The Grams to mm Calculator helps you convert a given mass in grams into millimeters of length or size. This is useful when dealing with wires, fibers, cubes, cylinders, or spherical objects. By using simple formulas, you can understand how much length in millimeters a certain weight of material represents, depending on its density, shape, or linear density. This calculator belongs to the conversion and measurement category.
formula
Scenario 1: Using Linear Density
If you know the mass per unit length of an object like a wire or fiber, you can directly find its length.
Length in mm = Mass in Grams / Linear Density in (grams per mm)
Scenario 2: Using Density and Shape
For solid 3D objects, the process requires two steps.
Step 1: Calculate the Volume
Volume in cm³ = Mass in Grams / Density in g/cm³
Step 2: Use the Shape Formula
For a Cube:
Length of a side in mm = ( (Volume in cm³)^(1/3) ) * 10
For a Cylinder or Wire:
Length in mm = ( Volume in cm³ / (3.14159 * (radius in cm)²) ) * 10
For a Sphere:
Diameter in mm = 2 * ( ( (3 * Volume in cm³) / (4 * 3.14159) )^(1/3) ) * 10
Reference Table for Quick Use
Here is a simple table with approximate conversions that people often search for. These values assume common materials with known densities.
| Material | Mass (g) | Density (g/cm³) | Shape | Resulting Size (mm) |
|---|---|---|---|---|
| Aluminum Cube | 10 g | 2.70 | Cube | Side ≈ 13.6 mm |
| Steel Sphere | 50 g | 7.85 | Sphere | Diameter ≈ 16.6 mm |
| Copper Wire | 5 g | 8.96 | Cylinder, radius 0.5 mm | Length ≈ 709 mm |
| Plastic Cube | 20 g | 1.20 | Cube | Side ≈ 23.6 mm |
| Gold Sphere | 100 g | 19.3 | Sphere | Diameter ≈ 17.7 mm |
This table gives quick reference values without needing to calculate each time.
Example
Suppose you have a copper wire weighing 2 grams, with a radius of 0.25 cm (2.5 mm). The density of copper is 8.96 g/cm³.
Step 1: Find the volume
Volume = Mass / Density = 2 / 8.96 = 0.223 cm³
Step 2: Apply cylinder length formula
Length in mm = (Volume / (3.14159 * (0.25²))) * 10
Length = (0.223 / 0.196) * 10 = 11.37 mm
So, 2 grams of copper wire would have a length of about 11.4 mm.
Most Common FAQs
The Grams to mm Calculator belongs to the conversion and measurement tools category.
Yes, but you need to know the density and the correct formula for the specific shape, such as cube, cylinder, or sphere.
Density links mass and volume. Without density, you cannot convert grams into millimeters for solid objects, since the size depends on how tightly the material is packed.