Enter the filament mass (g), the density (g/cm^3), and the cross-sectional area (cm^2) into the Filament Length Calculator. The calculator will evaluate the Filament Length.

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## Filament Length Formula

The following formula is used to calculate the Filament Length.

FL = M / D / A

- Where FL is the Filament Length (cm)
- M is the filament mass (g)
- D is the density (g/cm^3)
- A is the cross-sectional area (cm^2)

To calculate the filament length, divide the filament mass by the density and cross-sectional area.

## How to Calculate Filament Length?

The following two example problems outline the steps and information needed to calculate the Filament Length.

**Example Problem #1**

- First, determine the filament mass (g).
- The filament mass (g) is calculated to be : 40.

- Next, determine the density (g/cm^3).
- The density (g/cm^3) is measured to be: 20.

- Next, determine the cross-sectional area (cm^2).
- The cross-sectional area (cm^2) is found to be: 2.

- Finally, calculate the Filament Length using the formula above:

FL = M / D / A

The values provided above are inserted into the equation below and computed.

FL = 40 / 20 / 2 = 1 (cm)

**Example Problem #2**

The variables required for this problem are provided below:

filament mass (g) = 50

density (g/cm^3) = 30

cross-sectional area (cm^2) = 5

Test your knowledge using the equation and check your answer with the calculator.

FL = M / D / A =** **(cm)