Rationale
0.243g/cm³ is the density of the piece of cork.
Density is calculated by dividing mass by volume. For the cork, the density is determined by taking the mass of 5.7 grams and dividing it by the volume of 23.5 cm³, yielding a density of approximately 0.243 g/cm³.
A) This choice correctly represents the density calculation. By dividing the mass (5.7 g) by the volume (23.5 cm³), we get: 5.7 g ÷ 23.5 cm³ = 0.243 g/cm³. This is the accurate density of the cork.
B) This option is incorrect because it suggests a density of 4.123 g/cm³. This value results from an incorrect calculation, likely misunderstanding the relationship between mass and volume. It does not reflect the actual density derived from the given mass and volume of the cork.
C) This choice indicates a density of 133.95 g/cm³, which is significantly higher than what would be expected for cork. Such a high density suggests a miscalculation and does not correspond to the mass and volume provided, indicating a misunderstanding of density concepts.
D) This option claims that none of the above densities are correct. However, since choice A accurately represents the density of the cork, this option is incorrect. It fails to recognize that a valid answer exists among the other choices.
Conclusion
The calculation of density is fundamental in understanding material properties. For the cork with a mass of 5.7 g and a volume of 23.5 cm³, the correct density is 0.243 g/cm³, confirming that it is indeed less dense than water. This value provides insight into the buoyancy and behavior of cork in various applications.