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 m³

But the next problem is the volume units are m³ and we need cm³. So we must convert m³ to cm³. Then use the density of gold to determine the mass of the gold.