grams per cubic centimeter (g/cm3) to tonnes per cubic meter (t/m3) conversion

What is the Gram per Cubic Centimeter?

The gram per cubic centimetre is a metric unit of density widely used in chemistry, materials science, and geology because most solids and liquids have convenient single- or double-digit values in these units.

Definition

One gram per cubic centimetre is one gram of mass in a volume of one cubic centimetre. Since a cubic centimetre is one millionth of a cubic metre and a gram is one thousandth of a kilogram, the unit equals exactly 1000 kilograms per cubic metre.

$$1\ \text{g/cm}^3 = 1000\ \text{kg/m}^3$$

It is numerically identical to the gram per millilitre and to the tonne per cubic metre.

Origin and History

The unit arose from the centimetre-gram-second (CGS) system introduced in the 19th century, in which it was the standard measure of density. It was historically anchored to water: the gram was originally defined so that one cubic centimetre of water at maximum density weighed almost exactly one gram, giving water a density near 1 g/cm³.

Law and Notable Facts

Though CGS has been superseded by SI, the gram per cubic centimetre remains the everyday unit for tabulating densities of materials. A substance with density less than 1 g/cm³ floats on water while a denser one sinks. Osmium and iridium, the densest naturally occurring elements, sit around 22.6 g/cm³.

Real-World Examples and Conversions

• Water at 4 °C: about 1.000 g/cm³ (1000 kg/m³).
• Aluminium: about 2.70 g/cm³; iron: about 7.87 g/cm³.
• Gold: about 19.3 g/cm³ (19300 kg/m³).
• 1 g/cm³ = 1000 kg/m³ = 1 g/mL = 1 kg/L.

What is the Tonne per Cubic Meter?

The tonne per cubic meter is a metric unit of mass density, giving the number of metric tonnes of mass contained in one cubic meter of volume. It is common in civil engineering, mining, and bulk-materials handling, where masses are large.

Definition

One tonne per cubic meter equals one metric tonne (1000 kilograms) spread over one cubic meter. In SI base units:

$$1\ \text{t/m}^3 = 1000\ \text{kg/m}^3$$

This makes the tonne per cubic meter numerically equal to the kilogram per liter and to the gram per cubic centimeter, so pure water is very close to 1 t/m³.

Origin and History

The metric tonne (1000 kg) was adopted alongside the metric system to handle industrial-scale masses, and pairing it with the cubic meter—the coherent SI unit of volume—produced a convenient large-scale density unit. It became standard in continental European engineering practice during the nineteenth and twentieth centuries.

Law and Notable Facts

The tonne is accepted for use with the SI, though "t/m³" is a derived combination rather than a coherent SI unit itself. A handy fact: because 1 t/m³ equals 1 kg/L, an engineer's "specific gravity" of a material relative to water reads directly as its density in t/m³.

Real-World Examples and Conversions

Fresh water is about 1.00 t/m³ and seawater about 1.025 t/m³. Ordinary structural concrete runs roughly 2.4 t/m³, while structural steel is about 7.85 t/m³. Dry loose sand is around 1.6 t/m³. To convert to pounds per cubic foot, multiply by 62.43.