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Surface Area and Volume Formulas


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Pyramid Surface Area and Volume Formulas


Todd Helmenstine
A pyramid is a solid figure with a polygonal base and triangular faces that meet at a common point over the center of the base.
The height ( h ) is the distance from the base to the apex or top of the pyramid.
The side length ( s ) is the height of the face triangles.
The perimeter ( P ) and the area ( A ) of the base is calculated according to the shape of the base.

Surface Area = ( ½ x P x s ) + A
Volume = 1/3 Ah

The figure shows a pyramid with a square base ( a = b ) with equalateral triangles for faces.

Surface area = a2 + √3( a2 )
Volume = √5(a3/6)

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