kilograms per cubic meter (kg/m3) to pounds per cubic inch (lb/in3) conversion

What is the Kilogram per Cubic Meter?

The kilogram per cubic metre is the SI derived unit of density (mass per unit volume). It expresses how much mass is contained within a one-cubic-metre volume of a substance.

Definition

One kilogram per cubic metre is one kilogram of mass distributed uniformly through one cubic metre of space. It is the SI base-unit expression of density and therefore its own ground truth.

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

Because it combines the base units kilogram and metre directly, it needs no conversion factor within the SI system.

Origin and History

The unit follows directly from the metre-kilogram-second (MKS) system adopted as the foundation of the modern International System of Units (SI) in 1960. Density as mass per volume was formalised through the work of Archimedes on buoyancy and later quantified precisely once the kilogram and metre were standardised in the late 18th and 19th centuries.

Law and Notable Facts

The kilogram per cubic metre is the coherent SI unit for density and is legally recognised worldwide. It is numerically identical to the gram per litre and to the milligram per millilitre, all three equalling one another exactly. Everyday materials are often quoted in the equal but more convenient g/cm³, where 1 g/cm³ = 1000 kg/m³.

Real-World Examples and Conversions

• Pure water at 4 °C has a density of about 1000 kg/m³.
• Dry air at sea level and 15 °C is roughly 1.225 kg/m³.
• Iron is about 7870 kg/m³, and lead about 11340 kg/m³.
• 1 kg/m³ = 0.001 g/cm³ = 1 g/L = 1 mg/mL.

What is the Pound per Cubic Inch?

The pound per cubic inch is a US customary and imperial unit of mass density, giving the number of avoirdupois pounds packed into one cubic inch. Because a cubic inch is tiny, this unit yields large numbers and is reserved for very dense materials such as metals.

Definition

One pound per cubic inch equals one avoirdupois pound (0.45359237 kg) in a volume of one cubic inch (1.6387064×10⁻⁵ m³). The result is:

$$1\ \text{lb/in}^3 = 27679.9\ \text{kg/m}^3$$

Since an inch is exactly 0.0254 m and a pound exactly 0.45359237 kg, the factor 27679.9047... kg/m³ is exact.

Origin and History

Like other Anglo-American density units, it combines the avoirdupois pound with the cubic inch, a fine-grained volume long used in machining and metalworking. It became a favored unit in metallurgy and mechanical engineering, where compact, high-density samples are measured.

Law and Notable Facts

The defining pound and inch were fixed exactly by the 1959 international yard and pound agreement. A striking fact: one pound per cubic inch is about 27.68 times the density of water, so almost every everyday liquid has a density well below 0.1 lb/in³, making the unit practical mainly for solids and metals.

Real-World Examples and Conversions

Aluminum is about 0.098 lb/in³, steel about 0.284 lb/in³, lead about 0.410 lb/in³, and gold about 0.698 lb/in³. Water is only about 0.0361 lb/in³. To convert to kilograms per cubic meter, multiply by 27679.9; to grams per cubic centimeter, multiply by 27.6799.