Surface Area of a Square Pyramid
The term “surface” refers to “the exterior part of an object or a body”. “Surface area” means the total region occupied by the surfaces of a three-dimensional object. Hence, the total surface area of a square pyramid is the sum of the areas of its lateral faces and its base area. A pyramid has two kinds of surface areas: the lateral surface area and the total surface area. The lateral surface area of a pyramid is the area occupied by its lateral surfaces or side faces.
Lateral surface area of a square pyramid
The lateral surface area of a pyramid is the area occupied by its lateral surfaces or side faces. The formula for calculating the lateral surface area of a square pyramid using slant height is given as follows,
Lateral surface area (LSA) = ½ × perimeter × slant height
We know that,
The perimeter of a square = 4s
So, LSA = ½ × 4s × l = 2sl
Lateral surface area of a square pyramid (LSA) = 2sl square units
Where,
“s” is the base length of a square pyramid,
“l” is the slant height or height of each side face.
The 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,
Lateral surface area of a square pyramid = 2s√(s2/4 + h2) 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.
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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