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Volume of geometric shapes

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

person_outlineAntonschedule2008-11-19 18:42:11

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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

Cube dimensions
Cube dimensions


Formula: V=H^3

PLANETCALC, Volume of a cube

Volume of a cube

Side length
Digits after the decimal point: 5
Volume
 

Volume of a rectangular prism

Rectangular prism dimensions
Rectangular prism dimensions


Formula: V=HWL

PLANETCALC, Volume of a rectangular prism

Volume of a rectangular prism

Digits after the decimal point: 5
Volume
 

Volume of a pyramid

Pyramid dimensions
Pyramid dimensions


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

PLANETCALC, Volume of a pyramid

Volume of a pyramid

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

Volume of a frustum

Frustum dimensions
Frustum dimensions


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

PLANETCALC, Volume of a frustum

Volume of a frustum

Digits after the decimal point: 5
Volume
 

Volume of a cone

Cone dimensions
Cone dimensions


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

PLANETCALC, Volume of a cone

Volume of a cone

Digits after the decimal point: 5
Volume
 

Volume of a cylinder

Cylinder dimensions
Cylinder dimensions


Formula: V=\pi R^2 H

PLANETCALC, Volume of a cylinder

Volume of a cylinder

Digits after the decimal point: 5
Volume
 

Volume of a sphere

Sphere dimensions
Sphere dimensions


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

PLANETCALC, Volume of a sphere

Volume of a sphere

Digits after the decimal point: 5
Volume
 

Volume of a ellipsoid

Ellipsoid dimensions
Ellipsoid dimensions


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

PLANETCALC, Volume of an ellipsoid

Volume of an ellipsoid

Digits after the decimal point: 5
Volume
 

Volume of a torus

Torus dimensions
Torus dimensions


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

PLANETCALC, Volume of a torus

Volume of a torus

Digits after the decimal point: 5
Volume
 

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