# Relations between the mass, the length, the width and the area density (surface density) of the fabric

This online calculator calculates the mass of the fabric given the length, the width and the area density (surface density); the length of the fabric given the mass, the width and the area density; the width of the fabric given the mass, the length and the area density; the area density given the mass, the length and the width

The area density (also known as areal density, surface density, superficial density, or density thickness) of a two-dimensional object is calculated as the mass per unit area. The area density is often used to describe the thickness of paper, carton, fabric, etc.

The SI derived unit for area density is kilograms per square meter (or grams per square meter).

For example, typical values of cotton density used for shirts are 60-100 g/m2, for jeans - 400 g/m2

Running, or linear meter, is term often used in fabric manufacturing. For roll of fabric the width of roll is usually known.

Hence, the mass, the length, the width and the area density of the roll are related according to the following formula:

,

where,

- m - the mass of the roll
- L - the length of the roll
- w - the width of the roll
- d - the area density of the fabric

If you know any three, it is easy to find the unknown, thus, calculator below can find:

- the mass of the fabric given the length, the width and the area density,
- the length of the fabric given the mass, the width and the area density,
- the width of the fabric given the mass, the length and the area density,
- the area density given the mass, the length and the width.

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