volume and surface area of the hexagonal pyramid:
- Enter the base length as
- Insert the height as
- The hexagonal pyramid calculator will return the following areas and volume:
- Face area = ;
- Base area = ;
- Lateral surface area = ;
- Total surface area = ;
- Volume = ;
Other pyramid calculators
Similar to the hexagonal pyramid calculator, there are other tools based on pyramids that you can refer to learn more cool things about this 3-dimensional shape, such as:
How do I find the base area for a hexagonal pyramid?
To find the base area of a hexagonal pyramid:
- Find the square of the base length.
- Divide the square by
- Multiply the resultant by
- Multiply the produce by square root of
3to obtain the base area of the hexagonal pyramid.
What is the surface area of hexagonal pyramid having side length 5 cm and height 7 cm?
The surface area of the hexagonal pyramid is
151.55 sq cm. Out of which, the
123.46 sq. cm is the lateral surface area, which is calculated as:
3 × 5 × √((0.25×25) + 49) = 123.46 sq. cm., while
64.95 sq. cm is the base area.