Key Formulas of Solid Geometry

　　Length of a Diagonal of a Cubed =　= s where s is the length of one edge of the cube.　　Length of a Diagonal of a Rectangular Solidd = , where l is the length, w is the width, and h is the height of the rectangular solid.　　Surface Area of a CubeSurface Area = 6s2, where s is the length of one edge.　 Surface Area of a Rectangular SolidSurface Area = 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height.　　Surface Area of a CylinderSurface Area = 2πr2 + 2πrh, where r is the radius and h is the height.　　Surface Area of a SphereSurface Area = 4πr2, where r is the radius.　　Lateral Surface Area of a ConeLateral Surface Area = πrl, where r is the radius of the base and l is the cone’s lateral height.　　Total Surface Area of a ConeSurface Area = πr2 + πrl, where r is the radius of the base, and l is the cone’s lateral height.　　Volume of a CubeVolume = s3, where s is the length of one edge.　　Volume of a Rectangular SolidVolume = lwh, where l is the length, w is the width, and h is the height.　　Volume of a PrismVolume = Bh, where B is the area of the base, and h is the height.　　Volume of a CylinderVolume = πr2h, where r is the radius of the circular base and h is the cylinder’s height.　　Volume of a ConeVolume = πr2h, where r is the radius and h is the height.　　Volume of a PyramidVolume = Bh, where B is the area of the base and h is the height.　　Volume of a SphereVolume = πr3, where r is the radius.