Geometry

Area Formulas

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Area of a Prism

The lateral area L (area of the vertical sides only) of any right prism is equal to the perimeter of the base times the height of the prism (L = Ph).

The total area T of any right prism is equal to two times the area of the base plus the lateral area.

Formula: T = 2B + Ph




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Area Of a Pyramin

The area L of any regular pyramid with a base that has perimeter P and with slant height l is equal to one-half the product of the perimeter and the slant height.



Formula: L = .5Pl

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Area of a Cylinder

For any right circular cylinder with radius r and height h, the total area T is two times the area of the base plus the lateral area (2(PI)rh).

Formula: T = 2(PI)rh + 2(PI)r2

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Cone Area Theorem

The total area T of a cone with radius r and slant height l is equal to the area of the base plus PI times the product of the radius and the slant height.

Formula: T = (PI)rl + (PI)r2

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Area of a Sphere

The area A of any sphere with radius r is equal to 4(PI) times the square of the radius.

Area Formula: A = 4(PI)r2

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