Geometry

Area Formulas

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

 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 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 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 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