# Volume Formulas for Geometric Shapes.

## Volume of a Cube

**The volume of a Cube** is equal to the cube of the length of its edge.

**Volume formula of a Cube:**

**V = a**

^{3}where V - a cube volume,

a - the length of an edge.

## Volume of a Prism

**The volume of a prism** is equal to the product of the base area to a height of a prism.

**Volume formula of a prism:**

**V = A**

_{b}· hwhere V - volume of the prism,

A

_{b}- the area of the base of the prism,

h - the height of the prism.

## Volume of a parallelepiped

**The volume of a parallelepiped** is equal to the product of the base area to a height of a parallelepiped.

**Volume formula of a parallelepiped:**

**V = A**

_{b}· hwhere V - volume of the parallelepiped,

A

_{b}- the area of the base of the parallelepiped,

h - the height of the parallelepiped.

## Volume of a Rectangular Prism

**The volume of a rectangular prism** is equal to the product of its length, width and height.

**Volume formula of a rectangular prism:**

**V = a · b · h**

where V - volume of a rectangular prism,

a - length,

b - width,

h - height.

## Volume of a Pyramid

**The volume of a pyramid** is equal to one third of the product of the area of its base times the height.

**The volume formula of a pyramid:**

V = | 1 | A_{b} · h |

3 |

where V - the volume of a pyramid,

A

_{b}- the area of the pyramid base,

h - the height of the pyramid.

## Volume of a Tetrahedron

**Volume formulas of a tetrahedron:**

V = | a^{3}√2 |

12 |

where V - volume of a tetrahedron,

a - edge length.

## Volume of a Right Circular Cylinder

**Volume of a right circular cylinder** is equal to the product of the area of its base times the height.

**Volume formula of a right circular cylinder:**

**V = π R**^{2}h**V = A**_{b}h

A

_{b}- area of the base,

R - radius of the base,

h - height,

π = 3.141592.

## Volume of a Right Circular Cone

**Volume of a right circular cone** is equal to one third of the product of the area of its base times the height.

**Volume formula of a right circular cone:**

V = | 1 | π R^{2} h |

3 |

V = | 1 | A_{b} h |

3 |

where V - volume of a cone,

A

_{b}- area of the base,

R - radius of the base,

h - height,

π = 3.141592.

## Volume of a Sphere (Solid)

**Volume of a sphere** is equal to four-thirds of its radius cubed multiplied by the number pi.

**Volume formula of a sphere (solid):**

V = | 4 | π R^{3} |

3 |

where V - volume of a sphere,

R - radius of a sphere,

π = 3.141592.

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