2. What is the density of a block on your desk that acts as a paperweight? The block measures 3cm by 4cm by 6cm and has a mass of 184.32g.

Answer: B

Explanation:

The density of the block is 2.56 g/cm³.

To find the density of the block, we use the formula density = mass/volume. The volume of the block is calculated as 3cm × 4cm × 6cm, which equals 72 cm³. Given the mass of 184.32g, the density is 184.32g / 72cm³, resulting in approximately 2.56 g/cm³.

A) 13.27 g/cm³

This option is incorrect as it greatly overestimates the density of the block. The calculated density of 2.56 g/cm³ is significantly lower than this value, indicating a miscalculation in either mass or volume in reaching this answer.

B) 2.56 g/cm³

This option is correct because it accurately reflects the calculated density of the block. By dividing the mass of 184.32g by the volume of 72 cm³, we confirm that the density is indeed 2.56 g/cm³.

C) 0.39 g/cm³

This option is incorrect as it underestimates the density of the block. A density of 0.39 g/cm³ does not align with the mass and volume provided, indicating a significant error in calculation.

D) None of the above.

This option is incorrect because option B provides the correct density of 2.56 g/cm³. Thus, stating "none of the above" is misleading since one of the options is indeed valid.

Conclusion

The correct answer is B, as it accurately represents the calculated density of the block based on its mass and volume. All other options fail either by significantly overestimating or underestimating the density, or incorrectly dismissing the correct choice. Hence, option B is the only valid answer.