### Perform the following conversion and report the answer to the
correct number of significant figures.

### b) If a sample of gold measured 17 meters on a side,
calculate the mass of the sample.

### Answer

### So how do we get from the length of a side to a
mass? Since we know the density of gold is a mass per unit volume
all we need to do is find the volume of the sample of gold. Since
the edge of a cube 17 meters to find the volume we need to
multiple 17 m x 17 m x 17 m..

### 17 m x 17 m x 17 m = 4913 m^{3}

### But the next problem is the volume units are m^{3}
and we need cm^{3}. So we must convert m^{3} to
cm^{3}. Then use the density of gold to determine the
mass of the gold.