QuickUnits

Density

Pounds per cubic inch to grams per cubic centimetre

1 lb/in³ = 27.6799 g/cm³

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One pound per cubic inch is 27.6799047102 grams per cubic centimetre. It is the densest-sounding unit in common use — almost everything measured in it comes out as a small decimal, because a pound in a cubic inch is a very concentrated amount of matter.

About the units

Pounds per cubic inch is the American unit for the density of metals and dense engineering materials. Grams per cubic centimetre is the metric equivalent used everywhere else for the same purpose. The conversion combines the pound-to-gram factor of 453.59237 with the cubic-inch-to-cubic-centimetre factor of 16.387064, and dividing them gives the figure above. Because only a handful of materials exceed 1 lb/in³ — lead, tungsten, gold, uranium — the unit is usually written with three or four decimals.

The exact factor

The exact derivation is 453.59237 ÷ 16.387064 = 27.6799047102031 g/cm³ per lb/in³. Reference values: aluminium 0.0975 lb/in³ or 2.70 g/cm³; steel 0.284 or 7.85; copper 0.324 or 8.96; lead 0.410 or 11.34; and tungsten 0.697 or 19.3. Gold at 0.698 lb/in³ is 19.32 g/cm³, essentially identical to tungsten, which is the physical fact behind tungsten-cored counterfeit gold bars.

Where you meet this conversion

American materials engineering and machining, where stock weight is calculated from dimensions in inches and density in pounds per cubic inch. Aerospace weight budgets, mould filling calculations and metal purchasing all use it. Comparing an American alloy datasheet to a European one requires the conversion, and the numbers look so different — 0.284 against 7.85 — that no one confuses the units, which is one advantage of a factor this large.

Common values

Value (lb/in³) Converted (g/cm³)
1 27.6799
2 55.3598
5 138.4
10 276.799
25 691.998
50 1 384
100 2 767.99
500 13 840
1 000 27 679.9

Values are rounded for reading. The converter above keeps full precision.

The other way around

1 g/cm³ = 0.0361273 lb/in³

Grams per cubic centimetre to pounds per cubic inch divides by 27.68. A useful check: water is 0.0361 lb/in³, so any material figure below that floats, and the vast majority of engineering materials fall between 0.09 and 0.3.

Value (g/cm³) Converted (lb/in³)
1 0.0361273
2 0.0722546
5 0.180636
10 0.361273
25 0.903182
50 1.80636
100 3.61273
500 18.0636
1 000 36.1273

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