Question 9

The density of the block is 2.56 g/cm³.

To find the density, we divide the mass of the block by its volume. The volume of the block is calculated as length × width × height, which is 3 cm × 4 cm × 6 cm = 72 cm³. Therefore, the density is 184.32 g / 72 cm³ = 2.56 g/cm³.

A) 13,271.04 g/cm³

This option is incorrect because it suggests an impossibly high density that does not correspond to the calculated density of the block. The value seems to arise from a misunderstanding of the units or the calculation process.

B) 2.56 g/cm³

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

C) 0.39 g/cm³

This option is incorrect as it underestimates the density of the block. The calculated density of 2.56 g/cm³ is significantly higher than this value, indicating a miscalculation or misunderstanding of the mass or volume involved.

D) None of the above

This option is incorrect because option B provides the correct density value. Therefore, stating that none of the options are correct is inaccurate in this case.

Conclusion

The correct answer, 2.56 g/cm³, is determined through precise calculation of the block's density using its mass and volume. All other options either misrepresent the density or are incorrect calculations, making them invalid choices in this context.