**Surface Area**

The total area of the exterior surface of a solid. Many formulas for the area of a surface are given below.

For the following tables, | ||

h = height of solid | s = slant height | P = perimeter or circumference of the base |

l = length of solid | B = area of the base | r = radius of sphere |

w = width of solid | R = radius of the base | a = length of an edge |

Figure | Volume | Lateral Surface Area | Area of the Base(s) | Total Surface Area |

Box (also called rectangular parallelepiped, right rectangular prism) | lwh | lh + 2wh | 2lw | lw + 2lh + 2wh |

Prism | Bh | Ph | 2B | Ph + 2B |

Pyramid | - | B | - | |

Right Pyramid | B | |||

Cylinder | Bh | - | 2B | - |

Right Cylinder | Bh | Ph | 2B | Ph + 2B |

Right Circular Cylinder | πR^{2}h | 2πRh | 2πR^{2} | Rh + 2πR^{2} |

Cone | - | B | - | |

Right Circular Cone | πRs or | πR^{2} | Rs + πR^{2} |

Figure | Volume | Total Surface Area |

Sphere | ||

RegularTetrahedron | ||

Cube (regular hexahedron) | a^{3} | 6a^{2} |

RegularOctahedron | ||

RegularDodecahedron | ||

RegularIcosahedron |

For the tables above, | ||

h = height of solid | s = slant height | P = perimeter or circumference of the base |

l = length of solid | B = area of the base | r = radius of sphere |

w = width of solid | R = radius of the base | a = length of an edge |

**See also**

Lateral surface, right prism, right regular pyramid, frustum of a cone or pyramid, torus, surface area of a surface of revolution

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