Final answer:
The volume of a 3.5 gram piece of iron with a density of 7.9 g/cm³ is approximately 0.443 cm³.
Step-by-step explanation:
To find the volume of a 3.5 gram piece of iron when the density of iron is 7.9 grams per centimeters cubed, you can use the formula:
Density = Mass / Volume
Rearranging the formula to solve for volume gives us:
Volume = Mass / Density
So, to find the volume of the iron piece:
Volume = 3.5 g / 7.9 g/cm³
This calculation will give us:
Volume ≈ 0.443 cm³ (rounded to three significant figures, per the rule for division)
Therefore, a 3.5 gram piece of iron has a volume of approximately 0.443 cubic centimeters.