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# Volume of geometric shapes

Calculates volume of geometric shapes: cube, prism, pyramid, frustum, cone, cylinder, sphere, ellipsoid.

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This article contains a collection of calculators for calculating geometric figures' volume. Calculation formulas primary source: Spiegel, Murray R. Mathematical Handbook of Formulas and Tables. Schaum's Outline Series in Mathematics. McGraw-Hill Book Co., 1968.

## Volume of a cube

Formula: $V=H^3$

#### Volume of a cube

Side length
Digits after the decimal point: 5
Volume

## Volume of a rectangular prism

Formula: $V=HWL$

#### Volume of a rectangular prism

Digits after the decimal point: 5
Volume

## Volume of a pyramid

Formula: $V={1 \over 3} S_b H$

#### Volume of a pyramid

Area of a pyramid base.
Digits after the decimal point: 5
Volume

## Volume of a frustum

Formula: $V={H\over3}(S_{b1}+S_{b2}+\sqrt{S_{b1} S_{b2}})$

#### Volume of a frustum

Digits after the decimal point: 5
Volume

## Volume of a cone

Formula: $V={1 \over 3} \pi R^2 H$

#### Volume of a cone

Digits after the decimal point: 5
Volume

## Volume of a cylinder

Formula: $V=\pi R^2 H$

#### Volume of a cylinder

Digits after the decimal point: 5
Volume

## Volume of a sphere

Formula: $V={ 4\over3 } \pi R^3$

#### Volume of a sphere

Digits after the decimal point: 5
Volume

## Volume of a ellipsoid

Formula: $V={4\over 3} \pi R_1 R_2 R_3$

#### Volume of an ellipsoid

Digits after the decimal point: 5
Volume

## Volume of a torus

Formula: $V=2 \pi^2 R_1 R_2^2$

#### Volume of a torus

Digits after the decimal point: 5
Volume

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