18. What is the density of a piece of cork with a volume of 23.5 cm³ and a mass of 5.7g?
Answer: A
The density of the piece of cork is 0.243g/cm³.
To find the density, you divide the mass by the volume. In this case, the density is calculated as 5.7g divided by 23.5 cm³, which equals approximately 0.243g/cm³.
A) 0.243g/cm³
This option is correct because it accurately represents the calculated density of the cork. The formula for density is mass divided by volume, and performing this calculation gives 5.7g / 23.5 cm³ = 0.243g/cm³.
B) 4.123g/cm³
This option is incorrect as it does not reflect the correct calculation of density. If the density were 4.123g/cm³, then the mass of the cork would have to be much higher for the same volume, which is not the case here.
C) 133.95g/cm³
This option is also incorrect because it suggests an impossibly high density for cork. Such a high density would imply a mass that is not feasible given the volume of 23.5 cm³ and the provided mass of 5.7g.
D) None of the above
This option is incorrect as the calculated density of 0.243g/cm³ is indeed listed among the choices. Therefore, stating "none of the above" is not applicable.
Conclusion
The correct answer is 0.243g/cm³, as it is the result of the proper density calculation for the given mass and volume of the cork. All other options either miscalculate the density or imply impossible values that do not correspond to the provided measurements. Thus, option A is definitively the only correct choice.