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.

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.

Why Use This Density to Mass Calculator?

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 This Calculator

  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

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

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

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Frequently Asked Questions

What is the difference between mass and weight?

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.

Can I use this for liquids?

Yes—enter the liquid density and volume. For water at room temperature, use 997 kg/m³; for other liquids, look up their density.

Why is gold so heavy for its size?

Gold has a density of 19,320 kg/m³—nearly 20× heavier than water and 2.5× heavier than steel for the same volume.

How do I estimate material cost from mass?

Multiply mass by the material price per kg. For example, aluminum at $2.50/kg: a 5 kg part costs about $12.50 in raw material.

Does temperature affect the calculation?

Slightly—thermal expansion changes volume and density. For metals, the effect is under 1% for typical temperature ranges. For precise work, use the density at the actual temperature.

What if my shape is not listed?

Use "Custom Volume" mode and enter the volume directly. You can calculate volume separately for complex shapes.

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