What is the mass of a gold bar that is 7.379 × 10–4 m3 in volume? The density of gold is 19.3 g/cm3
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Answer: 1.42g
Explanation: Density = mass/volume, but you'll want to make sure your numbers have the correct labels. Density is measured in g/cm^3, and you've got the density and volume, so you'll just need to convert the volume to cm^3. To do this:
7.379x10^(-4) m^3 x (100cm^3)/1m^3 = 7.379x10^-2 cm^3.
Now that you know the volume in cm^3, you can plug in your numbers. Remember, density = mass/volume. Rearrange this to isolate mass.
Density x volume = mass
19.3g/cm^3 x 7.379x10^-2cm^3 = 1.42 grams (3 sig figs)
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