Final answer:
The volume of a 43.6 g piece of metal with a density of 2.71 g/cm³ is approximately 16.9 cm³, which means the correct answer is E) none of the above.
Step-by-step explanation:
To find the volume of a 43.6 g piece of metal with a density of 2.71 g/cm³, you can use the formula for density, which is Density = Mass/Volume. Rearrange this formula to solve for volume, giving you Volume = Mass/Density.
Substituting the given values into the formula:
Volume = 43.6 g / 2.71 g/cm³
Volume ≈ 16.9 cm³
Therefore, the answer is E) none of the above, because none of the provided options match the calculated volume.