[tex](35cm^3)(\frac{7.874 g}{1 cm^3} )[/tex]
You can think of the 35 cubic centimeters as being 35 individual 1-cubic-centimeter blocks of iron, each weighing 7.874 grams. This would mean multiplying the density by the volume to find mass.
Another way of thinking about it is by using units. Because cm^3 is in the denominator of the density and the numerator of the volume, multiplying the two values would give a final answer with units of grams, which is the mass.
