Surface area of a Triangular pyramid

The surface area of a triangular pyramid has two formulas, i.e. lateral surface area and total surface area. Let’s learn about both the formulae in more detail,

Formula for Lateral surface area of a triangular pyramid 

It is calculated by adding the area of triangular faces with no base, i.e., by subtracting the base area from the total surface area. It is equal to half the product of perimeter and slant height.

L = 3/2 (b × l)

Where,

b is the side of triangular base,

l is the slant height of pyramid.

Formula for Total surface area of a triangular pyramid

It is computed by adding the area of all triangular faces of the pyramid. Its formula is equal to the sum of the base area and half the product of perimeter and slant height. It is the sum of the base area and lateral surface area of the pyramid.

A = 1/2 (b × h) + 3/2 (b × l)

Where,

b is the side of triangular base,

h is the height of triangular base,

l is the slant height of pyramid.

A triangular pyramid is a three-dimensional shape with four triangular faces. To calculate the surface area of a triangular pyramid, we need to find the area of each triangular face and summing them up. This process can be straightforward if you know the dimensions of the triangles involved. In simple words, A solid with a triangular base such that the triangles have a common vertex on all three lateral sides is called a triangular pyramid.

It can be interpreted as a tetrahedron with equilateral triangles on all four faces. It is a three-dimensional object with a triangle base and four triangular faces, three of which meet at one vertex. The base of a right triangular pyramid is a right-angled triangle, while the rest of the faces are isosceles triangles.

Let’s know more about Surface Area of a Triangular Pyramid with formula and derivation in detailed below.