Convert nominal leather oz and PCB copper weight to thickness, or use mass and density to find volume in mm³. These are different quantities: ordinary ounces of mass do not directly convert to a length in mm.
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Thickness Conventions and Mass-to-Volume Formula
For leather, nominal thickness is oz × 0.396875 mm using the 1/64-inch convention, or oz × 0.4 mm using the rounded convention. For nominal PCB base copper, thickness is approximately oz/ft² × 0.034798 mm; divide thickness by the selected factor for the reverse conversion. Actual leather and finished copper thickness depend on the material and manufacturing specification. The separate formula below converts ordinary avoirdupois mass ounces to volume in mm³ using density; it does not convert mass directly to linear mm.
Variables:
- V is the volume in cubic millimeters (mm³)
- Oz is the mass in ounces (oz, av)
- ρ is the density of the substance (g/cm³)
| Ounces (oz, av) | Cubic millimetres (mm³) |
|---|---|
| 1/16 | 1771.845 |
| ⅛ | 3543.690 |
| 1/6 | 4724.921 |
| ¼ | 7087.381 |
| ⅓ | 9449.841 |
| ⅜ | 10631.071 |
| ½ | 14174.762 |
| ⅝ | 17718.452 |
| ⅔ | 18899.682 |
| ¾ | 21262.142 |
| ⅞ | 24805.833 |
| 1 | 28349.523 |
| 1¼ | 35436.904 |
| 1⅓ | 37799.364 |
| 1½ | 42524.285 |
| 1¾ | 49611.665 |
| 2 | 56699.046 |
| 2½ | 70873.808 |
| 3 | 85048.569 |
| 4 | 113398.093 |
| * Rounded to 3 decimals. Assumes density ρ = 1.00 g/cm³ (water). Using 1 oz (av) = 28.349523125 g gives 1 oz ≈ 28,349.523 mm³ at ρ = 1.00 g/cm³. | |
What Is an Oz To mm³ Conversion?
Oz to mm³ is a density-dependent conversion because ounces (oz, av) measure mass, while cubic millimeters (mm³) measure volume. A direct conversion is not possible without knowing the substance’s density (for example, in g/cm³).
How to Calculate Oz To mm³?
The following steps outline how to calculate the volume in cubic millimeters (mm³) using the formula: V(mm³) = (Oz × 28349.523125) / ρ
- First, determine the mass in ounces (Oz).
- Next, determine the density of the substance (ρ) in g/cm³.
- Convert ounces to grams using 1 oz (av) = 28.349523125 g.
- Compute the volume in cubic centimeters: V(cm³) = mass(g) / ρ.
- Convert cm³ to mm³ by multiplying by 1000 (since 1 cm³ = 1000 mm³).
- After inserting the variables and calculating the result, check your answer with the calculator above.
Example Problem :
Use the following variables as an example problem to test your knowledge.
mass in ounces (Oz) = 5
density of the substance (ρ) = 2.5 g/cm³
volume (V) = (5 × 28349.523125) / 2.5 = 56,699.046 mm³
