A block on your desk acts as a paperweight with measurements of 3 cm by 4 cm by 6 cm. The block has a mass of 184.32 g. What is its density?

Rationale

The density of the block is 2.56 g/cm³.

To calculate density, you divide mass by volume. The volume of the block can be calculated by multiplying its dimensions (3 cm × 4 cm × 6 cm), which equals 72 cm³. Dividing the mass (184.32 g) by the volume (72 cm³) gives a density of 2.56 g/cm³.

A (13,271.04 g/cm³) YOUR ANSWER

This option significantly overestimates the density. It is likely derived from an incorrect calculation or misunderstanding of the formula for density. The mass and volume provided do not support such a high density value, which would imply an extraordinarily dense material, far beyond the common densities of typical substances.

B (2.56 g/cm³) CORRECT

This is the correct answer as it accurately reflects the result of the density calculation. By dividing the mass of 184.32 g by the calculated volume of 72 cm³, we find that the density is indeed 2.56 g/cm³, making it a valid and reasonable value for this block.

C (0.39 g/cm³) YOUR ANSWER

This choice underestimates the density significantly. A density of 0.39 g/cm³ would suggest a very light material, such as a gas or a very porous substance. Given the mass and volume of the block, this value does not align with realistic expectations for a solid object of this size and weight.

D (None of the above) YOUR ANSWER

This option implies that the correct density is not listed among the choices. However, since the correct density has been calculated as 2.56 g/cm³, this option is incorrect. It fails to recognize that the correct answer is indeed provided in option B.

Conclusion

The calculation of density is straightforward when applying the formula of mass divided by volume. For the given block, the correct density of 2.56 g/cm³ is confirmed through proper measurement and calculation. The other choices either miscalculate or misinterpret the properties of the material, demonstrating the importance of accurate mathematical reasoning in determining physical characteristics.

A block on your desk acts as a paperweight with measurements of 3 cm by 4 cm by 6 cm. The block has a mass of 184.32 g. What is its density?

The density of the block is 2.56 g/cm³.

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