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Volume of geometric shapes

Calculates volume of geometric shapes: cube, prism, pyramid, frustum, cone, cylinder, sphere, ellipsoid.
Anton2008-11-19 18:42:11

This article contains a collection of calculators for calculating geometric figures volume. Calculation formulas main 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
Formula: V=H^3

Volume of a cubeCreative Commons Attribution/Share-Alike License 3.0 (Unported)
0.12345678901234567890
 

Volume of a rectangular prism

Rectangular prism dimensions
Formula: V=HWL

Volume of a rectangular prismCreative Commons Attribution/Share-Alike License 3.0 (Unported)
0.12345678901234567890
 

Volume of a pyramid

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

Volume of a pyramidCreative Commons Attribution/Share-Alike License 3.0 (Unported)
0.12345678901234567890
 

Volume of a frustum

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

Volume of a frustumCreative Commons Attribution/Share-Alike License 3.0 (Unported)
0.12345678901234567890
 

Volume of a cone

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

Volume of a coneCreative Commons Attribution/Share-Alike License 3.0 (Unported)
0.12345678901234567890
 

Volume of a cylinder

Cylinder dimensions
Formula: V=\pi R^2 H

Volume of a cylinderCreative Commons Attribution/Share-Alike License 3.0 (Unported)
0.12345678901234567890
 

Volume of a sphere

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

Volume of a sphereCreative Commons Attribution/Share-Alike License 3.0 (Unported)
0.12345678901234567890
 

Volume of a ellipsoid

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

Volume of an ellipsoidCreative Commons Attribution/Share-Alike License 3.0 (Unported)
0.12345678901234567890
 

Volume of a torus

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

Volume of a torusCreative Commons Attribution/Share-Alike License 3.0 (Unported)
0.12345678901234567890
 

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