What is the density of a piece of cork with a volume of 23.5 cm³ and a mass of 5.7g?

Rationale

0.243g/cm³

The density of an object is calculated using the formula density = mass/volume. For the piece of cork, the mass is 5.7 grams and the volume is 23.5 cm³, leading to a density of approximately 0.243 g/cm³.

A (0.243g/cm³) CORRECT

This choice accurately reflects the calculated density of the cork, derived from dividing the mass (5.7g) by the volume (23.5 cm³). The result is 0.243 g/cm³, confirming that this is the correct answer.

B (4.123g/cm³) YOUR ANSWER

This option incorrectly suggests a significantly higher density. If the mass of 5.7g were divided by a much smaller volume, such as 1.38 cm³, it would yield this value. However, using the actual volume of 23.5 cm³ results in a much lower density, making this choice incorrect.

C (133.95g/cm³) YOUR ANSWER

This choice represents an unrealistic density for cork. For this density to be true, the mass would need to be over 18,000 grams for a volume of 135 cm³, which is not applicable in this scenario. Thus, this option is incorrect.

D (None of the above) YOUR ANSWER

This answer implies that none of the options represent the correct density, which is false since option A accurately calculates the density of the cork as 0.243 g/cm³. Therefore, this choice is not valid.

Conclusion

The density of the cork is correctly calculated as 0.243 g/cm³ using its mass and volume. This value aligns with the physical properties of cork, which is known to be a lightweight material. The incorrect options stem from either miscalculations or unrealistic assumptions regarding the material's density.

What is the density of a piece of cork with a volume of 23.5 cm³ and a mass of 5.7g?

0.243g/cm³

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