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## Related Tools

- Box and Sphere dimensions calculator
- Cylinder and Sphere dimensions calculator
- Box 1 and Box 2 dimensions calculator
- Cylinder 1 and Cylinder 2 dimensions calculator
- Box volume calculator
- Cylinder volume calculator

## User Guide

This tool will calculate the measurement of a selected dimension for one of the shapes, which is necessary to ensure a rectangular box and a cylinder have the same volume.

Use this tool to calculate the dimensions of a cylindrical tank which is required to replace a rectangular shaped tank or vice versa.

Determine the length of a material supplied in cylindrical form that is required to be moulded into a rectangular shaped material.

Experiment with different dimensions of each shape whilst maintaining an equal volume for both.

### Formulas

The formulas used by this box and cylinder dimensions with same volume calculator, to determine each individual parameter, are as follows:

#### Same Volume Mode (V_{box} = V_{cyl})

L_{box} = L_{cyl} · π · ø_{cyl}^{2} / (4 · W_{box} · H_{box})

W_{box} = L_{cyl} · π · ø_{cyl}^{2} / (4 · L_{box} · H_{box})

H_{box} = L_{cyl} · π · ø_{cyl}^{2} / (4 · L_{box} · W_{box})

L_{cyl} = L_{box} · W_{box} · H_{box} · 4 / (π · ø_{cyl}^{2})

ø_{cyl} = 2 · √(L_{box} · W_{box} · H_{box} / (π · L_{cyl}))

#### Box Mode

L_{box} = V / (W_{box} · H_{box})

W_{box} = V / (L_{box} · H_{box})

H_{box} = V / (L_{box} · W_{box})

V = L_{box} · W_{box} · H_{box}

#### Cylinder Mode

L_{cyl} = 4 · V / π · ø_{cyl}^{2}

ø_{cyl} = 2 · √(V / (L_{cyl} · π))

V = L_{cyl} · π · ø_{cyl}^{2} / 4

#### Symbols

- L
_{box}= Length of box - W
_{box}= Width of box - H
_{box}= Height of box - L
_{cyl}= Length of cylinder - ø
_{cyl}= Diameter of cylinder - V = Volume of box or cylinder
- π = Pi = 3.14159…

### Parameters

#### Length of Box

This is the length of the longest horizontal dimension of the rectangular box.

#### Width of Box

This is the length of the shortest horizontal dimension of the rectangular box.

#### Height of Box

This is the length of the vertical dimension of the rectangular box.

#### Length of Cylinder

This is the length of the cylindrical shaped object.

#### Diameter of Cylinder

This is the diameter of the cylindrical shaped object.

#### Volume

This is the volume of the rectangular or cylindrical shaped object.