Total surface area of a square pyramid
The total surface area of a square pyramid is the sum of the areas of its lateral faces and its base area. The formula for calculating the total surface area of a square pyramid is given as follows,
Total surface area of a pyramid (TSA) = Lateral surface area of the pyramid (LSA) + Base area
The lateral surface area of the square pyramid (LSA)= 2sl square units
Base area = s2 square units
So, TSA = 2sl + s2
Total surface area of a square pyramid (TSA) = 2sl + s2 square units
where,
“s” is the base length of a square pyramid,
“l” is the slant height or height of each side face.
Slant height of the pyramid (l) = √(s2/4 + h2)
The formula for calculating the lateral surface area of a square pyramid using the height is given as follows,
Total surface area of a square pyramid (TSA) = 2s√(s2/4 + h2) + s2 square units
where,
“s” is the base length of a square pyramid,
“h” is the height of the square pyramid.
Surface Area of a Square Pyramid
Pyramid is a three-dimensional geometric structure with a polygonal base and triangular faces equal to the number of sides in the base. The triangular faces or lateral surfaces of a pyramid meet at a single point known as the apex or the vertex.
Surface Area of a Square Pyramid
In a pyramid, the base is connected to all the faces of the pyramid. Pyramids are classified into different types, such as triangular pyramids, square pyramids, rectangular pyramids, pentagonal pyramids, hexagonal pyramid, etc., based on the shape of the polygonal base.
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