You are here:

A Frustum is a three-dimensional geometric shape which resembles a cone with the top cut off.

The top and base diameters are parallel and on the centre of axis.

Dimension | Value |
---|---|

Height (h) | |

Slope Height (s) | |

Top Diameter (d1) | |

Base Diameter (d2) | |

Top Radius (r1) | |

Base Radius (r2) | |

Top Surface Area (T) | |

Lateral Surface Area (L) | |

Base Surface Area (B) | |

Total Surface Area (A) | |

Volume (V) | |

s = √( (r2 - r1)^{2}+h^{2})

T = πr1^{2}

B = πr2^{2}

L = π x (r1 + r2) x s

a = T + B + L

V = (1/3) x π x h x (r1^{2} + r2^{2} + (r1 * r2) )

Where:

**h**: The vertical height of the frustum**s**: The length of the sloped side**d1**: Diameter of the top, equal to twice the top radius**d2**: Diameter of the base, equal to twice the base radius**r1**: Radius of the top of the frustum, equal to half the top diameter**r2**: Radius of the base, equal to half the base diameter**T**: Surface area of the top in square units**L**: The Lateral surface area in square units**B**: Surface area of the circular base in square units**A**: A Total surface area in square units**V**: The volume of the frustum in cubic units