Final answer:
The density of the tin piece is calculated by dividing the mass by the volume, giving an initial result of 7.302325581 g/cm³. After rounding to two significant figures, the final density is 7.3 g/cm³.
Step-by-step explanation:
To calculate the density of a tin piece, you use the formula Density = Mass / Volume. Given that the mass of the tin is 31.4 grams and the volume is 4.3 cm³, the density would be calculated as follows:
Density = 31.4 g / 4.3 cm³ = 7.302325581 g/cm³
However, considering significant figures, we have to round our answer to the least number of significant figures given in the measurement. Since our volume has only two significant figures, our density value should also be rounded to two significant figures. This would give us a final density value of 7.3 g/cm³.