lb/in³ to g/cm³
1 Pound per Cubic Inch (lb/in³) = 27.6799Gram per Cubic Centimeter (g/cm³)
By KAMP Inc. / UnitOwl · Last reviewed:
How Many g/cm³ in a lb/in³?
One pound per cubic inch (lb/in³) equals approximately 27.6799 grams per cubic centimeter (g/cm³). To convert lb/in³ to g/cm³, multiply the lb/in³ value by 27.6799. The lb/in³ unit is primarily used in American manufacturing, machining, and materials engineering for metals and dense materials. Steel is about 0.284 lb/in³ (7.85 g/cm³), aluminum is 0.098 lb/in³ (2.71 g/cm³), and copper is 0.323 lb/in³ (8.94 g/cm³). Machinists calculating the weight of metal parts, manufacturing engineers selecting materials, and procurement specialists comparing material datasheets from US and international suppliers all need this conversion. The lb/in³ values are small decimals for most materials, which is why metric g/cm³ is often preferred — it produces more readable numbers. This conversion becomes especially important when a US drawing package, quote, or vendor sheet is written in inch-pound units but the analysis team or overseas supplier expects metric material properties. A unit slip here can distort part-weight estimates, shipping quotes, and even machine load assumptions for heavy components. It is also a routine checkpoint when converting material tables for ERP, CAD, or quoting systems.
How to Convert Pound per Cubic Inch to Gram per Cubic Centimeter
- Start with your density value in lb/in³.
- Multiply the lb/in³ value by 27.6799 to get g/cm³.
- For example, 0.284 lb/in³ x 27.6799 = 7.86 g/cm³ (steel).
- For a rough estimate, multiply lb/in³ by 27.7.
- To get kg/m³ instead, multiply lb/in³ by 27,679.9.
Real-World Examples
Quick Reference
| Pound per Cubic Inch (lb/in³) | Gram per Cubic Centimeter (g/cm³) |
|---|---|
| 1 | 27.6799 |
| 2 | 55.3598 |
| 5 | 138.4 |
| 10 | 276.799 |
| 25 | 691.998 |
| 50 | 1,384 |
| 100 | 2767.99 |
History of Pound per Cubic Inch and Gram per Cubic Centimeter
The lb/in³ unit became standard in American metalworking because machinists think in inches — parts are dimensioned in inches, volumes are calculated in cubic inches, and weights are in pounds. When a machinist needs to estimate the weight of a turned part, knowing that steel is 0.284 lb/in³ lets them multiply part volume (in in³) directly by density to get weight in pounds. This practical workflow kept lb/in³ alive in American manufacturing even as international materials science standardized on g/cm³. The conversion factor of 27.6799 reflects the combined inch-to-centimeter (2.54 exactly) and pound-to-gram (453.592) relationships: 453.592 / 2.54³ = 453.592 / 16.387 = 27.6799.
Common Mistakes to Avoid
- Confusing lb/in³ with lb/ft³. 1 lb/in³ = 1,728 lb/ft³ (12³). Steel at 0.284 lb/in³ = 490 lb/ft³. If you see a density of 490 and assume lb/in³, you will calculate a mass 1,728 times too large.
- Using the reciprocal conversion factor. To go from g/cm³ to lb/in³, divide by 27.68 (not multiply). Steel at 7.85 g/cm³ / 27.68 = 0.284 lb/in³.
- Not checking units on material datasheets. American datasheets may list density in lb/in³ or lb/ft³ depending on the application. Always verify which cubic unit is being used.
- Using a nominal handbook density when alloy, porosity, or composition changes the actual value. Castings, powder-metal parts, foamed plastics, and different aluminum or brass alloys can vary enough that the conversion is correct but the chosen source density is still not appropriate for a final weight estimate.
Frequently Asked Questions
Why do machinists prefer lb/in³ over lb/ft³?
What are common metal densities in both units?
How do I estimate the weight of a machined part?
When should I convert lb/in³ to g/cm³ instead of kg/m³?
Why are lb/in³ values so small for most metals?
For quick metal weight estimates in a machine shop: steel is about 0.28 lb/in³, aluminum is about 0.10 lb/in³ (roughly one-third of steel), and copper is about 0.32 lb/in³. These three values cover most common machining materials and are easy to remember.
Sources & References
- NIST — Units and Conversion Factors — Official unit conversion factors from the National Institute of Standards and Technology.
- BIPM — The International System of Units (SI) — International SI unit definitions from the International Bureau of Weights and Measures.