Total Surface Area (TSA) of Hexagonal Pyramid
Total surface area is the total region occupied by all the surfaces of a regular hexagonal pyramid, i.e., the area occupied by the lateral surfaces, or triangular faces, and also is hexagonal base.
Total Surface Area of a Pyramid (TSA) = Lateral Surface Area of Pyramid + Area of Base
Surface area of the hexagonal pyramid can be calculated when we have the slant height of the pyramid which is the height from the apex to any point on the boundary of the base of the pyramid. Hence, let us see both the formula of the hexagonal pyramid – base area and surface area.
Area of Base = 3as
Where,
- “a” is Apothem Length
- “s” is Side Length of Base
TSA = LSA + Base area
TSA = 3sl + 3as
Hence,
Total Surface Area of Regular Hexagonal Pyramid (TSA) = 3sl + 3as
Where,
- “s” is Side Length of Base
- “l” is Slant Height
- “a” is Apothem Length
When the apothem of the regular hexagonal pyramid is not mentioned and the triangular faces are equilateral, there is another alternative formula to calculate its surface area, i.e.,
Total Surface Area of Hexagonal Pyramid = 3(s × l) + 3√3/2 (s)2
Where,
- “s” is Side Length of Base
- “l” is Slant Height of Pyramid
Area of Hexagonal Base = 3√3/2 (s)2
Regular Hexagonal Pyramid Formula
A hexagonal pyramid is a three-dimensional pyramid that has a hexagonal base along with sides or faces in the shape of isosceles triangles that meet at the apex or the top of the pyramid. A hexagonal pyramid is one of the different types of pyramids, which are classified based on the shape of the base of a pyramid. It is also known as a heptahedron since a hexagonal pyramid consists of 7 faces, which include a hexagonal base and 6 isosceles triangular lateral faces.
Table of Content
- Regular Hexagonal Pyramid
- Regular Hexagonal Pyramid Formula
- Lateral Surface Area (LSA) of Hexagonal Pyramid
- Total Surface Area (TSA) of Hexagonal Pyramid
- Volume of Regular Hexagonal Pyramid
- Practice Problems based on Regular Hexagonal Pyramid