Density is given by the equation D=m/V, were D is density, m is mass in grams, and V is volume in cubic centimeters.
In this problem, we have density and we have mass so we can plug into the equation and solve for V.
38.6=270.2/V
*Multiply both sides by V*
38.6V=270.2
*Divide both sides by 38.6*
V=7
The volume of the gold nugget is 7cm3.
Hope this helps!!