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Material cost from volume and density

The material cost of a part can be found from its volume, the material's density, and the price per kilogram. First find the mass by multiplying volume by density, then multiply the mass by the price per kilogram.

m=V⋅ρm = V\cdot \rhomass from volume and density
K=m⋅pkgK = m\cdot p_{\text{kg}}material cost

Symbols

VVvolumecm³
ρ\rhodensityg/cm³
mmmassg
pkgp_{\text{kg}}price per kgkr/kg

Example

Part of 100 cm³ in steel (ρ=7.85\rho = 7.85 g/cm³), price 20 kr/kg:

m=100⋅7.85=785m = 100\cdot 7.85 = 785 g, K=0.785⋅20≈15.7K = 0.785\cdot 20 \approx 15.7 kr.

Remember to convert from grams to kilograms before multiplying by the price per kilogram.
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Part of Product Development: Design for X and production.