Answer :
The lateral surface area of a regular pyramid is the sum of the areas of its lateral faces. The total surface area of a regular pyramid is the sum of the areas of its lateral faces and its base. The general formula for the lateral surface area of a regular pyramid is where p represents the perimeter of the base and l the slant height. Example 1:Find the lateral surface area of a regular pyramid with a triangular base if each edge of the base measures 8 inches and the slant height is 5 inches.The perimeter of the base is the sum of the sides.p = 3(8) = 24 inchesThe general formula for the total surface area of a regular pyramid is where p represents the perimeter of the base, l the slant height and B the area of the base. Example 2:Find the total surface area of a regular pyramid with a square base if each edge of the base measures 16 inches, the slant height of a side is 17 inches and the altitude is 15 inches.The perimeter of the base is 4s since it is a square.p = 4(16) = 64 inches The area of the base is s2.B = 162 = 256 inches2T. S. A. = There is no formula for a surface area of a non-regular pyramid since slant height is not defined. To find the area, find the area of each face and the area of the base and add them.
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The surface area of the pyramid is calculated by the formula B +(1/2) *P*L.
What is a Regular Pyramid?
A regular pyramid is a three dimensional structure with a regular polygon base and all the lateral surfaces are equal.
The surface area of a Regular Pyramid is the sum of the area of the base and the area of the lateral surface.
Surface area of Pyramid = Area of base + Lateral surface area of the sides
Surface area of Regular Pyramid = B +(1/2) *P*L
Here P is the perimeter of the base and L is the slant height, B is the area of the base.
Therefore, the surface area of the pyramid is calculated by the formula B +(1/2) *P*L.
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