The ** lateral ** surface ar area ** the a regular ** pyramid is the sum of the locations of the lateral faces. The ** total surface area the a constant pyramid ** is the sum of the areas of the lateral faces and also its base.

**lateral surface area**the a consistent pyramid is l . S . A . = 1 2 p together wherein ns to represent the perimeter that the base and together the slant height.

**instance 1:**

find the lateral surface area of a constant pyramid v a triangular basic if every edge of the base measures 8 inches and also the slant height is 5 inches.

The perimeter the the base is the amount of the sides.

ns = 3 ( 8 ) = 24 inches

together . S . A . = 1 2 ( 24 ) ( 5 ) = 60 customs 2

The basic formula for the ** total surface area ** the a continuous pyramid is T . S . A . = 1 2 ns l + B whereby ns to represent the perimeter that the base, together the slant height and also B the area of the base.

** example 2: **

find the full surface area of a regular pyramid through a square basic if every edge the the base procedures 16 inches, the slant height of a next is 17 inches and also the altitude is 15 inches.

The perimeter of the base is 4 s since it is a square.

p = 4 ( 16 ) = 64 customs

The area the the basic is s 2 .

B = 16 2 = 256 inches 2

T . S . A . = 1 2 ( 64 ) ( 17 ) + 256 = 544 + 256 = 800 inch 2

there is no formula for a surface ar area that a non-regular pyramid since slant height is no defined. To uncover the area, uncover the area of every face and also the area of the base and add them.

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