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## Related Tools

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

## User Guide

This tool will calculate the measurement of a selected dimension for one of the two boxes, which is necessary to ensure both boxes have the same volume.

Use this tool to calculate the dimensions of a two boxes whilst maintaining an equal storage volume.

Determine the dimensions of two different storage tanks which will hold the same capacity of fluid

Experiment with different dimensions for each rectangular shaped box whilst maintaining an equal volume for both.

### Formulas

The formulas used by this two boxes dimensions with equal volume calculator to determine each individual parameter is as follows:

#### Equal Volume Mode (V_{box1} = V_{box2})

L_{box1} = L_{box2} · W_{box2} · H_{box2} / (W_{box1} · H_{box1})

W_{box1} = L_{box2} · W_{box2} · H_{box2} / (L_{box1} · H_{box1})

H_{box1} = L_{box2} · W_{box2} · H_{box2} / (L_{box1} · W_{box1})

L_{box2} = L_{box1} · W_{box1} · H_{box1} / (W_{box2} · H_{box2})

W_{box2} = L_{box1} · W_{box1} · H_{box1} / (L_{box2} · H_{box2})

H_{box2} = L_{box1} · W_{box1} · H_{box1} / (L_{box2} · W_{box2})

#### Box 1 Mode

L_{box1} = V / (W_{box1} · H_{box1})

W_{box1} = V / (L_{box1} · H_{box1})

H_{box1} = V / (L_{box1} · W_{box1})

V = L_{box1} · W_{box1} · H_{box1}

#### Box 2 Mode

L_{box2} = V / (W_{box2} · H_{box2})

W_{box2} = V / (L_{box2} · H_{box2})

H_{box2} = V / (L_{box2} · W_{box2})

V = L_{box2} · W_{box2} · H_{box2}

#### Symbols

- L
_{box1}= Length of box 1 - W
_{box1}= Width of box 1 - H
_{box1}= Height of box 1 - L
_{box2}= Length of box 2 - W
_{box2}= Width of box 2 - H
_{box2}= Height of box 2 - V = Volume of box 1 or box 2

### Parameters

#### Length of Box 1

This is the length of the longest horizontal dimension of box 1.

#### Width of Box 1

This is the length of the shortest horizontal dimension of box 1.

#### Height of Box 1

This is the length of the vertical dimension of box 1.

#### Length of Box 2

This is the length of the longest horizontal dimension of box 2.

#### Width of Box 2

This is the length of the shortest horizontal dimension of box 2.

#### Height of Box 2

This is the length of the vertical dimension of box 2.

#### Volume

This is the volume of box 1 or box 2.