Density to Mass Calculator

Calculate mass from density and volume for cubes, spheres, cylinders, and boxes. Material database with comparison table for same-volume masses.

kg/m³
cm
Mass (grams)
7,850.00 g
m = ρ × V
Mass (kg)
7.8500 kg
SI mass
Mass (lb)
17.3063 lb
Imperial
Mass (oz)
276.901 oz
Ounces
Weight (N)
76.982 N
W = m × g
Volume
1,000.000 cm³
Cube 10.00 cm

Mass by Material for Same Volume (1,000.0 cm³)

MaterialDensity (kg/m³)Mass (g)Mass (lb)
Water1,0001,000.002.2046
Oak Wood700700.001.5432
Aluminum2,7002,700.005.9525
Steel7,8507,850.0017.3063
Copper8,9608,960.0019.7534
Lead11,34011,340.0025.0004
Gold19,32019,320.0042.5933
Concrete2,4002,400.005.2911
Titanium4,5004,500.009.9208
Planning notes, formulas, and examples

About the Density to Mass Calculator

If you know a material's density and the object's volume, mass follows directly from m = ρ × V. That is the basic step behind estimating shipping weight, choosing stock size, and checking whether a design is likely to be too heavy.

This calculator supports cubes, spheres, cylinders, rectangular prisms, and custom volumes, then reports the mass in several common units. The comparison table also shows how the same volume would change if the material were swapped.

That makes it useful whenever you want to move from a geometric description to a physical mass estimate without working through the unit conversions by hand.

When This Page Helps

Mass is often the more practical number when ordering material or checking a design against a weight limit. This page keeps the geometry and density relationship together so you can compare candidate materials without redoing the arithmetic each time.

How to Use the Inputs

  1. Select a material from the dropdown or enter a custom density in kg/m³.
  2. Choose a geometric shape (cube, sphere, cylinder, box, or custom volume).
  3. Enter the necessary dimensions in your preferred unit.
  4. View mass in grams, kilograms, pounds, and ounces, plus weight in Newtons.
  5. Check the comparison table to see mass for the same volume in different materials.
Formula used
Mass: m = ρ × V. Volume formulas: Cube V = s³, Sphere V = (4/3)πr³, Cylinder V = πr²h, Box V = l × w × h. Weight: W = m × g (g = 9.80665 m/s²).

Example Calculation

Result: 7,850 g (7.85 kg)

Steel density = 7850 kg/m³ = 7.85 g/cm³. Volume of 10 cm cube = 1000 cm³. Mass = 7.85 × 1000 = 7850 g = 7.85 kg.

Tips & Best Practices

  • For lightweighting analysis, compare the same geometry across materials using the comparison table.
  • Remember that raw material is sold by weight—converting designer volumes to ordering mass is this calculator's core function.
  • Account for processing waste: machined parts may require 2–5× the final mass in raw stock.
  • For hollow parts, calculate the volume of material (not the enclosed space).
  • Shipping weight includes packaging—add 5–15% for pallets, crates, and padding.

From Design to Material Order

In manufacturing, the workflow often goes: design a part (known shape and dimensions) → select a material (known density) → calculate mass → compute cost → order material. This calculator handles the middle step.

For example, designing an aluminum heat sink: the CAD model gives a volume of 250 cm³. Aluminum density is 2.70 g/cm³. Mass = 250 × 2.70 = 675 g. At $2.50/kg for 6061 bar stock with 2:1 buy-to-fly ratio, the raw material cost is 1.35 kg × $2.50 = $3.38.

Material Substitution Analysis

| Material | Density Ratio vs Steel | Weight for Same Part | |---|---|---| | Steel (baseline) | 1.00× | 100% | | Aluminum | 0.34× | 34% | | Titanium | 0.57× | 57% | | Magnesium | 0.22× | 22% | | Carbon Fiber Composite | 0.20× | 20% |

Note that stiffness and strength also vary, so you cannot simply substitute lighter materials without redesigning for adequate structural performance.

Sources & Methodology

Last updated:

Frequently Asked Questions

  • Mass (kg) is the amount of matter; weight (N) is the gravitational force on that mass. Weight = mass × g, where g = 9.81 m/s² on Earth.