The calculation, without hidden assumptions
Density is mass per unit volume: ρ = m/V. OpenStax uses kg/m³ as the SI unit and notes the exact metric equivalence 1 g/cm³ = 1000 kg/m³. MAXScanner normalizes every input to SI, solves the selected unknown, then converts the same physical state back into useful density units so unit changes cannot silently change the answer.
How to use this calculator
Choose whether to solve density, mass or volume.
Enter the two known values and select their units.
Choose the preferred output unit for the unknown.
Check the SI-normalized substitution, equivalent density units, specific gravity reference and cube-side diagnostic when a volume is available.
Where people use it
- •Material and laboratory density checks with mixed mass/volume units
- •Reverse-solving shipment or batch mass from density and volume
- •Finding occupied volume from a known material density and mass
- •Checking kg/m³, g/cm³, g/mL and lb/ft³ equivalents before using a downstream formula
Worked example — 2.7 kg in 1 litre
A mass of 2.7 kg occupying 1 L has volume 0.001 m³. ρ = 2.7/0.001 = 2700 kg/m³ = 2.7 g/cm³. Relative to 1000 kg/m³ water, the simple specific-gravity ratio is 2.7.
What the result does not assume
- •Density depends on temperature and, especially for gases, pressure. Use density data at conditions matching the real material state.
- •Specific gravity shown here is the simple density ratio to 1000 kg/m³ water; formal reference conditions can differ by industry or standard.
- •Bulk materials can include voids, moisture and packing effects, so bulk density is not automatically the same as intrinsic material density.
Frequently asked questions
Can I solve mass or volume instead of density?+
Yes. Choose the target first. MAXScanner rearranges the same definition to m = ρV or V = m/ρ and preserves units through an SI-normalized calculation.
Why are g/cm³ and g/mL numerically equal?+
Because 1 cm³ equals 1 mL exactly, so the same mass-per-volume value has the same number in g/cm³ and g/mL.
Does density change with temperature?+
Yes. The effect is often modest for solids and liquids but can be large for gases. Use a density appropriate to the material temperature and pressure.
Is specific gravity the same as density?+
No. Density has units. Specific gravity is a dimensionless ratio between a material density and a reference density, commonly water for liquids and solids.
Semantic next steps
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Keep the result connected to the real job
MAXScanner keeps the formula and assumptions beside the result so you can verify the number before using it in a drawing, estimate, specification, worksheet or document. Where a supplier, manufacturer, drawing or applicable standard owns a requirement, that source remains authoritative.