# Volume Formulas

Volume of an object is the amount of space occupied by the object, which is three dimensional in shape. It is usually measured in terms of cubic units. In other words, volume of any object or container is the capacity of the container to hold the amount of fluid (gas or liquid).The volume of three dimensional mathematical shapes Cube, Cuboid, Cylinder, Prism and Cone etc. can be easily calculated by using arithmetic formulas whereas, to find the volumes of complicated shapes, one can use integral calculus.

For example, the volume of the cylinder can be measured as = πr^{2}h, where r = $\frac{d}{2}$ ;

r = radius of the circular base

d = Diameter of the circular base

h = height of the cylinder

Some of the formulas to find out volumes of basic shapes are –

Shapes |
Volume Formula |
Variables |

Rectangular Solid or Cuboid | l.w.h | l = Length, w = Width, h = Height |

Cube | a^{3} |
a = length of edge or side |

Cylinder | πr^{2}h |
r = radius of the circular edge, h = height |

Prism | B . h | B = area of base, (B = side^{2} or length.breadth)h = height |

Sphere | $\frac{4}{3}$πr^{3} |
r = radius of sphere |

Pyramid | $\frac{1}{3}$B.h | B = area of base, h = height of pyramid |

Right Circular Cone | $\frac{1}{3}$πr^{2}h |
r = radius of the circular base, h = height (base to tip) |

Square or Rectangular Pyramid | $\frac{1}{3}$lwh | l = length of base, w = width of base, h = height (base to tip) |

Ellipsoid | $\frac{4}{3}$πabc | a, b, c = semi – axes of ellipsoid |

Tetrahedron | $\frac{\sqrt{2}}{12}$$a^{3}$ | a = length of the edge |

Happy learning with BYJU’s – The Learning App!

More topics in Volume Formula | |

Volume of a Cube Formula | Spherical Cap Volume Formulas |