### 2-dimensional geometric shape formulas

Shape | Perimeter | Area | Comments |
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Square | 4 x s | s^{2} | s = side length |

Rectangle | 2 x l + 2 x w | l x w | l = length and w = width |

Equilateral Triangle | 3 x s | ½ s x h | s = side and h = height |

Isosceles Triangle | 2 x s + b | ½ s x h | s = side and h = height and b = base |

Circle | 2πr or πd | πr^{2} | r = radius and d = diameter |

Kite | 2 x ss + 2 x ls | d_{1} x d_{2} | ss = short side length and ls = long side length and d = diagonal length |

Parallelogram | 2 x l + 2 x w | l x w | l = length and w = width |

Trapezoid | b_{1} + b_{2} + s_{1} + s_{2} | a x ½(b_{1} + b_{2}) | b = base and a = altitude |

Pentagon | 5 x s | ¼(a x s) | a = apothem and s = side |

Hexagon | 6 x s | ½(3√3s^{2}) | s = side |

Rhombus | 4 x s | ½ d_{1}d_{2} | s = side length, d_{1} and d_{2} = diagonal length |

### 3-dimensional geometric shape formulas

Shape | Lateral Area | Surface Area | Volume | Comments |
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Cube | 4 x s^{2} | 6 x s^{2} | s^{3} | s = side length |

Rectangular Solid | H(2L x 2W) | L x W + L x H + W x H | L x W x H | L = length, W = width, H = height |

Cylinder | 2πrh | 2πr^{2}h + 2πrh | πr^{2}h | r = radius and h = height |

Pyramid | ½Base Perimeter x Slant Height | Base Area x Lateral Area | 1/3 Area of the Base x Height | r = radius and h = height |

Sphere | N/A | 4πr^{2} | 4πr^{3} ------ 3 | r = radius |

Cone | πrl | πr^{2} + πrl | 1/3πr^{2}h | r = radius and h = height and l = slant height |

Given a triangle with an angle ratio of a:b:c, the equation to solve for the angles is given by ax + bx + cx = 180, where Angle A = ax, Angle B = bx, and Angle C = cx