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Key Formulas of Solid Geometry

Source: 互联网    2012-03-03  我要投稿   论坛   Favorite  

  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.


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