Surface Area of a Hexagonal Prism

Total area that is covered by the surfaces of a hexagonal prism is referred to as its surface area. The surface area of a prism is measured in terms of square units such as sq. m, sq. cm, sq. in, etc.

A hexagonal prism has two types of areas just like other three-dimensional shapes: lateral surface area (LSA) and total surface area (TSA).

Let us consider a hexagonal prism that has an apothem length “a”, a base length “s”, and a height “h”. We know that the general formula to calculate the lateral surface area of a prism is the product of its base and height. So, the lateral surface area of the prism of a hexagonal prism is determined by calculating the product of the perimeter of the base of the hexagonal prism and its height.

The formula to determine the lateral surface area of the hexagonal prism is equal to the sum of the areas of its six rectangular faces. Thus, 

Lateral Surface Area of Hexagonal Prism (LSA) = 6sh sq. units.

where,

• “s” is Length of Base Edge
• “h” is Height of Prism

The formula to determine the surface area of a hexagonal prism is given as follows:

Total Surface Area, TSA = 2×(Area of hexagonal base) + 6×(Area of rectangular faces) = 6s(a + h).

Total Surface Area of Hexagonal Prism (TSA) = 6s(a + h) sq. units.

where:

• “a” is Apothem Length
• “s” is Length of Base Edge
• “h” is Height of Prism

The formula to determine the surface area of a hexagonal prism in the case of a regular hexagonal prism, TSA = 6sh + 3√3s².

Total Surface Area of Hexagonal Prism (TSA) = 6sh + 3√3s² sq. units.

where:

• “s” is Length of Base Edge
• “h” is Height of Prism

A hexagonal prism is a three-dimensional geometric structure with two hexagonal bases connected by six rectangular faces. It is a polyhedron with eight faces, twelve vertices, and eighteen edges.

In this, article we have covered the definition of a Hexagonal prism, its definition, formulas and others in detail.