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.

Rationale

The density of the block is 2.56 g/cm³.

To calculate density, you use the formula density = mass/volume. In this case, the volume of the block is 3 cm × 4 cm × 6 cm = 72 cm³, and the mass is 184.32 g. Dividing the mass by the volume gives a density of 184.32 g / 72 cm³ = 2.56 g/cm³.

A (13.27 g/cm3) YOUR ANSWER

This value is significantly higher than what is calculated based on the given mass and volume. A density of 13.27 g/cm³ would imply an extremely dense material, which is not consistent with the mass of 184.32 g and the calculated volume of 72 cm³ for this block.

B (2.56 g/cm3) CORRECT

This is the correct answer, as it accurately reflects the calculated density of the block. The density is derived from dividing the mass (184.32 g) by the volume (72 cm³), resulting in a density of 2.56 g/cm³, which is a reasonable value for a common material such as metal or dense plastic.

C (0.39 g/cm3) YOUR ANSWER

This value suggests a very light material, which does not correspond to the mass and volume of the block. A density of 0.39 g/cm³ would imply that the block is extremely lightweight, which contradicts the actual mass of 184.32 g for the given volume.

D (None of the above.) YOUR ANSWER

This option implies that none of the provided choices are correct. However, since we calculated the density to be 2.56 g/cm³, which matches choice B, this option is incorrect.

Conclusion

Density is a fundamental property calculated from mass and volume, and in this case, the accurate density of the block is 2.56 g/cm³. The other choices either misrepresent the relationship between mass and volume or imply incorrect material properties. Understanding this calculation is essential for evaluating the physical characteristics of various materials.

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.

The density of the block is 2.56 g/cm³.

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