Question

unit conversion tutorial. lets combine a complex unit with the cubed units that we have just learned. notice that the top unit does not change in this example. 1 kg = 1,000 g; 1 g = 100 cg; 1 g = 1,000 mg; 1 lb = 454 g; 1 lb = 16 oz; 1 km = 1,000 m; 1 m = 100 cm; 1 m = 1,000 mm; 1 in = 2.54 cm; 1 ft = 12 in; 1 yd = 3 ft; 1 kl = 1,000 l; 1 l = 1,000 ml; 1 l = 100 cl; 1 l = 10 dl; 1 qt = 946 ml; 4 qts = 1 gallon; 1 mol = 1,000 mmol; 60 s = 1 min; 60 min = 1 hr; 24 hr = 1 day. convert 0.28 g/cm³ to g/m³.

Explanation:

Step1: Recall the conversion between cm and m

We know that 1 m = 100 cm, so 1 cm=$\frac{1}{100}$m = 0.01 m. Then 1 $cm^{3}=(0.01m)^{3}=1\times10^{- 6}m^{3}$.

Step2: Perform the unit - conversion

We have the quantity 0.28 $\frac{g}{cm^{3}}$. Substitute the conversion of $cm^{3}$ to $m^{3}$ into the expression. So $0.28\frac{g}{cm^{3}}=\frac{0.28g}{1\times10^{-6}m^{3}}$.

Step3: Calculate the result

$\frac{0.28g}{1\times10^{-6}m^{3}} = 0.28\times10^{6}g/m^{3}=2.8\times10^{5}g/m^{3}$.

Answer:

$2.8\times10^{5}$