Question

The density of zinc is 455 lb/ft^3 . Calculate the mass (in grams) of 8.00 cm^3 of zinc.

(1 in. = 2.54 cm; 1 lb. = 0.4536 kg)​

Answer 1

Convert cm³ to ft³, then multiply by the density to get the mass in lb, then convert to g.

`8.00\,\mathrm{cm}^3 \cdot \left((1\,\rm in)/(2.54\,\rm cm) \cdot (1\,\rm ft)/(12\,\rm in)\right)^3 \cdot \frac{455\,\rm lb}{1\,\mathrm{ft}^3} \cdot \left((0.4536\,\rm kg)/(1\,\rm lb)\cdot(1000\,\rm g)/(1\,\rm kg)\right) \approx \boxed{58.3 \mathrm g}`