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

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, cardboard, 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 a term often used in fabric manufacturing. For a roll of fabric, the width of the 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, the 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.
  
  

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

  Calculatelength mass width area density

  Mass, kg

  Width, cm

  Area density, g/m2

  Length

  Calculation precision

  Digits after the decimal point: 3

  Calculate

  Length, m

   

  Mass, kg

   

  Width, cm

   

  Area density, g/m2

   

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